Noncommutative Geometry and Matrix Theory: Compactification on Tori
نویسندگان
چکیده
We study toroidal compactification of Matrix theory, using ideas and results of noncommutative 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.
منابع مشابه
Matrix Theory on Noncommutative Torus
We consider the compactification of Matrix theory on tori with background anti-symmetric tensor field. Douglas and Hull have recently discussed how noncommutative geometry appears on the tori. In this paper, we demonstrate the concrete construction of this compactification of Matrix theory in a similar way to that previously given by Taylor.
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تاریخ انتشار 1997