Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-04-22
Phys.Lett. B445 (1998) 142-149
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LaTex, no figures; error in the form of the final dimension six operator corrected, some references and comments add
Scientific paper
10.1016/S0370-2693(98)01450-6
Recently, a relation between N=4 Super Yang Mills in 3+1 dimensions and supergravity in an $AdS_5$ 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.
Das Sumit R.
Trivedi Sandip P.
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