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Current correlators in the Coulomb branch of Script N = 4 SYM

Brandhuber, Andreas and Sfetos, Konstadinos (2000) Current correlators in the Coulomb branch of Script N = 4 SYM. Journal of High Energy Physics, 2000 (12). Art. no. 014. ISSN 1126-6708. doi:10.1088/1126-6708/2000/12/014.

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We study correlators of Script R-symmetry currents in the Coulomb branch of Script N = 4 supersymmetric gauge theory in the large-N limit, using the AdS/CFT correspondence. In particular, we consider gauge fields in the presence of gravity and scalar fields parameterizing the coset SL(6,Bbb R)/SO(6) in the context of five-dimensional gauged supergravity. From a ten-dimensional point of view these backgrounds correspond to continuous D3-brane distributions. We find the surprising result that all 2-point functions of gauge currents fall into the same universality class, irrespectively of whether they correspond to broken or unbroken symmetries. We show that the problem of finding the spectrum can be mapped into an equivalent Schrödinger problem for supersymmetric quantum mechanics. The corresponding potential is the supersymmetric partner of the potential arising in studies of the spectrum for massless scalars and transverse graviton fluctuations in these backgrounds and the associated spectra are also identical. We discuss in detail two examples where these computations can be done explicitly as in the conformal case.

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Additional Information:Received 18 October 2000, accepted for publication 18 December 2000, Published 16 January 2001. A.B. would like to thank Y. Oz, J. Sonnenschein and S. Yankielowicz for discussions, and the universities of Tel-Aviv, Neuch^atel and Ludwig-Maximilians in Munich for hospitality and financial support. K.S. would like to thank the Theory Division at CERN for hospitality and financial support during a considerable part of this research. The research of K.S. was supported by the European Union under contracts TMR-ERBFMRX-CT96-0045 and -0090, by the Swiss Office for Education and Science, by the Swiss National Foundation and by the contract HPRN-CT-2000-00122. E-print number: hep-th/0010048
Subject Keywords:AdS-CFT Correspondence, Supergravity Models
Issue or Number:12
Record Number:CaltechAUTHORS:BRAjhep00
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1254
Deposited By: Archive Administrator
Deposited On:06 Jan 2006
Last Modified:08 Nov 2021 19:08

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