Aspects of ALE Matrix Models and Twisted Matrix Strings

Abstract

We examine several aspects of the formulation of M(atrix)-Theory on ALE spaces. We argue for the existence of massless vector multiplets in the resolved $A_{n-1}$ spaces, as required by enhanced gauge symmetry in M-Theory, and that these states might have the correct gravitational interactions. We propose a matrix model which describes M-Theory on an ALE space in the presence of wrapped membranes. We also consider orbifold descriptions of matrix string theories, as well as more exotic orbifolds of these models, and present a classification of twisted matrix string theories according to Reid's exact sequences of surface quotient singularities.

27 pages LaTeX2e, 7 figures, using utarticle.cls (included), array.sty, amsmath.sty, amsfonts.sty, cite.sty, epsf.sty. Bibtex style: utphys.bst (.bbl file included). Section on wrapped membrane states revised and expanded. We now argue for the existence of wrapped membranes and propose a matrix model which describes M-Theory on an ALE space in the presence of wrapped membranes

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Cited by in corpus (12)

• Discrete Torsion, AdS/CFT and duality
• Towards a Noncommutative Geometric Approach to Matrix Compactification
• String Theory on AdS Orbifolds
• Intersecting brane solutions in string and M-theory
• Noncommutative Solitons on Orbifolds
• Orbifolds and Flows from Gauged Supergravity
• General covariance of the non-abelian DBI-action
• D-branes on Singularities: New Quivers from Old
• Matrix Theory on ALE Spaces and Wrapped Membranes
• D-particles on T^4/Z_n orbifolds and their resolutions
• Aspects of ABJM orbifolds
• Lie Groups, Calabi-Yau Threefolds, and F-Theory