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Journal of High Energy Physics

, 2011:20 | Cite as

Direct test of the gauge-gravity correspondence for Matrix theory correlation functions

  • Masanori HanadaEmail author
  • Jun Nishimura
  • Yasuhiro Sekino
  • Tamiaki Yoneya
Article
First Online:

Abstract

We study correlation functions in (0 + 1)-dimensional maximally supersym-metric U(N ) Yang-Mills theory, which was proposed by Banks et al. as a non-perturbative definition of 11-dimensional M-theory in the infinite-momentum frame. We perform first-principle calculations using Monte Carlo simulations, and compare the results against the predictions obtained previously based on the gauge-gravity correspondence from 10 dimensions. After providing a self-contained review on these predictions, we present clear evidence that the predictions in the large-N limit actually hold even at small N such as N =2 and 3. The predicted behavior seems to continue to the far infrared regime, which goes beyond the naive range of validity of the 10D supergravity analysis. This suggests that the correlation functions also contain important information on the M-theory limit.

Keywords

Gauge-gravity correspondence M(atrix) Theories Nonperturbative Effects 
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Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  • Masanori Hanada
    • 1
    Email author
  • Jun Nishimura
    • 2
    • 3
  • Yasuhiro Sekino
    • 2
  • Tamiaki Yoneya
    • 4
    • 5
  1. 1.Department of PhysicsUniversity of WashingtonSeattleU.S.A.
  2. 2.KEK Theory CenterHigh Energy Accelerator Research Organization (KEK)TsukubaJapan
  3. 3.Department of Particle and Nuclear Physics, School of High Energy Accelerator ScienceGraduate University for Advanced Studies (SOKENDAI)TsukubaJapan
  4. 4.School of Graduate StudiesThe Open University of JapanMihama-kuJapan
  5. 5.Institute of PhysicsUniversity of TokyoKomabaJapan

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