On the Transverse M5-Branes in Matrix Theory

Asano, Yuhma and Ishiki, Goro and Shimasaki, Shinji and Terashima, Seiji (2017) On the Transverse M5-Branes in Matrix Theory. (Unpublished)

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It has been a long-standing problem how the transverse M5-branes are described in the matrix-model formulations of M-theory. 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 SO(6) scalars in PWMM become mutually commuting in the strong coupling region, we show that the eigenvalue density of the SO(6) scalars in PWMM exactly agrees with the shape of the spherical M5-branes in the decoupling limit. This result gives a 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.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:49
Last Modified: 12 Jul 2018 09:19
URI: http://dair.dias.ie/id/eprint/547

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