Article

Dolan, Brian P. (2021) Duality and modular symmetry in the quantum Hall effect from Lifshitz holography. Journal of High Energy Physics, 2021 (8). ISSN 1126-6708

Dolan, Brian 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). p. 305401. ISSN 1751-8121

Dolan, Brian P., Hunter-McCabe, Aonghus and Twamley, Jason (2020) Shaking photons from the vacuum: acceleration radiation from vibrating atoms. New Journal of Physics (NJP), 22 (033026). ISSN 1367-2630

Dolan, Brian P. (2019) The definition of mass in asymptotically de Sitter space-times. Classical and Quantum Gravity, 36 (7). ISSN 0264-9381

Dolan, Brian P. (2018) On the definition of mass in general relativity: Noether charges and conserved quantities in diffeomorphism invariant theories. Physical Review D, 98 (044010). ISSN 1550-7998

Dolan, Brian P. (2018) A Tale of two derivatives: Phase space symmetries and Noether charges in diffeomorphism invariant theories. Physical Review D, 98 (044009). ISSN 1550-7998

Dolan, Brian P. (2016) Pressure and Compressibility of Conformal Field Theories from the AdS/CFT Correspondence. Entropy, 18 (5). p. 169. ISSN 1099-4300

Dolan, Brian P. (2015) Black holes, Boyle’s Law and the quark-gluon plasma. Proceedings of Science, 263 (136). ISSN 1824-8039

Dolan, Brian P. (2015) Intrinsic curvature of thermodynamic potentials for black holes with critical points. Physical Review D, 92 (004013). ISSN 1550-7998

Dolan, Brian P. (2014) Black holes, the van der Waals gas, compressibility and the speed of sound. Fortschritte der Physik, 62 (9-10). pp. 892-897. ISSN 0015-8208

Dolan, Brian P. (2014) Bose condensation and branes. Journal of High Energy Physics, 179. pp. 1-7. ISSN 1029-8479

Dolan, Brian P., Kostouki, Anna, Kubiznak, David and Mann, Robert B. (2014) Isolated critical point from Lovelock gravity. Classical and Quantum Gravity, 31 (242001). pp. 1-7. ISSN 0264-9381

Dolan, Brian P. (2014) On the thermodynamic stability of rotating black holes in higher dimensions — a comparison of thermodynamic ensembles. Classical & Quantum Gravity, 31 (135012). pp. 1-41. ISSN 0264-9381

Dolan, Brian P. (2014) Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions. Classical and Quantum Gravity, 31 (165011). pp. 1-23. ISSN 0264-9381

Dolan, Brian P. (2014) Vacuum energy and the latent heat of AdS-Kerr black holes. Physical Review D, 90 (084002). pp. 1-8. ISSN 1550-7998

O'Connor, Denjoe, Dolan, Brian P. and Vachovski, Martin Petrov (2013) Critical behaviour of the fuzzy sphere. Journal of High Energy Physics, 12 (085). pp. 1-28. ISSN 1029-8479

Dolan, Brian P. and Szabo, Richard J. (2013) Solitons and Yukawa couplings in nearly Kähler flux compactifications. Physical Review D, 88 (066002). ISSN 1550-7998

Dolan, Brian P., Kastor, David, Kubiznak, David, Mann, Robert B. and Traschen, Jennie (2013) Thermodynamic volumes and isoperimetric inequalities for de Sitter black holes. Physical Review D, 87 (104017). ISSN 1550-7998

Medina, Julieta, Huet, Idrish, O'Connor, Denjoe and Dolan, Brian P. (2012) Scalar and spinor field actions on fuzzy S4: fuzzy CP3 as a S2F bundle over S4F. Journal of High Energy Physics, 70. ISSN 1126-6708

