The worldsheet dual of free super Yang-Mills in 4D

Abstract The worldsheet string theory dual to free 4d N $$ \mathcal{N} $$ = 4 super Yang-Mills theory was recently proposed in [1]. It is described by a free field sigma model on the twistor space of AdS5 × S5, and is a direct generalisation of the corresponding model for tensionless string theory o...

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Autores principales:	Matthias R. Gaberdiel, Rajesh Gopakumar
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Higher Spin Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/bb93ed14c1e44bfb9c8bd57740004da4
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spelling	oai:doaj.org-article:bb93ed14c1e44bfb9c8bd57740004da42021-11-21T12:41:43ZThe worldsheet dual of free super Yang-Mills in 4D10.1007/JHEP11(2021)1291029-8479https://doaj.org/article/bb93ed14c1e44bfb9c8bd57740004da42021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)129https://doaj.org/toc/1029-8479Abstract The worldsheet string theory dual to free 4d N $$ \mathcal{N} $$ = 4 super Yang-Mills theory was recently proposed in [1]. It is described by a free field sigma model on the twistor space of AdS5 × S5, and is a direct generalisation of the corresponding model for tensionless string theory on AdS3 × S3. As in the case of AdS3, the worldsheet theory contains spectrally flowed representations. We proposed in [1] that in each such sector only a finite set of generalised zero modes (‘wedge modes’) are physical. Here we show that after imposing the appropriate residual gauge conditions, this worldsheet description reproduces precisely the spectrum of the planar gauge theory. Specifically, the states in the sector with w units of spectral flow match with single trace operators built out of w super Yang-Mills fields (‘letters’). The resulting physical picture is a covariant version of the BMN light-cone string, now with a finite number of twistorial string bit constituents of an essentially topological worldsheet.Matthias R. GaberdielRajesh GopakumarSpringerOpenarticleAdS-CFT CorrespondenceHigher Spin SymmetryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-46 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Higher Spin Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Higher Spin Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Matthias R. Gaberdiel Rajesh Gopakumar The worldsheet dual of free super Yang-Mills in 4D
description	Abstract The worldsheet string theory dual to free 4d N $$ \mathcal{N} $$ = 4 super Yang-Mills theory was recently proposed in [1]. It is described by a free field sigma model on the twistor space of AdS5 × S5, and is a direct generalisation of the corresponding model for tensionless string theory on AdS3 × S3. As in the case of AdS3, the worldsheet theory contains spectrally flowed representations. We proposed in [1] that in each such sector only a finite set of generalised zero modes (‘wedge modes’) are physical. Here we show that after imposing the appropriate residual gauge conditions, this worldsheet description reproduces precisely the spectrum of the planar gauge theory. Specifically, the states in the sector with w units of spectral flow match with single trace operators built out of w super Yang-Mills fields (‘letters’). The resulting physical picture is a covariant version of the BMN light-cone string, now with a finite number of twistorial string bit constituents of an essentially topological worldsheet.
format	article
author	Matthias R. Gaberdiel Rajesh Gopakumar
author_facet	Matthias R. Gaberdiel Rajesh Gopakumar
author_sort	Matthias R. Gaberdiel
title	The worldsheet dual of free super Yang-Mills in 4D
title_short	The worldsheet dual of free super Yang-Mills in 4D
title_full	The worldsheet dual of free super Yang-Mills in 4D
title_fullStr	The worldsheet dual of free super Yang-Mills in 4D
title_full_unstemmed	The worldsheet dual of free super Yang-Mills in 4D
title_sort	worldsheet dual of free super yang-mills in 4d
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/bb93ed14c1e44bfb9c8bd57740004da4
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The worldsheet dual of free super Yang-Mills in 4D

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