Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background

Kim, Nakwoo; Lee, Kimyeong M.; Yi, Piljin

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Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background

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Kim, Nakwoo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Kim, N., Lee, K. M., & Yi, P. (2002). Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background. Journal of High Energy Physics, 2002(11): 009.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5386-A

Abstract

M(atrix) theory is known to be mass-deformed in the pp-wave background and still retains all 16 dynamical supersymmetries. We consider generalization of such deformations on super Yang-Mills quantum mechanics (SYQM) with less supersymmetry. In particular this includes ${cal N}=8$ $U(N)$ SYQM with a single adjoint and any number of fundamental hypermultiplets, which is a pp-wave deformation of DLCQ matrix theory of fivebranes. With $kge 1$ fivebranes, we show that a rich vacuum structure exists, with many continuous family of solutions that preserve all dynamical supersymmetries. The vacuum moduli space contains disjoint copies of $CP^{k-1}$ of various sizes