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

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

2008-04-21

arxiv.org/abs/0804.3349v2

JHEP0808:089,2008

Physics

High Energy Physics

High Energy Physics - Theory

19 pages;v2 21p, added discussion and refs

Scientific paper

10.1088/1126-6708/2008/08/089

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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