Topological Matrix Model

Abstract

Starting from the primal principle based on the noncommutative nature of (9+1)-dimensional spacetime, we construct a topologically twisted version of the supersymmetric reduced model with a certain modification. Our formulation automatically provides extra 1+1 dimensions, thereby the dimensions of spacetime are promoted to 10+2. With a suitable gauge choice, we can reduce the model with (10+2)-dimensional spacetime to the one with (9+1)-dimensions and thus we regard this gauge as the light-cone gauge. It is suggested that the model so obtained would describe the light-cone F-theory. From this viewpoint we argue the relation of the reduced model to the matrix model of M-theory and the SL(2,Z) symmetry of type IIB string theory. We also discuss the general covariance of the matrix model in a broken phase, and make some comments on the background independence.

18 pages, LaTeX, no figures, minor corrections and modifications, references added

References in corpus (9)

• A Large-N Reduced Model as Superstring
• Matrix String Theory
• Proposals on nonperturbative superstring interactions
• Interactions of type IIB D-branes from D-instanton matrix model
• Schild Action and Space-Time Uncertainty Principle in String Theory
• Towards a Non-perturbative Formulation of IIB Superstrings by Matrix Models
• Self-Duality in D <= 8-dimensional Euclidean Gravity
• Supersymmetric Wilson Loops in IIB Matrix Model
• Monads, Strings, and M Theory

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• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
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• Supermatrix Models
• USp(2k) Matrix Model: Nonperturbative Approach to Orientifolds
• Short-Distance Space-Time Structure and Black Holes in String Theory : A Short Review of the Present Status
• World Volume Noncommutativity versus Target Space Noncommutativity
• Matrix models and the gravitational interaction
• Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
• Remarks on Covariant Matrix Strings
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
• Noncommutativities of D-branes and $\theta$-changing Degrees of Freedom in D-brane Matrix Models
• Little IIB Matrix Model
• Reduced Chern-Simons Quiver Theories and Cohomological 3-Algebra Models
• Partition Functions of Reduced Matrix Models with Classical Gauge Groups
• A Lattice Formulation of Two Dimensional Topological Field Theory
• Proposal of a topological M(atrix) theory