The Super-potential and Holomorphic properties of the MQCD

Details The Super-potential and Holomorphic properties of the MQCD The Super-potential and Holomorphic properties of the MQCD

1998-01-07

arxiv.org/abs/hep-th/9801032v2

Nucl.Phys. B526 (1998) 432-442

Physics

High Energy Physics

High Energy Physics - Theory

14pages, latex, typos corrected

Scientific paper

10.1016/S0550-3213(98)00268-5

We study the holomorphic properties of the MQCD by comparing the super-potentials in MQCD and the gauge theory. First we show that the super-potential defined as an integral of three form is NOT appropriate for generic situation with quarks. We report a resolution of the problem which works for the brane configurations of 90 degree rotation, including the true SQCD. The new definition does not need auxiliary surface and can be reduced to a contour integral for some cases. We find relation beetween the new and old definitions, which is verified by explicit calculation for SU(N), SO(N), Sp(N) simple groups with $F$ of massive quarks.

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