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@article{Catterall:2018:10.1103/PhysRevD.97.086020,
author = {Catterall, S and Jha, RG and Schaich, D and Wiseman, T},
doi = {10.1103/PhysRevD.97.086020},
journal = {Physical Review D},
title = {Testing holography using lattice super-Yang--Mills on a 2-torus},
url = {http://dx.doi.org/10.1103/PhysRevD.97.086020},
volume = {97},
year = {2018}
}

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TY  - JOUR
AB  - We consider maximally supersymmetric SU(N) Yang--Mills theory in Euclideansignature compactified on a flat two-dimensional torus with anti-periodic(`thermal') fermion boundary conditions imposed on one cycle. At large N,holography predicts that this theory describes certain black hole solutions inType IIA and IIB supergravity, and we use lattice gauge theory to test this.Unlike the one-dimensional quantum mechanics case where there is only thedimensionless temperature to vary, here we emphasize there are two moreparameters which determine the shape of the flat torus. While a rectangularEuclidean torus yields a thermal interpretation, allowing for skewed torimodifies the holographic dual black hole predictions and results in anotherdirection to test holography. Our lattice calculations are based on asupersymmetric formulation naturally adapted to a particular skewing. Usingthis we perform simulations up to N=16 with several lattice spacings for bothskewed and rectangular tori. We observe the two expected black hole phases withtheir predicted behavior, with a transition between them that is consistentwith the gravity prediction based on the Gregory--Laflamme transition.
AU  - Catterall,S
AU  - Jha,RG
AU  - Schaich,D
AU  - Wiseman,T
DO  - 10.1103/PhysRevD.97.086020
PY  - 2018///
SN  - 2470-0010
TI  - Testing holography using lattice super-Yang--Mills on a 2-torus
T2  - Physical Review D
UR  - http://dx.doi.org/10.1103/PhysRevD.97.086020
UR  - http://arxiv.org/abs/1709.07025v2
UR  - http://hdl.handle.net/10044/1/58872
VL  - 97
ER  -

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