Chiral anomalies and AdS/CMT in two dimensions
arXiv:1012.4831 · doi:10.1007/JHEP01(2011)109
Abstract
I clarify some recent confusion regarding the holographic description of finite-density systems in two dimensions. Notably, the chiral anomaly for symmetry currents in 2d conformal field theories (CFT) completely determines their correlators. The important exception is a CFT with a gauge theory to which we may couple an external current, as in the probe D3/D3 system or the putative dual to the charged BTZ black hole. These systems are analyzed with an eye for potential condensed matter applications.
1+25 pages
References in corpus (11)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Building an AdS/CFT superconductor
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Boundary Conditions and Dualities: Vector Fields in AdS/CFT
- Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
- Zero Sound from Holography
- Gravity Dual of a Quantum Hall Plateau Transition
- Microscopic entropy of the charged BTZ black hole
- Generating Charge from Diffeomorphisms