Direct evidence for the Maldacena conjecture for N = (8, 8) super-Yang-Mills theory in 1 + 1 dimensions

John R. Hiller, Stephen Pinsky, Nathan Salwen, Uwe Trittmann

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Abstract

We solve N = (8, 8) super-Yang-Mills theory in 1 + 1 dimensions at strong coupling to directly confirm the predictions of supergravity at weak coupling. We do our calculations in the large-Nc approximation using Supersymmetric Discrete Light-Cone Quantization with up to 3 × 10 12 basis states. We calculate the stress-energy correlator 〈T++(r)T++(0)〉 as a function of the separation r and find that at intermediate values of r the correlator behaves as r -5 to within errors as predicted by weak-coupling supergravity. We also present an extension to significantly higher resolution of our earlier results for the same correlator in the N = (2, 2) theory and see that in this theory the correlator has very different behavior at intermediate values of r.

Original languageEnglish (US)
Pages (from-to)105-114
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume624
Issue number1-2
DOIs
StatePublished - Sep 22 2005

Bibliographical note

Funding Information:
This work was supported in part by the US Department of Energy and the Minnesota Supercomputing Institute. One of the authors (U.T.) would like to thank the Research Corporation for supporting his work.

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