Twisted Bundle On Quantum Torus and BPS States in Matrix Theory

Details Twisted Bundle On Quantum Torus and BPS States in Matrix Theory Twisted Bundle On Quantum Torus and BPS States in Matrix Theory

1998-03-19

arxiv.org/abs/hep-th/9803166v2

Phys.Lett.B434:41-47,1998

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figure. minor modification made

Scientific paper

10.1016/S0370-2693(98)00740-0

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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