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Spherical transverse M5-branes in matrix theory

Yuhma Asano1, Goro Ishiki2,3, Shinji Shimasaki4, and Seiji Terashima5

  • 1School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland
  • 2Center for Integrated Research in Fundamental Science and Engineering (CiRfSE), University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
  • 3Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
  • 4Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan
  • 5Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

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Phys. Rev. D 96, 126003 – Published 7 December, 2017

DOI: https://doi.org/10.1103/PhysRevD.96.126003

Abstract

How the transverse M5-branes are described in the matrix-model formulations of M-theory has been a long-standing problem. We consider this problem for M-theory on the maximally supersymmetric pp-wave geometry, which admits transverse spherical M5-branes with zero light-cone energy. By using the localization, we directly analyze the strong coupling region of the corresponding matrix theory called the plane wave matrix model (PWMM). Under the assumption that the low-energy modes of the scalar fields in PWMM become mutually commuting in the strong coupling region, we show that the eigenvalue density of the SO(6) scalars in the low-energy region exactly agrees with the shape of the spherical M5-branes in the decoupling limit. This result gives strong evidence that the transverse M5-branes are indeed contained in the matrix theory and the theory realizes a second quantization of the M-theory.

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References (18)

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  11. Note that we are interested in the case in which lp and μ are fixed.

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Phys. Rev. D 96, 126003– Published 7 December, 2017
  • Received 9 May 2017

© 2017 American Physical Society

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