685 citations · 3.5k across the 67 of their papers we have counts for
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Exceptional fuzzy spaces and octonions
Denjoe O'Connor, Brian P. Dolan
We construct the fuzzy spaces based on the three non-trivial co-adjoint orbits of the exceptional simple Lie group, .
Constrained Dynamics in the Hamiltonian formalism
Brian P. Dolan
These are pedagogical notes on the Hamiltonian formulation of constrained dynamical systems. All the examples are finite dimensional, field theories are not covered, and the notes…
Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
Brian P. Dolan
The temperature dependence of quantum Hall conductivities is studied in the context of the AdS/CMT paradigm using a model with a bulk theory consisting of (3+1)-dimensional Einstei…
On the group generated by , and : , with applications to pseudo-scalar mesons
Brian P. Dolan
We study faithful representations of the discrete Lorentz symmetry operations of parity and time reversal , which involve complex phases when acting on fermi…
A renormalisation group equation for transport co-efficients in (2+1)-dimensions derived from the AdS/CMT correspondence
Brian P. Dolan
Within the framework of the AdS/CMT correspondence asymptotically anti-de Sitter black holes in four space-time dimensions can be used to analyse transport properties in two space…
Ground state wave functions for the quantum Hall effect on a sphere and the Atiyah-Singer index theorem
Brian P. Dolan, Aonghus Hunter-McCabe
The quantum Hall effect is studied in a spherical geometry using the Dirac operator for non-interacting fermions in a background magnetic field, which is supplied by a Wu-Yang magn…