Abstract
We consider matrix theoretical description of transverse M5-branes in M-theory on the 11-dimensional maximally supersymmetric pp-wave background. We apply the localization to the plane wave matrix model (PWMM) and show that the transverse spherical fivebranes with zero light cone energy in M-theory are realized as the distribution of low energy moduli of the SO(6) scalar fields in PWMM.
Highlights
In this paper, we focus on M-theory defined on the maximally supersymmetric ppwave solution of the 11-dimensional supergravity and consider the description of certain M5-branes living in this geometry in terms of the matrix model
We apply the localization to the plane wave matrix model (PWMM) and show that the transverse spherical fivebranes with zero light cone energy in M-theory are realized as the distribution of low energy moduli of the SO(6) scalar fields in PWMM
We focus on M-theory defined on the maximally supersymmetric ppwave solution of the 11-dimensional supergravity and consider the description of certain M5-branes living in this geometry in terms of the matrix model
Summary
We review M-theory on the maximally supersymmetric plane wave background in the 11-dimensional supergravity. The background geometry is given by ds2 = gμν dxμdxν = −2dx+dx− + dxAdxA −. Where μ is the flux parameter of the three form field.. We will see that spherical M2-brane and M5-brane exist as the lowest energy states with respect to the light cone Hamiltonian. We refer the method in [7] for the calculation
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