http://cds.cern.ch/record/262851/files/9405029.pdf

Supersymmetry and quantum mechanics

Topological charge changing transitions can induce chirality in the quark-gluon plasma by the axial anomaly. We study the equilibrium response of the quark-gluon plasma in such a situation to an external magnetic field. To mimic the effect of the topological charge changing transitions we will introduce a chiral chemical potential. We will show that an electromagnetic current is generated along the magnetic field. This is the chiral magnetic effect. We compute the magnitude of this current as a function of magnetic field, chirality, temperature, and baryon chemical potential.

Chiral magnetic effect

String Theory Beyond the Planck Scale

Conformal Field Theory and 2D Quantum Gravity

Lower dimensional gravity

Multiloop amplitudes for the bosonic Polyakov string

Determinants of Laplacians on tensors and spinors of arbitrary weights on compact hyperbolic Riemann surfaces are computed in terms of values of Selberg zeta functions at half integer points.

/pdf/on-determinants-of-laplacians-on-riemann-surfaces-11mtpemgrn.pdf

On determinants of Laplacians on Riemann surfaces

We construct asymptotically AdS5 solutions to 5-dimensional Einstein-Maxwell theory with Chern-Simons term which are dual to 4-dimensional gauge theories, including $$\mathcal{N} = 4 $$
 SYM theory, in the presence of a constant background magnetic field B and a uniform electric charge density ρ. For the solutions corresponding to supersymmetric gauge theories, we find numerically that a small magnetic field causes a drastic decrease in the entropy at low temperatures. The near-horizon AdS2 × R
 3 geometry of the purely electrically charged brane thus appears to be unstable under the addition of a small magnetic field. Based on this observation, we propose a formulation of the third law of thermodynamics (or Nernst theorem) that can be applied to black holes in the AdS/CFT context. We also find interesting behavior for smaller, non-supersymmetric, values of the Chern-Simons coupling k. For k = 1 we exhibit exact solutions corresponding to warped AdS3 black holes, and show that these can be connected to asymptotically AdS5 spacetime. For k ≤ 1 the entropy appears to go to a finite value at extremality, but the solutions still exhibit a mild singularity at strictly zero temperature. In addition to our numerics, we carry out a complete perturbative analysis valid to order B
 2, and find that this corroborates our numerical results insofar as they overlap.

/pdf/charged-magnetic-brane-solutions-in-ads5-and-the-fate-of-the-328k95me0z.pdf

Eric D'Hoker

Papers

Multiloop amplitudes for the bosonic Polyakov string

On determinants of Laplacians on Riemann surfaces

Charged magnetic brane solutions in AdS5 and the fate of the third law of thermodynamics

Decoupling a fermion whose mass is generated by a Yukawa coupling: The general case☆

Supersymmetry of the Pauli equation in the presence of a magnetic monopole