Chiral anomalies and AdS/CMT in two dimensions
Kristan Jensen
TL;DR
This paper clarifies the holographic description of finite-density systems in two dimensions, emphasizing the role of chiral anomalies in determining correlators and analyzing specific models for condensed matter relevance.
Contribution
It provides a detailed clarification of the holographic duals of 2d finite-density systems, highlighting the impact of chiral anomalies and analyzing specific models like D3/D3 and charged BTZ black holes.
Findings
Chiral anomalies fully determine correlators in 2d CFTs.
Certain models like D3/D3 and charged BTZ are exceptions due to gauge couplings.
Insights into potential condensed matter applications of these holographic systems.
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.
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