AdS/CFT correspondence in operator formalism

Abstract In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge theory, is identical to the spectrum of the free gravitat...

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Main Author: Seiji Terashima
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2018)019
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author Seiji Terashima
author_facet Seiji Terashima
author_sort Seiji Terashima
collection DOAJ
description Abstract In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge theory, is identical to the spectrum of the free gravitational theory in the global AdS spacetime under some assumptions which are expected to be valid. Thus, two theories are equivalent for the low energy region under the assumptions. Using this equivalence, the bulk local field is constructed and the GKPW relation is derived.
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spelling doaj.art-4e0378ab234d4531a86afb0a8a5ade662022-12-22T00:43:06ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018212410.1007/JHEP02(2018)019AdS/CFT correspondence in operator formalismSeiji Terashima0Yukawa Institute for Theoretical Physics, Kyoto UniversityAbstract In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge theory, is identical to the spectrum of the free gravitational theory in the global AdS spacetime under some assumptions which are expected to be valid. Thus, two theories are equivalent for the low energy region under the assumptions. Using this equivalence, the bulk local field is constructed and the GKPW relation is derived.http://link.springer.com/article/10.1007/JHEP02(2018)019AdS-CFT Correspondence1/N ExpansionGauge-gravity correspondence
spellingShingle Seiji Terashima
AdS/CFT correspondence in operator formalism
Journal of High Energy Physics
AdS-CFT Correspondence
1/N Expansion
Gauge-gravity correspondence
title AdS/CFT correspondence in operator formalism
title_full AdS/CFT correspondence in operator formalism
title_fullStr AdS/CFT correspondence in operator formalism
title_full_unstemmed AdS/CFT correspondence in operator formalism
title_short AdS/CFT correspondence in operator formalism
title_sort ads cft correspondence in operator formalism
topic AdS-CFT Correspondence
1/N Expansion
Gauge-gravity correspondence
url http://link.springer.com/article/10.1007/JHEP02(2018)019
work_keys_str_mv AT seijiterashima adscftcorrespondenceinoperatorformalism