Prof Brian Dolan

    Theoretical Physics, Physics

    Emeritus Professor

    Science Building
    1.7B
    (01) 708 3762

    Biography

    1978 1st Class Honours in Mathematical Physics (B.Sc. Edin.), Department of Physics, Edinburgh University, Edinburgh, Scotland; 1981 Ph.D. Department of Mathematics, Durham University, England; 1981-83 Hospital physicist, Greater Glasgow Health Board, Glasgow, Scotland; 1983-86 Research fellow, Dept. of Physics and Astronomy, University of Glasgow, Scotland; 1986-96 Lecturer: Dept. of Mathematical Physics, NUI Maynooth; 1996-present: Senior Lecturer: Dept. of Mathematical Physics, NUI Maynooth; 2000-01 Visiting professor, Catedra Patrimonial, level II: Mexican National Council for Science and Technology (CONACyT) Dept. of Physics, Centro de Investigation y Estudios Avanzados del IPN, (CINVESTAV), Mexico City, Mexico. Other affiliations: Research Associate of the Dublin Institute for Advanced Studies (DIAS); Chartered Physicist (C.Phys.); Member of the Institute of Physics (M.Inst.P.)

    Peer Reviewed Journal

    Year Publication
    2021 Dolan B.P. (2021) 'On the group generated by C, P and T: I 2= T 2= P 2= ITP = -1, with applications to pseudo-scalar mesons'. Journal of Physics A: Mathematical and Theoretical, 54 (30). [DOI] [Full-Text]
    2021 Dolan B.P. (2021) 'Duality and modular symmetry in the quantum Hall effect from Lifshitz holography'. Journal of High Energy Physics, 2021 (8). [DOI] [Full-Text]
    2021 Brian Dolan (2021) 'On the group generated by C, P and T: I^2=T^2=P^2=ITP=-1, with applications to pseudo-scalar mesons'. Journal of Physics A: Mathematical and Theoretical, . https://doi.org/10.1088/1751-8121/abe831 [Full-Text]
    2020 Dolan B.P.; Hunter-Mccabe A. (2020) 'Ground state wave functions for the quantum Hall effect on a sphere and the Atiyah-Singer index theorem'. Journal of Physics A: Mathematical and Theoretical, 53 (21). [DOI] [Full-Text]
    2018 Dolan B. (2018) 'On the definition of mass in general relativity: Noether charges and conserved quantities in diffeomorphism invariant theories'. PHYSICAL REVIEW D  , 98 (4). [DOI] [Full-Text]
    2015 Dolan B. (2015) 'Black holes and Boyle's law - The thermodynamics of the cosmological constant'. Modern Physics Letters A, 30 . [DOI] [Full-Text]
    2015 Brian P Dolan (2015) 'Intrinsic curvature of thermodynamic potentials for black holes with critical points'. PHYSICAL REVIEW D  , 92 . [Full-Text]
    2015 Dolan, BP (2015) 'Intrinsic curvature of thermodynamic potentials for black holes with critical points'. Physical Review D - Particles, Fields, Gravitation and Cosmology, 92 . [DOI] [Full-Text]
    2014 Dolan B.; Kostouki A.; Kubizňák D.; Mann R. (2014) 'Isolated critical point from Lovelock gravity'. Classical and Quantum Gravity, 31 (24). [DOI]
    2013 Dolan B.; Kastor D.; Kubizňák D.; Mann R.; Traschen J. (2013) 'Thermodynamic volumes and isoperimetric inequalities for de Sitter black holes'. Physical Review D - Particles, Fields, Gravitation and Cosmology, 87 (10). [DOI] [Full-Text]
    2013 Dolan B.; Szabo R. (2013) 'Solitons and Yukawa couplings in nearly Kähler flux compactifications'. Physical Review D - Particles, Fields, Gravitation and Cosmology, 88 (6). [DOI] [Full-Text]
