Three-dimensional super-Yang-Mills theory on the lattice and dual black branes

Simon Catterall, Joel Giedt, Raghav G. Jha, David Schaich, Toby Wiseman

Research output: Contribution to journalArticlepeer-review

Abstract

In the large-N and strong-coupling limit, maximally supersymmetric SU(N) Yang-Mills theory in (2+1) dimensions is conjectured to be dual to the decoupling limit of a stack of N D2-branes, which may be described by IIA supergravity. We study this conjecture in the Euclidean setting using nonperturbative lattice gauge theory calculations. Our supersymmetric lattice construction naturally puts the theory on a skewed Euclidean 3-torus. Taking one cycle to have antiperiodic fermion boundary conditions, the large-torus limit is described by certain Euclidean black holes. We compute the bosonic action - the variation of the partition function - and compare our numerical results to the supergravity prediction as the size of the torus is changed, keeping its shape fixed. Our lattice calculations primarily utilize N=8 with extrapolations to the continuum limit, and our results are consistent with the expected gravity behavior in the appropriate large-torus limit.

Original languageEnglish (US)
Article number106009
JournalPhysical Review D
Volume102
Issue number10
DOIs
StatePublished - Nov 9 2020

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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