14–19 Jun 2010
Villasimius, Sardinia
Europe/Rome timezone

Supersymmetry non-renormalization theorem from a computer and the AdS/CFT correspondence

17 Jun 2010, 15:10
20m
Room6 (Villasimius, Sardinia)

Room6

Villasimius, Sardinia

Tanka Village
Theoretical developments Parallel 47: Theoretical developments

Speaker

Masazumi Honda (SOKENDAI,KEK)

Description

We perform Monte Carlo simulation of the plane-wave matrix model or the BMN matrix model, which has 16 supercharges. The model has many degenerate supersymmetric vacua, and by picking up a particular one, we can obtain 4d N = 4 super Yang-Mills theory on R*S^3 in the planar limit based on the idea of a novel large-N reduction. We study correlation functions of non-extremal operators, and find clear evidence that the supersymmetry non-renormalization theorem is at work for two-point and three-point functions for general backgrounds. This suggests that the theorem actually holds in a wide class of supersymmetric theories other than 4d N = 4 super Yang-Mills theory, in which it was already proven. For four-point functions, we observe small violation of the non-renormalization property, which is consistent with a result obtained from the AdS/CFT correspondence.
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Primary author

Masazumi Honda (SOKENDAI,KEK)

Co-authors

Prof. Asato Tsuchiya (Shizuoka University) Dr Goro Ishiki (CQUeST) Prof. Jun Nishimura (SOKENDAI,KEK) Dr Sang-Woo Kim (KEK)

Presentation materials