    2011 Dolan B. (2011) 'Duality in strongly interacting systems: N{script} = 2 SUSY Yang-Mills and the quantum Hall effect'. Fortschritte der Physik, 59 (11-12):1174-1186. [DOI] [Full-Text]
    2011 Dolan B. (2011) 'Compressibility of rotating black holes'. Physical Review D - Particles, Fields, Gravitation and Cosmology, 84 (12). [DOI] [Full-Text]
    2011 Brian P Dolan (2011) 'Modular Symmetry and Fractional Charges in N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect'. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 59 (11-12):1174-1186. [DOI] [Full-Text]
    2010 Dolan, BP (2010) 'Modular symmetry and temperature flow of conductivities in quantum Hall systems with varying Zeeman energy'. Physical Review B - Condensed Matter and Materials Physics, 82 . [DOI] [Full-Text]
    2009 Dolan B.; Szabo R. (2009) 'Dimensional reduction, monopoles and dynamical symmetry breaking'. Journal of High Energy Physics, 2009 (3). [DOI] [Full-Text]
    2008 Dolan B.; Huet I.; Murray S.; O' Connor D. (2008) 'A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces'. Journal of High Energy Physics, 2008 (3). [DOI] [Full-Text]
    2007 Burgess C.; Dolan B. (2007) 'Modular symmetry, the semicircle law, and quantum Hall bilayers'. Physical Review B - Condensed Matter and Materials Physics, 76 (15). [DOI] [Full-Text]
    2007 Burgess C.; Dolan B. (2007) 'Quantum Hall effect in graphene: Emergent modular symmetry and the semicircle law'. Physical Review B - Condensed Matter and Materials Physics, 76 (11). [DOI] [Full-Text]
    2007 Dolan B.; Huet I.; Murray S.; O'Connor D. (2007) 'Noncommutative vector bundles over fuzzy CPN and their covariant derivatives'. Journal of High Energy Physics, 2007 (7). [DOI] [Full-Text]
    2007 Dolan B. (2007) 'Modular symmetry and fractional charges in N = 2 supersymmetric Yang-Mills and the quantum hall effect'. Symmetry, Integrability And Geometry: Methods And Applications (Sigma), 3 . [DOI] [Full-Text]
    2006 Dr Brian P Dolan (2006) 'Duality in Supersymmetric Yang-Mills and the Quantum Hall Effect'. Modern Physics Letters A, 21 :1567-1585. [DOI] [Full-Text]
    2004 Dolan, BP; O'Connor, D; Presnajder, P (2004) 'Fuzzy complex quadrics and spheres'. Journal of High Energy Physics, . [Full-Text]
    2003 Dolan B.; O'Connor D. (2003) 'A fuzzy three sphere and fuzzy tori'. Journal of High Energy Physics, 7 (10):1501-1516. [Full-Text]
    2003 Dolan B. (2003) 'The spectrum of the Dirac operator on coset spaces with homogeneous gauge fields'. Journal of High Energy Physics, 7 (5):363-384. [Full-Text]
    2002 Dolan B.; Nash C. (2002) 'Chiral fermions and Spinc structures on matrix approximations to manifolds'. Journal of High Energy Physics, 6 (7):1437-1458. [Full-Text]
    2002 Dolan B.; Johnston D. (2002) 'One-dimensional Potts model, Lee-Yang edges, and chaos'. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 65 (5):057103/1-057103/4. [DOI] [Full-Text]
    2002 Dolan B.; Nash C. (2002) 'The standard model fermion spectrum from complex projective spaces'. Journal of High Energy Physics, 6 (10):939-951. [Full-Text]
    2002 Dolan B.; O'Connor D.; Prešnajder P. (2002) 'Matrix φ4 models on the fuzzy sphere and their continuum limits'. Journal of High Energy Physics, 6 (3):201-215. [Full-Text]
    2000 Dolan B. (2000) 'Duality in the quantum Hall effect: The role of electron spin'. Physical Review B, 62 (15):10278-10291. [DOI] [Full-Text]
