On the transverse M5-branes in matrix theory

Abstract

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 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 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.

arXiv comment4 pages, v2: A major revision was made in the interpretation but the conclusion is essentially unchanged

References in corpus (13)

• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Branes from Matrices
• Transverse Fivebranes in Matrix Theory
• M-Theory and the Light Cone
• Longitudinal 5-branes as 4-spheres in Matrix theory
• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Fuzzy 5-spheres and pp-wave Matrix Actions
• Emergent bubbling geometries in the plane wave matrix model
• Emergent bubbling geometries in gauge theories with SU(2|4) symmetry
• On the Phase Structure of Commuting Matrix Models

Cited by in corpus (9)

• To gauge or not to gauge?
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Toward simulating Superstring/M-theory on a quantum computer
• Information metric, Berry connection and Berezin-Toeplitz quantization for matrix geometry
• Matrix Entanglement
• Witten index of BMN matrix quantum mechanics
• Emergent Geometries from the BMN Matrix Model
• On the existence of the NS5-brane limit of the plane wave matrix model
• On matrix description of D-branes