DLCQ and Plane Wave Matrix Big Bang Models

Abstract

We study the generalisations of the Craps-Sethi-Verlinde matrix big bang model to curved, in particular plane wave, space-times, beginning with a careful discussion of the DLCQ procedure. Singular homogeneous plane waves are ideal toy-models of realistic space-time singularities since they have been shown to arise universally as their Penrose limits, and we emphasise the role played by the symmetries of these plane waves in implementing the flat space Seiberg-Sen DLCQ prescription for these curved backgrounds. We then analyse various aspects of the resulting matrix string Yang-Mills theories, such as the relation between strong coupling space-time singularities and world-sheet tachyonic mass terms. In order to have concrete examples at hand, in an appendix we determine and analyse the IIA singular homogeneous plane wave - null dilaton backgrounds.

29 pages, v2: reference added + minor cosmetic corrections

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Cited by in corpus (20)

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• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Multiple M2-Branes and Plane Waves
• Emergent Metric Space-Time from Matrix Theory
• String spectra near some null cosmological singularities
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Can free strings propagate across plane wave singularities?
• Domain Walls, Triples and Acceleration
• Null cosmological singularities and free strings: II
• Light-like Big Bang singularities in string and matrix theories
• Matrix Quantum Mechanics on $S^1/{\mathbb{Z}}_2$
• Null cosmological singularities and free strings
• p-branes on the waves
• Adiabaticity and emergence of classical space-time in time-dependent matrix theories
• The non-Abelian gauge theory of matrix big bangs
• Extended black holes in strong gravitational waves
• Aspects of Plane Wave (Matrix) String Dynamics
• Mass of nonrelativistic meson from leading twist distribution amplitudes
• Intersecting black branes in strong gravitational waves
• Tiny Graviton Matrix Theory On Time-Dependent Background