Noncommutative Geometry and Matrix Theory: Compactification on Tori

Details Noncommutative Geometry and Matrix Theory: Compactification on Tori Noncommutative Geometry and Matrix Theory: Compactification on Tori

1997-11-20

arxiv.org/abs/hep-th/9711162v2

JHEP 9802:003,1998

Physics

High Energy Physics

High Energy Physics - Theory

harvmac, 41 pp. A slightly simpler BPS mass formula is proposed

Scientific paper

10.1088/1126-6708/1998/02/003

We study toroidal compactification of Matrix theory, using ideas and results of non-commutative geometry. We generalize this to compactification on the noncommutative torus, explain the classification of these backgrounds, and argue that they correspond in supergravity to tori with constant background three-form tensor field. The paper includes an introduction for mathematicians to the IKKT formulation of Matrix theory and its relation to the BFSS Matrix theory.

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