    1999 Dolan B.; Lewis A. (1999) 'Renormalization group flow and parallel transport with non-metric compatible connections'. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 460 (3-4):302-306. [Full-Text]
    1999 Dolan B. (1999) 'Duality and the modular group in the quantum Hall effect'. Journal of Physics A: Mathematical and General, 32 (21):L243-L248. [DOI] [Full-Text]
    2018 Dolan B. (2018) 'A Tale of two derivatives: Phase space symmetries and Noether charges in diffeomorphism invariant theories'. PHYSICAL REVIEW D  , 98 (4). [DOI] [Full-Text]
    2016 Dolan B. (2016) 'Pressure and compressibility of conformal field theories from the AdS/CFT correspondence'. Entropy, 18 (5). [DOI] [Full-Text]
    2014 Dr Brian P Dolan (2014) 'Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions'. Classical and Quantum Gravity, 31 . [DOI] [Full-Text]
    2014 Dr Brian P Dolan, Anna Kostouki, David Kubiznak and Robert B. Mann (2014) 'Isolated critical point from Lovelock gravity '. Classical and Quantum Gravity, 31 . [Full-Text]
    2014 Dr Brian P Dolan (2014) 'On the thermodynamic stability of rotating black holes in higher dimensions -- a comparison of thermodynamic ensembles'. Classical and Quantum Gravity, 31 . [DOI] [Full-Text]
    2014 Dr Brian P Dolan (2014) 'Vacuum energy and the latent heat of AdS-Kerr black holes'. 90 . [DOI] [Full-Text]
    2014 Dr Brian P Dolan (2014) 'Bose condensation and branes'. Journal of High Energy Physics, 10 . [DOI] [Full-Text]
    2013 Dr Brian P Dolan (2013) 'Critical Behaviour of the Fuzzy Sphere'. Journal of High Energy Physics, 12 . [DOI] [Full-Text]
    2013 Dolan, Dr Brian P (2013) 'Thermodynamic volumes and isoperimetric inequalities for de Sitter black holes'. 87 . [DOI] [Full-Text]
    2012 Y-T. Wang, G-H. Kim, C.F. Huang, S-T. Lo, W-J. Chen, J.T. Nicholls, L-H. Lin, D.A. Ritchie, Y-H. Chang and C.T. Liang and B. P. Dolan (2012) 'Probing temperature-driven flows lines by varying effective spin-splitting in a two dimensional electron gas containing self-assembled InAs dots'. Journal of Physics Condensed Matter, 24 . [DOI] [Full-Text]
    2012 Dolan, B. P., J. Medina, Y. Huet and D. O'Connor (2012) 'Scalar and Spinor Field Actions on Fuzzy S^4: fuzzy CP^3 as a S_F^2 bundle over S_F^4'. Journal of High Energy Physics, 08 . [DOI] [Full-Text]
    2011 Bayntun, A., C. Burgess, Brian P Dolan and Sung-Sik Lee (2011) 'Towards a Holographic Phenomenology of Quantum Hall Experiments'. New Journal of Physics, 13 . [Full-Text]
    2011 B.P. Dolan (2011) 'Pressure and volume in the first law of black hole thermodynamics '. Classical and Quantum Gravity, 28 . [DOI] [Full-Text]
    2011 B.P. Dolan (2011) 'Compressibility of rotating black holes '. 84 . [DOI] [Full-Text]
    2007 B.P. Dolan, I. Huet, S. Murray and D. O'Connor (2007) 'Noncommutative vector bundles over fuzzy CP^N and their covariant derivatives'. Journal of High Energy Physics, 07 . [Full-Text]
    2007 B.P. Dolan co-authors K. Gupta and A. Stern (2007) 'Non-commutative BTZ Black Hole and Discrete Time'. Classical and Quantum Gravity, 24 :1647-1655. [Full-Text]
    2007 B.P. Dolan and C. Burgess (2007) 'Duality, the Semi-Circle Law and Quantum Hall Bilayers'. Physical Review B, B76 . [DOI] [Full-Text]
