USp(2k) Matrix Model: Nonperturbative Approach to Orientifolds

Abstract

We discuss theoretical implications of the large k USp(2k) matrix model in zero dimension. The model appears as the matrix model of type IIB superstrings on a large $T^6/Z^2$ orientifold via the matrix twist operation. In the small volume limit, the model behaves four dimensional and its T dual is six-dimensional worldvolume theory of type I superstrings in ten spacetime dimensions. Several theoretical considerations including the analysis on planar diagrams, the commutativity of the projectors with supersymmetries and the cancellation of gauge anomalies are given, providing us with the rationales for the choice of the Lie algebra and the field content. A few classical solutions are constructed which correspond to Dirichlet p-branes and some fluctuations are evaluated. The particular scaling limit with matrix T duality transformation is discussed which derives the F theory compactification on an elliptic fibered K3.

LaTeX, 29 pages, 3 figures. PostScript problems are fixed

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• Orbifold Matrix Model
• Nonabelian Monopoles from Matrices: Seeds of the Spacetime Structure
• D-instantons probing D3-branes and the AdS/CFT correspondence
• Nonabelian Berry Phase, Yang-Mills Instanton and USp(2k) Matrix Model
• Probability of the Standard Model Appearance from a Matrix Model
• Berry's Connection and USp(2k) Matrix Model
• Black Hole and Fuzzy Objects in BFSS Matrix Model
• Probability distribution over some phenomenological models in the matrix model compactified on a torus
• Matrix Orientifolding and Models with Four or Eight Supercharges
• Supersymmetric Matrix model on Z-orbifold
• Note on a Closed String Field Theory from Bosonic IIB Matrix Model
• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions
• Partition Functions of Reduced Matrix Models with Classical Gauge Groups
• Creation of D9-brane--anti-D9-brane Pairs from Hagedorn Transition of Closed Strings