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Noncommutative Geometry and Matrix Theory: Compactification on Tori

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arxiv hep-th/9711162 v2 pith:YFXROMNL submitted 1997-11-20 hep-th

Alain Connes , Michael R. Douglas , Albert Schwarz This is my paper · ORCID
classification hep-th
keywords matrixtheorycompactificationgeometrynoncommutativetoriarguebackground
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 8 Pith papers

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