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Paper detail

Noncommutative Geometry and Matrix Theory: Compactification on Tori

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.

preprint1998arXivOpen access
Alain ConnesMichael R. DouglasAlbert Schwarz
hep-th
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Alain ConnesMichael R. DouglasAlbert Schwarz

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