    2007 B.P. Dolan and C. Burgess (2007) 'The Quantum Hall Effect in Graphene: Emergent Modular Symmetry and the Semi-circle Law'. Physical Review B, B76 . [DOI] [Full-Text]
    2006 B.P. Dolan (2006) 'Meromorphic Scaling Flow of N=2 Supersymmetric SU(2) Yang-Mills with Matter'. Nuclear Physics B, B737 :153-157. [Full-Text]
    2003 B.P. Dolan (2003) 'Non-commutative Complex Projective Spaces and the Standard Model Space-time and Fundamental Interactions: Quantum Aspects'. A18 :2319-2327. [Full-Text]
    2003 B. P. Dolan (2003) 'Non-commutative Complex Projective Spaces and the Standard Model'. 18 . [Full-Text]
    2002 B.P. Dolan, D. O'Connor and P. Presnajder (2002) 'Matrix phi^4 Models on the Fuzzy Sphere and their Continuum Limits'. Journal of High Energy Physics, 03 . [Full-Text]
    2002 B.P. Dolan, D.A. Johnston and R. Kenna (2002) 'The Information Geometry of the One-Dimensional Potts Model'. JOURNAL OF PHYSICS A, 35 :9025-9036. [Full-Text]
    2002 B.P. Dolan and D.A. Johnston (2002) '1D Potts, Yang-Lee Edges and Chaos'. E65 . [Full-Text]
    2002 C.P. Burgess and B.P. Dolan (2002) 'Duality and Non-linear Response for Quantum Hall Systems'. Physical Review B, B65 . [Full-Text]
    2002 A.P Balachandran, B.P. Dolan, J. Lee, X. Martin and D. O'Connor (2002) 'Fuzzy Complex Projective Spaces and their Star Products'. Journal of Geometry and Physics, 43 :184-204. [Full-Text]
    2001 C.P. Burgess and B.P.Dolan (2001) 'Particle-Vortex Duality and the Modular Group: Application to the Quantum Hall Effect and Other 2-D Systems'. B63 .
    2001 B.P. Dolan, W. Janke, D.A. Johnston, M. Stathakopoulos (2001) 'Thin Fisher Zeroes'. JOURNAL OF PHYSICS A, A34 :6211-6223. [Full-Text]
    2000 C.P. Burgess, B.P. Dolan and Rim Dib (2000) 'Derivation of the Semi-circle Law from the Law of Corresponding States'. Physical Review B, B62 :15359-15362. [Full-Text]
    1999 B.P. Dolan and A. Lewis (1999) 'Renormalization group Flow and Parallel Transport with non-Metric Compatible Connections'. B460 :302-306. [Full-Text]
    1999 B.P. Dolan (1999) 'Duality and The Modular Group in the Quantum Hall Effect'. JOURNAL OF PHYSICS A, A32 :L243-L248. [Full-Text]
    1998 B.P. Dolan (1998) 'Renormalisation Group Flow and Geodesics in the O(N) Model for Large N'. Nuclear Physics B, B528 [FS] :553-576. [Full-Text]
    1998 B.P. Dolan (1998) 'Geometry and Thermodynamic Fluctuations of The Ising Model on a Bethe Lattice'. PROCEEDINGS OF THE ROYAL SOCIETY A, A454 :2655-2665. [Full-Text]
    1998 B.P. Dolan (1998) 'Renormalisation Flow and Geodesics on the Moduli Space of Four Dimensional N=2 Supersymmetric Yang-Mills Theory'. B418 :107-110. [Full-Text]
    1998 B.P. Dolan (1998) 'The Generating Function For Ashtekar's Canonical Transformation In The Presence Of Torsion'. B233 :89-92.
    1997 B.P. Dolan and K.P. Haugh (1997) 'A Covariant Approach To Ashtekar's Canonical Gravity'. Classical and Quantum Gravity, 14 :477-488. [Full-Text]
    1997 B.P. Dolan (1997) 'Geodesic Renormalisation Group Flow'. International Journal of Modern Physics A, A12 :2413-2424. [Full-Text]
    1995 B.P. Dolan (1995) 'Symplectic Geometry And Hamiltonian Flow Of The Renormalisation Group Equation'. International Journal of Modern Physics A, A10 :2703-2732. [Full-Text]
