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arXiv · hep-th/9711162

Noncommutative Geometry and Matrix Theory: Compactification on Tori

Alain Connes·Michael R. Douglas·Albert Schwarz
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Abstract

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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Alain Connes, Michael R. Douglas, Albert Schwarz. 1998-02-13. Noncommutative Geometry and Matrix Theory: Compactification on Tori. https://doi.org/10.1088/1126-6708%2F1998%2F02%2F003

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