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Emergent Symmetries in AdS/CFT

Abstract

In this dissertation, 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 $\cN=2$ 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.

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