Wang, Yi-Ting, Kim, Gil-Ho, Huang, C. F., Lo, Shun-Tsung, Chen, Wei-Jen, Nicholls, J.T,, Lin, Li-Hung, Richie, D.A., Chang, Y.H., Liang, C.T. and Dolan, Brian P. (2012) Probing temperature-driven flow lines in a gated two-dimensional electron gas with tunable spin-splitting. Journal of Physics: Condensed Matter, 24 (405801). ISSN 0953-8984

Dolan, Brian P. (2011) The cosmological constant and black hole thermodynamic potentials. Classical and Quantum Gravity, 28 (125020). pp. 1-13. ISSN 0264-9381

Dolan, Brian P. (2011) Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect. Journal of Physics A: Mathematical and Theoretical, 44 (17501). pp. 1-11. ISSN 1751-8121

Bayntun, Allan, Burgess, C. P., Dolan, Brian P. and Lee, Sung-Sik (2011) AdS/QHE: towards a holographic description of quantum Hall experiments. New Journal of Physics (NJP), 13 (035012). pp. 1-48. ISSN 1367-2630

Dolan, Brian P. (2011) Compressibility of rotating black holes. Physical Review D, 84 (127503). ISSN 1550-7998

Dolan, Brian P. (2011) Duality in strongly interacting systems: N = 2SUSY Yang-Mills and the quantum Hall effect. Fortschritte der Physik, 59 (11-12). pp. 1174-1186. ISSN 0015-8208

Dolan, Brian P. (2011) Pressure and volume in the first law of black hole thermodynamics. Classical and Quantum Gravity, 28. ISSN 0264-9381

Dolan, Brian P. (2010) Modular symmetry and temperature flow of conductivities in quantum Hall systems with varying Zeeman energy. Physical Review B, 82 (19). pp. 1-8. ISSN 1098-0121

Dolan, Brian P. and Szabo, Richard J. (2010) Equivariant Dimensional Reduction and Quiver Gauge Theories. General Relativity and Gravitation (Online First). pp. 1-10. ISSN 0001-7701

Dolan, Brian P. (2010) Chiral fermions and torsion in the early Universe. Classical and Quantum Gravity, 27 (9). pp. 1-5. ISSN 0264-9381 (Unpublished)

Dolan, Brian P. (2010) Enthalpy and the first law of black hole thermodynamics. Proceedings of Science, CNCFG2010. pp. 1-9. ISSN 1824-8039

Dolan, Brian P. and Szabo, Richard J. (2009) Dimensional Reduction and Vacuum Structure of Quiver Gauge Theory. Journal of High Energy Physics, 2009 (8-038). pp. 1-37. ISSN 1126-6708

Dolan, Brian P. and Szabo, Richard J. (2009) Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking. Journal of High Energy Physics, 3 (059). pp. 1-26. ISSN 1126-6708

Dolan, Brian P., Gupta, Kumar S. and Stern, A. (2009) Noncommutativity and quantum structure of spacetime. Journal of Physics: Conference Series, 174 (012023). ISSN 1742-6588

Dolan, Brian P., Huet, Idrish, Murray, Sean and O’Connor, Denjoe (2008) A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces. Journal of High Energy Physics, 2008 (03-029). pp. 1-25. ISSN 1126-6708

Burgess, C. P. and Dolan, Brian P. (2007) The Quantum Hall Effect in Graphene: Emergent Modular Symmetry and the Semi-circle Law. Physical Review B, 76 (113406). pp. 1-4. ISSN 1098-0121

Dolan, Brian P., Gupta, Kumar S. and Stern, A. (2007) Noncommutative BTZ Black Hole and Discrete Time. Classical and Quantum Gravity, 24. pp. 1647-1655. ISSN 0264-9381

Dolan, Brian P. (2007) Modular Symmetry and Fractional Charges in N = 2 Supersymmetric Yang–Mills and the Quantum Hall Effect. Symmetry, Integrability and Geometry : Methods and Applications, 3 (10). pp. 1-31. ISSN 1815-0659

