Discrete Flux as Quantum Hair
Atish Dabholkar, Sandip P. Trivedi

TL;DR
This paper explores how discrete electric and magnetic fluxes in Yang-Mills theory on a torus at finite temperature can be understood as quantum hair for black holes, using AdS/CFT correspondence and supergravity calculations.
Contribution
It provides a novel analysis of discrete fluxes as quantum hair in the context of AdS/CFT, linking gauge theory fluxes to black hole properties.
Findings
Partition function dependence on fluxes calculated via supergravity.
Discrete fluxes interpreted as quantum hair for AdS black holes.
Insights into gauge theory and gravity duality with flux considerations.
Abstract
We investigate Yang-Mills theory on a spatial torus at finite temperature in the presence of discrete electric and magnetic fluxes using the AdS/CFT correspondence. We calculate the leading dependence of the partition function on the fluxes using the dual supergravity theory and comment upon the interpretation of these fluxes as discrete quantum hair for black holes in AdS spacetime.
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