Emergent Super-Virasoro on Magnetic Branes

TL;DR

This paper computes two-point correlators in a supersymmetric magnetic brane background, revealing the emergence of an N=2 super-Virasoro algebra and other symmetries in the dual 2D field theory, advancing understanding of holographic dualities.

Contribution

It demonstrates the emergence of super-Virasoro and current algebras in the low-energy limit of a supersymmetric magnetic brane, providing new insights into holographic dualities.

Findings

Evidence for N=2 super-Virasoro algebra of right-movers

Presence of bosonic Virasoro and U(1) current algebras of left-movers

Correlators support emergent conformal symmetries in the dual field theory

Abstract

The low energy limit of the stress tensor, gauge current, and supercurrent two-point correlators are calculated in the background of the supersymmetric magnetic brane solution to gauged five-dimensional supergravity constructed by Almuhairi and Polchinski. The resulting correlators provide evidence for the emergence of an N=2 super-Virasoro algebra of right-movers, in addition to a bosonic Virasoro algebra and a $U(1) \oplus U(1)$-current algebra of left-movers (or the parity transform of left- and right-movers depending on the sign of the magnetic field), in the holographically dual strongly interacting two-dimensional effective field theory of the lowest Landau level.