Burgess, C. P. and Dolan, Brian P. (2007) Modular Symmetry, the Semi-Circle Law and Quantum Hall Bilayers. Physical Review B, 76 (155310). pp. 1-12. ISSN 1098-0121

Burgess, C. P. and Dolan, Brian P. (2007) Modular symmetry, the semicircle law, and quantum Hall bilayers. Physical Review B, 76 (155310). ISSN 1098-0121

Dolan, Brian P., Huet, Idrish, Murray, Sean and O'Connor, Denjoe (2007) Noncommutative vector bundles over fuzzy CPN and their covariant derivatives. Journal of High Energy Physics, 07 (007). pp. 1-35. ISSN 1126-6708

Dolan, Brian P. (2006) N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect. International Journal of Modern Physics A, 21 (23/24). pp. 4807-4822. ISSN 0217-751X

Dolan, Brian P. (2006) Meromorphic Scaling Flow of N = 2 Supersymmetric SU(2) Yang-Mills with Matter. Nuclear Physics B, 737 (1/2). pp. 153-175. ISSN 0550-3213

Dolan, Brian P. (2006) Duality in Supersymmetric Yang-Mills and the Quantum Hall effect. Modern Physics Letters A, 21 (20). pp. 1567-1585. ISSN 0217-7323

Dolan, Brian P. (2005) Quantum Black Holes: the Event Horizon as a Fuzzy Sphere. Journal of High Energy Physics, 0502 (008). pp. 1-14. ISSN 1126-6708

Dolan, Brian P., O'Connor, Denjoe and Presnajder, Peter (2004) Fuzzy Complex Quadrics and Spheres. Journal of High Energy Physics, 0402.

Dolan, Brian P. (2003) The Spectrum of the Dirac Operator on Coset Spaces with Homogeneous Gauge Fields. Journal of High Energy Physics, 0305.

Dolan, Brian P. and Jahn, Oliver (2003) Fuzzy Complex Grassmannian Spaces and their Star Products. International Journal of Modern Physics A, 18 (11). pp. 1935-1957.

Dolan, Brian P. and O'Connor, Denjoe (2003) A Fuzzy Three Sphere and Fuzzy Tori. Journal of High Energy Physics, 0310.

Dolan, Brian P. (2003) Non-commutative Complex Projective Spaces And The Standard Model. Modern Physics Letters A, 18 (33-35). pp. 2319-2327. ISSN 0217-7323

Dolan, Brian P. and Nash, Charles (2002) The Standard Model Fermion Spectrum from Complex Projective spaces. Journal of High Energy Physics, 0210. 008.

Dolan, Brian P., Johnston, D.A. and Kenna, R. (2002) The Information Geometry of the One-Dimensional Potts Model. Journal of Physics A: Mathematical and General, 35 (43). pp. 9025-9036.

Balachandran, A.P., Dolan, Brian P., Lee, J., Martin, X. and O'Connor, Denjoe (2002) Fuzzy Complex Projective Spaces and their Star-products. Journal of Geometry and Physics , 43 (2/3). pp. 184-204. ISSN 0393-0440

Dolan, Brian P. and Nash, Charles (2002) Chiral Fermions and Spinc structures on Matrix approximations to manifolds. Journal of High Energy Physics, 0207. (In Press)

Burgess, C. P. and Dolan, Brian P. (2002) Duality and nonlinear response for quantum Hall systems. Physical Review B, 65 (155323). pp. 1-7. ISSN 1098-0121

Dolan, Brian P., O'Connor, Denjoe and Presnajder, P. (2002) Matrix ϕ4 Models on the Fuzzy Sphere and their Continuum Limits. Journal of High Energy Physics, 3 (013). pp. 1-16. ISSN 1126-6708

Dolan, Brian P. and Johnston, D.A. (2002) One-dimensional Potts model, Lee-Yang edges, and chaos. Physical Review E, 65 (057103). pp. 1-4. ISSN 1539-3755