    1995 B.P. Dolan (1995) 'Chaotic Behaviour Of Renormalisation Flow In The One Dimensional Ising Model'. E52 :4512-4515. [Full-Text]
    1995 B.P. Dolan (1995) 'Co-variant Derivatives And The Renormalisation Group Equation'. International Journal of Modern Physics A, A10 :2439-2465. [Full-Text]
    1994 B.P. Dolan (1994) 'A Geometrical Interpretation Of Renormalisation Group Flow'. International Journal of Modern Physics A, A9 :1261-1286. [Full-Text]
    1993 B.P. Dolan (1993) 'Integrability Conditions For Potential Flow Of The Renormalisation Group'. B312 :97-104. [Full-Text]
    1993 B.P. Dolan (1993) 'Potential Flow Of The Renormalisation Group In A Simple Two Component Model'. A8 :3103-3110. [Full-Text]
    1993 B.P. Dolan (1993) 'Quantum Non-demolition Of The Universe'. D48 :3672-3676. [Full-Text]
    1990 B.P. Dolan (1990) 'A Hamiltonian Formalism For Bosonic Membranes'. ZEITSCHRIFT FUR PHYSIK, C46 :317-322. [Full-Text]
    1990 B.P. Dolan (1990) 'BRST Symmetry and Quantum Mechanics on Symmetric Spaces'. JOURNAL OF PHYSICS A, 23 :4439-4453. [Full-Text]
    1988 B.P. Dolan and D.H. Tchrakian (1988) 'New Lagrangians For Bosonic m-branes With Vanishing Cosmological Constant'. B202 :211-216.
    1988 B.P. Dolan, D.C. Dunbar and A.B. Henriques (1988) 'Compactification On Non-Symmetric Six Dimensional Coset Spaces With Torsion'. ZEITSCHRIFT FUR PHYSIK, C40 :259-272. [Full-Text]
    1988 B.P. Dolan (1988) 'A Group Theoretical Approach To Black Hole Radiation'. Journal Il Nuovo Cimento, 102B :649-659. [Full-Text]
    1987 DOLAN, B; TCHRAKIAN, DH (1987) 'CONFORMALLY INVARIANT SIGMA-MODELS IN 2N DIMENSIONS'. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 198 :447-450.
    1987 B.P. Dolan and D.H. Tchrakian (1987) 'Conformally Invariant sigma Models in 2n Dimensions'. B198 :447-450.
    1986 B.P. Dolan (1986) 'A Geometrical Interpretation Of The Time Evolution Of The Schrodinger Equation For Discrete Quantum Systems'. ANNALES DE L'INSTITUT HENRI POINCARÉ, 45 :257-275. [Full-Text]
    1986 B.P. Dolan, R.G. Moorhouse and A.B Henriques (1986) 'Torsion in an Extended Chapline-Manton Theory'. B166 :392-396.
    1985 B.P. Dolan (1985) 'An Eleven Dimensional Supergravity Monopole - A Way To Chiral Fermions?'. B163 :131-134.
    1985 B.P. Dolan, I.M. Benn and R.W. Tucker (1985) 'Algebraic Spin Structures'. B150 :100-102.
    1985 B.P. Dolan (1985) 'Spinors on CP^2 in d>9 Supergravity'. ANNALES DE L'INSTITUT HENRI POINCARÉ, 42 :375-382. [Full-Text]
    1985 B.P. Dolan (1985) 'The Kahler 2-form in d=11 Supergravity'. Classical and Quantum Gravity, 2 :309-321. [Full-Text]
    1985 B.P. Dolan (1985) 'On the Elimination of Pauli Couplings In Kaluza-Klein Theories Using Torsion'. B159 :279-283.
    1985 B.P. Dolan (1985) 'An S^2 x S^1 Bundle Over CP^2 - A Solution Of d=11 Supergravity With Internal Isometry Group (SU(3)/Z_3) x U(2)'. Classical and Quantum Gravity, 2 :L91-L94. [Full-Text]
    1984 B.P. Dolan (1984) 'A New Solution of d=11 Supergravity With Internal Isometry Group SU(3) x SU(2) x U(1)'. B140 :304-306.
    1982 B.P. Dolan (1982) 'Quaternionic Metrics and SU(2) Yang-Mills'. JOURNAL OF PHYSICS A, A15 :2191-2200. [Full-Text]
    1981 B.P. Dolan (1981) 'A Class of Instanton Solutions in Curved Space Times'. JOURNAL OF PHYSICS A, A14 :1205-1210. [Full-Text]

