685 citations · 3.5k across the 67 of their papers we have counts for
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Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect
Brian P. Dolan
It is shown that the flow diagrams for the conductivities in the quantum Hall effect, arising from two ostensibly very different proposals based on modular symmetry, are in fact id…
The cosmological constant and the black hole equation of state
Brian P. Dolan
The thermodynamics of black holes in various dimensions are described in the presence of a negative cosmological constant which is treated as a thermodynamic variable, interpreted…
AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments
Allan Bayntun, C. P. Burgess, Brian P. Dolan +1
Transitions among quantum Hall plateaux share a suite of remarkable experimental features, such as semi-circle laws and duality relations, whose accuracy and robustness are difficu…
Modular symmetry and temperature flow of conductivities in quantum Hall systems with varying Zeeman energy
Brian P. Dolan
The behaviour of the critical point between quantum Hall plateaux, as the Zeeman energy is varied, is analysed using modular symmetry of the Hall conductivities following from the…
Equivariant Dimensional Reduction and Quiver Gauge Theories
Brian P. Dolan, Richard J. Szabo
We review recent applications of equivariant dimensional reduction techniques to the construction of Yang-Mills-Higgs-Dirac theories with dynamical mass generation and exactly mass…