Matrix Model in a Class of Time Dependent Supersymmetric Backgrounds
Hong-Zhi Chen, Bin Chen
TL;DR
This paper develops a matrix model for 11-dimensional time-dependent supersymmetric backgrounds, providing an exact action and exploring fuzzy sphere solutions, advancing understanding of non-static supergravity configurations.
Contribution
It constructs an exact matrix model action in a class of time-dependent supersymmetric backgrounds and analyzes fuzzy sphere solutions within this framework.
Findings
Matrix model action is exact to all orders of fermionic coordinates.
Fuzzy sphere solutions are identified in the background.
Provides a new approach to studying time-dependent supersymmetric backgrounds.
Abstract
We discuss the matrix model in a class of 11D time dependent supersymmetric backgrounds as obtained in hep-th/0508191 . We construct the matrix model action through the matrix regularization of the membrane action in the background. We show that the action is exact to all order of fermionic coordinates. Furthermore We discuss the fuzzy sphere solutions in this background.
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