    Book Chapter

    Year Publication
    2012 Brian P Dolan (2012) 'Where is the PdV term in the first law of black hole thermodynamics?' In: Open Questions in Cosmology. online : InTech. [DOI] [Full-Text]

    Conference Publication

    Year Publication
    2015 Dolan B. (2015) Proceedings of Science Black holes, Boyle’s Law and the quark-gluon plasma [Full-Text]
    2014 Dr Brian P Dolan (2014) Fortschritte der Physik, vol 62 Black holes, the van der Waals gas, compressibility and the speed of sound [DOI] [Full-Text]
    2011 Dr Brian P Dolan (2011) Fortschritte der Physik, vol 59 Duality in strongly interacting systems: N = 2 SUSY Yang-Mills and the Quantum Hall Effect [DOI] [Full-Text]
    2010 Dolan, Brian P (2010) Proceedings of Science (CNCFG2010) Enthalpy and the first law of black hole thermodynamics [Full-Text]
    2009 Dolan, B P., G.S. Gupta and A. Stern (2009) Journal of Physics: Conference Series, volume 174 Non-commutavity and quantum structure of space-time [DOI]
    2007 B.P. Dolan (2007) Proceedings of the 33rd International Conference on High Energy Physics Supersymmetric Yang-Mills and the Quantum Hall effect
    2002 D. O'Connor, B P Dolan and P Presnajder (2002) NATO Science Series. II, Mathematics, Physics, and Chemistry, Vol. 83 (Kluwer) Matrix models on the fuzzy sphere [Full-Text]
    2002 Dr Brian P Dolan (2002) Energy Spectra In Inflationary Models
    1999 B.P. Dolan (1999) The Exact Renormalisation Group: Proceedings of the Workshop on the Exact Renormalisation Group, World Scientific The Modular and Renormalisation Groups in the Quantum Hall Effect [Full-Text]
    1987 B.P. Dolan, D.C. Dunbar, A.B. Henriques and R.G. Moorhouse (1987) Super Field Theories, NATO ASI Series B:Physics Vol. 160, Plenum (1987) Non-Symmetric Coset Spaces With Torsion - Alternative Compactifications of 10-d Superstrings
    1985 B.P. Dolan (1985) An Eleven Dimensional Supergravity Monopole

    Conference Contribution

    Year Publication
    2002 B.P. Dolan, Denjoe O'Connor and Peter Presnajder (2002) NATO Advanced Research Workshop on Confiment, Topology, and other Non-Perturbative Aspects of QCD Stara Lesna, Slovakia, 21/01/2002-27/01/2002.
    1999 B.P. Dolan (1999) XXth UK Institute on Theoretical High Energy Physics Dept. of Physics, Swansea, University of Wales, 23/08/1999-27/08/1999.
    1999 B.P. Dolan (1999) RG 2000 Taxco, Mexico, 11/01/1999-15/01/1999.
    1999 B.P. Dolan (1999) 6th Irish Quantum Field Theory meeting NUI Galway, 14/05/1999-15/05/1999.
    1998 B.P. Dolan (1998) Workshop on The Exact Renormalisation Group Faro, Portugal, 10/09/1998-12/09/1998.
    1995 B.P. Dolan (1995) Statphys 19 Xiamen, China, 31/07/1995-04/08/1995.

    Letters

    Year Publication
    2007 Dolan, B (2007) Incredible physics. BRISTOL: [Letters]
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