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

doi:10.1016/j.physletb.2005.08.003

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

Physics & Astronomy (Duluth)

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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-N_c 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 language	English (US)
Pages (from-to)	105-114
Number of pages	10
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	624
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2005.08.003
State	Published - 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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title = "Direct evidence for the Maldacena conjecture for N = (8, 8) super-Yang-Mills theory in 1 + 1 dimensions",

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.",

author = "Hiller, {John R.} and Stephen Pinsky and Nathan Salwen and Uwe Trittmann",

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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T1 - Direct evidence for the Maldacena conjecture for N = (8, 8) super-Yang-Mills theory in 1 + 1 dimensions

AU - Hiller, John R.

AU - Pinsky, Stephen

AU - Salwen, Nathan

AU - Trittmann, Uwe

N1 - 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.

PY - 2005/9/22

Y1 - 2005/9/22

N2 - 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.

AB - 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.

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EP - 114

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -

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

Abstract

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