Kahler Potential and Higher Derivative Terms from M Theory Fivebrane

Details Kahler Potential and Higher Derivative Terms from M Theory Fivebrane Kahler Potential and Higher Derivative Terms from M Theory Fivebrane

1997-11-19

arxiv.org/abs/hep-th/9711143v1

Nucl.Phys.B518:173-211,1998

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 44 pages, two figures

Scientific paper

10.1016/S0550-3213(98)00152-7

The construction of four dimensional supersymmetric gauge theories via the fivebrane of M theory wrapped around a Riemann surface has been successfully applied to the computation of holomorphic quantities of field theory. In this paper we compute non-holomorphic quantities in the eleven dimensional supergravity limit of M theory. While the Kahler potential on the Coulomb of N=2 theories is correctly reproduced, higher derivative terms in the N=2 effective action differ from what is expected for the four dimensional gauge theory. For the Kahler potential of N=1 theories at an abelian Coulomb phase, the result again differs from what is expected for the four-dimensional gauge theory. Using a gravitational back reaction method for the fivebrane we compute the metric on the Higgs branch of N=2 gauge theories. Here we find an agreement with the results expected for the gauge theories. A similar computation of the metric on N=1 Higgs branches yields information on the complex structure associated with the flavor rotation in one case and the classical metric in another. We discuss what four-dimensional field theory quantities can be computed via the fivebrane in the supergravity limit of M theory.

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