M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions
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.
Cite
@article{arxiv.0804.3349,
title = {M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions},
author = {Jongwook Kim and Nakwoo Kim and Jeong-Hyuck Park and Jan Plefka},
journal= {arXiv preprint arXiv:0804.3349},
year = {2014}
}
Comments
19 pages;v2 21p, added discussion and refs