Burgess, C. P. and Dolan, Brian P. (2001) Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems. Physical Review B, 63 (15). pp. 155309-155330. ISSN 1098-0121

Dolan, Brian P., Janke, W., Johnston, D.A. and Stathakopoulos, M. (2001) Thin Fisher zeros. Journal of Physics A: Mathematical and General, 34 (6211). ISSN 1751-8113

Dolan, Brian P. (2000) Duality in the Quantum Hall Effect - the Role of Electron Spin. Physical Review B, 62. pp. 10278-10291. ISSN 1098-0121

Burgess, C. P., Dib, Rim and Dolan, Brian P. (2000) Derivation of the semicircle law from the law of corresponding states. Physical Review B, 62 (15359). ISSN 1098-0121

Dolan, Brian P. (1999) Duality and the modular group in the quantum Hall effect. Journal of Physics A: Mathematical and General, 32 (21). L243-L248. ISSN 0305-4470

Dolan, Brian P. (1999) Modular invariance, universality and crossover in the quantum Hall effect. Nuclear Physics B, 554 (3). pp. 487-513. ISSN 0550-3213

Dolan, Brian P. and Lewis, Alex (1999) Renormalization group flow and parallel transport with non-metric compatible connections. Physics Letters B, 469 (3-4). pp. 302-306. ISSN 0370-2693

Dolan, Brian P. (1998) Geometry and thermodynamic fluctuations of the Ising model on a Bethe lattice. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 454 (1978). pp. 2655-2665. ISSN 1364-5021

Dolan, Brian P. (1998) Renormalisation flow and geodesics on the moduli space of four dimensional N=2 supersymmetric Yang–Mills theory. Physics Letters B, 418 (1-2). pp. 107-110. ISSN 0370-2693

Dolan, Brian P. (1998) Renormalisation group flow and geodesics in the O(N) model for large N. Nuclear Physics B, 528 (3). pp. 553-576. ISSN 0550-3213

Dolan, Brian P. and Haugh, Kevin P. (1997) A covariant approach to Ashtekar's canonical gravity. Classical and Quantum Gravity, 14 (2). p. 477. ISSN 0264-9381

Dolan, Brian P. (1995) Chaotic behavior of renormalization flow in a complex magnetic field. Physical Review E, 52 (4). pp. 4512-4515. ISSN 1063-651X

Dolan, Brian P. (1994) A Geometrical Interpretation Of Renormalisation Group Flow. International Journal of Modern Physics A, 09 (08). pp. 1261-1286. ISSN 0217-751X

Dolan, Brian P. (1993) Quantum nondemolition of the Universe. Physical Review D, 48. pp. 3672-3676. ISSN 2470-0029

Dolan, Brian P. and Nash, Charles (1992) Zeta function continuation and the Casimir energy on odd- and even-dimensional spheres. Communications in Mathematical Physics, 148 (1). pp. 139-153. ISSN 1432-0916

Dolan, Brian P. (1991) Thermal spectra in the early Universe. Classical and Quantum Gravity, 8 (11). pp. 1955-1960. ISSN 0264-9381

Dolan, Brian P. (1990) BRST symmetry and quantum mechanics on homogeneous spaces. Journal of Physics A: Mathematical and General, 23 (20). pp. 4439-4453. ISSN 1751-8113

Dolan, Brian P. (1990) A hamiltonian formalism for bosonic membranes. Zeitschrift für Physik C : Particles and Fields, 46 (2). pp. 317-322. ISSN 1431-5858

Dolan, Brian P., Dunbar, D.C. and Henriques, A.B. (1988) Compactification on non-symmetric six dimensional coset spaces with torsion. Zeitschrift fur Physik C : Particles and Fields, 40 (2). pp. 259-272. ISSN 1431-5858

