Matrix theory, AdS/CFT, and gauge/gravity correspondence
type: Item
instance of: scholarly article
title: Matrix theory, AdS/CFT, and gauge/gravity correspondence
zbMATH Open document ID: 1328.81180
DOI: 10.1155/2013/604637
author: Shan Hu
author: D. V. Nanopoulos
published in: Advances in High Energy Physics
publication date: 2016-01-15T00:00:00Z
review text: Summary: With \(N\to\infty\) being fixed, \(R\to\infty\), the free energy of the Matrix theory on a supergravity background \(F\) is a functional of \(F, W=W(R,F)\). We try to relate this functional with \(S_{\mathrm{eff}}(R,F)\), the effective action of \(F\), where \(F\) is translation invariant along \(x^-\). The vertex function is then associated with the connected correlation function of the current densities. From \(W(R,F)\), one can construct an effective action \(\Gamma(Y)\) for the arbitrary matrix configuration \(Y\). \(\Gamma(Y)\) is \(R\) and thus \(p^+\) independent. If \(W(R,F)=S_{\mathrm{eff}}(R,F)\), \(\Gamma(Y)\) will give the supergravity interactions among \(M\) theory objects with no light-cone momentum exchange. We then discuss the Matrix theory dual of the \(11d\) background generated by branes with the definite \(p^+\) as well as the gauge theory dual of the \(10d\) background arising from the \(x^-\) reduction. Finally, for \(\text{SYM}_{4}\) with the \(4d\) background field \(F_0\), we give a possible way to induce the radial dependent \(5d\) field \(F(\sigma)\).
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 83E30
Mathematics Subject Classification ID: 83E50
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 6530698
Wikidata QID: Q58918295
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/604637
OpenAlex ID: W2036381523
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description: scientific article; zbMATH DE number 6530698