Holographic complexity and noncommutative gauge theory
Abstract We study the holographic complexity of noncommutative field theories. The four-dimensional N = 4 $$ \mathcal{N}=4 $$ noncommutative super Yang-Mills theory with Moyal algebra along two of the spatial directions has a well known holographic dual as a type IIB supergravity theory with a stack...
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doaj-73784a2d576f40dea75e2f2dac2c840c2020-11-25T00:44:50ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018312710.1007/JHEP03(2018)108Holographic complexity and noncommutative gauge theoryJosiah Couch0Stefan Eccles1Willy Fischler2Ming-Lei Xiao3Theory Group, Department of Physics and Texas Cosmology Center, The University of Texas at AustinTheory Group, Department of Physics and Texas Cosmology Center, The University of Texas at AustinTheory Group, Department of Physics and Texas Cosmology Center, The University of Texas at AustinTheory Group, Department of Physics and Texas Cosmology Center, The University of Texas at AustinAbstract We study the holographic complexity of noncommutative field theories. The four-dimensional N = 4 $$ \mathcal{N}=4 $$ noncommutative super Yang-Mills theory with Moyal algebra along two of the spatial directions has a well known holographic dual as a type IIB supergravity theory with a stack of D3 branes and non-trivial NS-NS B fields. We start from this example and find that the late time holographic complexity growth rate, based on the “complexity equals action” conjecture, experiences an enhancement when the non-commutativity is turned on. This enhancement saturates a new limit which is exactly 1/4 larger than the commutative value. We then attempt to give a quantum mechanics explanation of the enhancement. Finite time behavior of the complexity growth rate is also studied. Inspired by the non-trivial result, we move on to more general setup in string theory where we have a stack of Dp branes and also turn on the B field. Multiple noncommutative directions are considered in higher p cases.http://link.springer.com/article/10.1007/JHEP03(2018)108AdS-CFT CorrespondenceGauge-gravity correspondence |
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language |
English |
format |
Article |
sources |
DOAJ |
author |
Josiah Couch Stefan Eccles Willy Fischler Ming-Lei Xiao |
spellingShingle |
Josiah Couch Stefan Eccles Willy Fischler Ming-Lei Xiao Holographic complexity and noncommutative gauge theory Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence |
author_facet |
Josiah Couch Stefan Eccles Willy Fischler Ming-Lei Xiao |
author_sort |
Josiah Couch |
title |
Holographic complexity and noncommutative gauge theory |
title_short |
Holographic complexity and noncommutative gauge theory |
title_full |
Holographic complexity and noncommutative gauge theory |
title_fullStr |
Holographic complexity and noncommutative gauge theory |
title_full_unstemmed |
Holographic complexity and noncommutative gauge theory |
title_sort |
holographic complexity and noncommutative gauge theory |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-03-01 |
description |
Abstract We study the holographic complexity of noncommutative field theories. The four-dimensional N = 4 $$ \mathcal{N}=4 $$ noncommutative super Yang-Mills theory with Moyal algebra along two of the spatial directions has a well known holographic dual as a type IIB supergravity theory with a stack of D3 branes and non-trivial NS-NS B fields. We start from this example and find that the late time holographic complexity growth rate, based on the “complexity equals action” conjecture, experiences an enhancement when the non-commutativity is turned on. This enhancement saturates a new limit which is exactly 1/4 larger than the commutative value. We then attempt to give a quantum mechanics explanation of the enhancement. Finite time behavior of the complexity growth rate is also studied. Inspired by the non-trivial result, we move on to more general setup in string theory where we have a stack of Dp branes and also turn on the B field. Multiple noncommutative directions are considered in higher p cases. |
topic |
AdS-CFT Correspondence Gauge-gravity correspondence |
url |
http://link.springer.com/article/10.1007/JHEP03(2018)108 |
work_keys_str_mv |
AT josiahcouch holographiccomplexityandnoncommutativegaugetheory AT stefaneccles holographiccomplexityandnoncommutativegaugetheory AT willyfischler holographiccomplexityandnoncommutativegaugetheory AT mingleixiao holographiccomplexityandnoncommutativegaugetheory |
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