N=4 super Yang-Mills matrix integrals for almost all simple gauge groups

Abstract

In this paper the partition function of N=4 D=0 super Yang-Mills matrix theory with arbitrary simple gauge group is discussed. We explicitly computed its value for all classical groups of rank up to 11 and for the exceptional groups G_2, F_4 and E_6. In the case of classical groups of arbitrary rank we conjecture general formulas for the B_r, C_r and D_r series in addition to the known result for the A_r series. Also, the relevant boundary term contributing to the Witten index of the corresponding supersymmetric quantum mechanics has been explicitly computed as a simple function of rank for the orthogonal and symplectic groups SO(2N+1), Sp(2N), SO(2N).

Latex2e, 21pp; v2: minor corrections, references added

References in corpus (4)

• Convergent Yang-Mills Matrix Theories
• Yang-Mills Matrix Theory
• On non-abelian low energy effective action for D-branes
• Renormalization of Boundary Fermions and World-Volume Potentials on D-branes

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