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arXiv · hep-th/9803166

Twisted Bundle On Quantum Torus and BPS States in Matrix Theory

Pei-Ming Ho
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Abstract

Following the recent work of Connes, Douglas and Schwarz, we study the M(atrix) model compactified on a torus with a background of the three-form field. This model is given by a super Yang-Mills theory on a quantum torus. To consider twisted gauge field configurations, we construct twisted U(n) bundles on the quantum torus as a deformation of its classical counterpart. By properly taking into account membranes winding around the light-cone direction, we derive from the M(atrix) model the BPS spectrum which respects the full SL(2,Z)*SL(2,Z) U-duality in M theory.

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Pei-Ming Ho. 1998-03-26. Twisted Bundle On Quantum Torus and BPS States in Matrix Theory. https://doi.org/10.1016/s0370-2693(98)00740-0

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