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arXiv · 0804.3349

M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions

Jongwook Kim·Nakwoo Kim·Jeong-Hyuck Park·Jan Plefka
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Abstract

We study a new class of inhomogeneous pp-wave solutions with 8 unbroken supersymmetries in D=11 supergravity. The 9 dimensional transverse space is Euclidean and split into 3 and 6 dimensional subspaces. The solutions have non-constant gauge flux, which are described in terms of an arbitrary holomorphic function of the complexified 6 dimensional space. The supermembrane and matrix theory descriptions are also provided and we identify the relevant supersymmetry transformation rules. The action also arises through a dimensional reduction of N=1, D=4 supersymmetric Yang-Mills theory coupled to 3 gauge adjoint and chiral multiplets, whose interactions are determined by the holomorphic function of the supergravity solution now constituting the superpotential.

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Jongwook Kim, Nakwoo Kim, Jeong-Hyuck Park, Jan Plefka. 2008-08-28. M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F089

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