Dolan, Brian P. (1988) A group-theoretical approach to black-hole radiation. Il Nuovo Cimento B, 102 (6). pp. 649-659. ISSN 1826-9877

Dolan, Brian P. (1986) A geometrical interpretation of the time evolution of the Schrödinger equation for discrete quantum systems. Annales de l'Institut Henri Poincaré Physique théorique, 45 (3). pp. 257-275. ISSN 1879-2839

Dolan, Brian P. (1985) The Kahler 2-form in D=11 supergravity. Classical and Quantum Gravity, 2 (3). pp. 309-321. ISSN 0264-9381

Dolan, Brian P. (1985) An S2×S1 bundle over CP2-a solution of d=11 supergravity with isometry group (SU(3)/Z3)×U(2). Classical and Quantum Gravity, 2 (4). L91-L94. ISSN 0264-9381

Dolan, Brian P. (1985) Spinors on CP2 in d≥9 supergravity. Annales de l'Institut Henri Poincaré Physique théorique, 42 (4). pp. 375-382. ISSN 1879-2839

Dolan, Brian P. (1982) Quaternionic metrics and SU(2) Yang-Mills. Journal of Physics A: Mathematical and General, 15 (7). pp. 2191-2200. ISSN 0305-4470

Dolan, Brian P. (1981) A class of SU(2) instanton configurations in curved space-times. Journal of Physics A: Mathematical and General, 14 (5). pp. 1205-1210. ISSN 0305-4470

Book Section

Dolan, Brian P. (2012) Where is the PdV term in the first law of black hole thermodynamics? In: Open Questions in Cosmology. InTech. ISBN 978-953-51-0880-1

Dolan, Brian P. (2001) Quarks, symmetry and cold electrons. In: The Irish Scientist. Samton Limited, p. 137. ISBN 1898706182

Monograph

Dolan, Brian P. and Hunter-McCabe, Aonghus (2020) Ground state wave functions for the quantum Hall effect on a sphere and the Atiyah-Singer index theorem. Working Paper. arXiv.

Dolan, Brian P. (2015) The intrinsic curvature of thermodynamic potentials for black holes with critical points. Working Paper. ArXiv.

Dolan, Brian P. (2014) Black holes and Boyle’s law — the thermodynamics of the cosmological constant. Working Paper. arXiv.org.

O’Connor, Denjoe and Dolan, Brian P. (2013) Critical Behaviour of the Fuzzy sphere. Working Paper. National University of Ireland Maynooth.

Dolan, Brian P. (2013) The compressibility of rotating black holes in D-dimensions. Working Paper. Dublin Institute for Advanced Studies DIAS-STP-13-08.

Dolan, Brian P. and Szabo, Richard J. (2012) Solitons and Yukawa Couplings in Nearly Kähler Flux Compactifications. Working Paper. Dublin Institute for Advanced Studies DIAS–STP–12–05.

Dolan, Brian P., Kastor, David, Kubiznak, David, Mann, Robert B. and Traschen, Jennie (2012) Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes. Working Paper. Dublin Institute for Advanced Studies DIAS-STP-13-01.

Dolan, Brian P., O'Connor, Denjoe and Presnajder, Peter (2002) Matrix Models on the Fuzzy Sphere. Working Paper. arXiv.org.

Dolan, Brian P. (1998) The Modular and Renormalisation Groups in the Quantum Hall Effect. Working Paper. arXiv.org.

Dolan, Brian P. (1997) Geodesic renormalization group flow. Working Paper. arXiv.

Dolan, Brian P. (1995) Co-variant Derivatives And The Renormalisation Group Equation. Working Paper. arXiv.

Dolan, Brian P. (1995) Symplectic geometry and Hamiltonian flow of the renormalisation group equation. Working Paper. arXiv.

Dolan, Brian P. (1993) Potential Flow Of The Renormalisation Group In A Simple Two Component Model. Working Paper. arXiv.