The SU(N) Matrix Model at Two Loops

Details The SU(N) Matrix Model at Two Loops The SU(N) Matrix Model at Two Loops

2005-07-06

arxiv.org/abs/hep-th/0507048v2

JHEP 0509 (2005) 075

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 figure; v2 - typos corrected, references updated

Scientific paper

10.1088/1126-6708/2005/09/075

Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with N-graviton scattering amplitudes in eleven-dimensional supergravity requires the calculation of the effective action for the matrix model with gauge group SU(N). A framework for carrying out such calculations at two loops is established in this paper. The two-loop effective action is explicitly computed for a background corresponding to the scattering of a single D0-brane from a stack of N-1 D0-branes, and the results are shown to agree with known results in the case N=2.

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