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Title: Testing holography using lattice super-Yang-Mills theory on a 2-torus

Abstract

We consider maximally supersymmetric SU (N) Yang-Mills theory in Euclidean signature compactified on a flat two-dimensional torus with antiperiodic (“thermal”) fermion boundary conditions imposed on one cycle. At large N , holography predicts that this theory describes certain black hole solutions in type IIA and IIB supergravity, and we use lattice gauge theory to test this. Unlike the one-dimensional quantum mechanics case where there is only the dimensionless temperature to vary, here we emphasize there are two more parameters which determine the shape of the flat torus. While a rectangular Euclidean torus yields a thermal interpretation, allowing for skewed tori modifies the holographic dual black hole predictions and results in another direction to test holography. Our lattice calculations are based on a supersymmetric formulation naturally adapted to a particular skewing. Using this we perform simulations up to N = 16 with several lattice spacings for both skewed and rectangular tori. We observe the two expected black hole phases with their predicted behavior, with a transition between them that is consistent with the gravity prediction based on the Gregory-Laflamme transition.

Authors:
; ; ;
Publication Date:
Research Org.:
Syracuse Univ., NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1435383
Alternate Identifier(s):
OSTI ID: 1501515
Grant/Contract Number:  
SC0008669; SC0009998
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 8; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Catterall, Simon, Jha, Raghav G., Schaich, David, and Wiseman, Toby. Testing holography using lattice super-Yang-Mills theory on a 2-torus. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.086020.
Catterall, Simon, Jha, Raghav G., Schaich, David, & Wiseman, Toby. Testing holography using lattice super-Yang-Mills theory on a 2-torus. United States. doi:10.1103/PhysRevD.97.086020.
Catterall, Simon, Jha, Raghav G., Schaich, David, and Wiseman, Toby. Mon . "Testing holography using lattice super-Yang-Mills theory on a 2-torus". United States. doi:10.1103/PhysRevD.97.086020.
@article{osti_1435383,
title = {Testing holography using lattice super-Yang-Mills theory on a 2-torus},
author = {Catterall, Simon and Jha, Raghav G. and Schaich, David and Wiseman, Toby},
abstractNote = {We consider maximally supersymmetric SU (N) Yang-Mills theory in Euclidean signature compactified on a flat two-dimensional torus with antiperiodic (“thermal”) fermion boundary conditions imposed on one cycle. At large N , holography predicts that this theory describes certain black hole solutions in type IIA and IIB supergravity, and we use lattice gauge theory to test this. Unlike the one-dimensional quantum mechanics case where there is only the dimensionless temperature to vary, here we emphasize there are two more parameters which determine the shape of the flat torus. While a rectangular Euclidean torus yields a thermal interpretation, allowing for skewed tori modifies the holographic dual black hole predictions and results in another direction to test holography. Our lattice calculations are based on a supersymmetric formulation naturally adapted to a particular skewing. Using this we perform simulations up to N = 16 with several lattice spacings for both skewed and rectangular tori. We observe the two expected black hole phases with their predicted behavior, with a transition between them that is consistent with the gravity prediction based on the Gregory-Laflamme transition.},
doi = {10.1103/PhysRevD.97.086020},
journal = {Physical Review D},
number = 8,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.086020

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Cited by: 7 works
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