Three brane action and the correspondence between N = 4 Yang Mills theory and anti-de Sitter space

Sumit R. Das; Sandip P. Trivedi

doi:10.1016/S0370-2693(98)01450-6

Three brane action and the correspondence between N = 4 Yang Mills theory and anti-de Sitter space

Sumit R. Das, Sandip P. Trivedi

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Abstract

Recently, a relation between N = 4 Super Yang Mills in 3 + 1 dimensions and supergravity in an AdS₅ background has been proposed. In this paper we explore the idea that the correspondence between operators in the Yang Mills theory and modes of the supergravity theory can be obtained by using the D3 brane action. Specifically, we consider two form gauge fields for this purpose. The supergravity analysis predicts that the operator which corresponds to this mode has dimension six. We show that this is indeed the leading operator in the three brane Dirac-Born-Infeld and Wess-Zumino action which couples to this mode. It is important in the analysis that the brane action is expanded around the anti-de Sitter background. Also, the Wess-Zumino term plays a crucial role in cancelling a lower dimension operator which appears in the the Dirac-Born-Infeld action.

Original language	English
Pages (from-to)	142-149
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	445
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(98)01450-6
State	Published - Dec 31 1998

Bibliographical note

Funding Information:
We would like to thank Joe Lykken for comments and especially Samir Mathur for sharing his insights and numerous discussions. S.R.D. would like to thank Center for Theoretical Physics, MIT and Physics Department of Stanford University for hospitality during the course of this work. The research of S.T. is supported by the Fermi National Accelerator Laboratory, which is operated by Universities Research Association, Inc., under contract no. DE-AC02-76CHO3000. Note added

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0370-2693(98)01450-6

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title = "Three brane action and the correspondence between N = 4 Yang Mills theory and anti-de Sitter space",

abstract = "Recently, a relation between N = 4 Super Yang Mills in 3 + 1 dimensions and supergravity in an AdS5 background has been proposed. In this paper we explore the idea that the correspondence between operators in the Yang Mills theory and modes of the supergravity theory can be obtained by using the D3 brane action. Specifically, we consider two form gauge fields for this purpose. The supergravity analysis predicts that the operator which corresponds to this mode has dimension six. We show that this is indeed the leading operator in the three brane Dirac-Born-Infeld and Wess-Zumino action which couples to this mode. It is important in the analysis that the brane action is expanded around the anti-de Sitter background. Also, the Wess-Zumino term plays a crucial role in cancelling a lower dimension operator which appears in the the Dirac-Born-Infeld action.",

author = "Das, {Sumit R.} and Trivedi, {Sandip P.}",

note = "Funding Information: We would like to thank Joe Lykken for comments and especially Samir Mathur for sharing his insights and numerous discussions. S.R.D. would like to thank Center for Theoretical Physics, MIT and Physics Department of Stanford University for hospitality during the course of this work. The research of S.T. is supported by the Fermi National Accelerator Laboratory, which is operated by Universities Research Association, Inc., under contract no. DE-AC02-76CHO3000. Note added ",

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N2 - Recently, a relation between N = 4 Super Yang Mills in 3 + 1 dimensions and supergravity in an AdS5 background has been proposed. In this paper we explore the idea that the correspondence between operators in the Yang Mills theory and modes of the supergravity theory can be obtained by using the D3 brane action. Specifically, we consider two form gauge fields for this purpose. The supergravity analysis predicts that the operator which corresponds to this mode has dimension six. We show that this is indeed the leading operator in the three brane Dirac-Born-Infeld and Wess-Zumino action which couples to this mode. It is important in the analysis that the brane action is expanded around the anti-de Sitter background. Also, the Wess-Zumino term plays a crucial role in cancelling a lower dimension operator which appears in the the Dirac-Born-Infeld action.

AB - Recently, a relation between N = 4 Super Yang Mills in 3 + 1 dimensions and supergravity in an AdS5 background has been proposed. In this paper we explore the idea that the correspondence between operators in the Yang Mills theory and modes of the supergravity theory can be obtained by using the D3 brane action. Specifically, we consider two form gauge fields for this purpose. The supergravity analysis predicts that the operator which corresponds to this mode has dimension six. We show that this is indeed the leading operator in the three brane Dirac-Born-Infeld and Wess-Zumino action which couples to this mode. It is important in the analysis that the brane action is expanded around the anti-de Sitter background. Also, the Wess-Zumino term plays a crucial role in cancelling a lower dimension operator which appears in the the Dirac-Born-Infeld action.

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Three brane action and the correspondence between N = 4 Yang Mills theory and anti-de Sitter space

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