Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
Volume
2011
Pagination
20 - ?
Publisher
DOI
10.1007/jhep12(2011)020
Journal
Journal of High Energy Physics
Issue
ISSN
1126-6708
Metadata
Show full item recordAbstract
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.
Authors
Hanada, M; Nishimura, J; Sekino, Y; Yoneya, TCollections
- Mathematics [1686]