Noncommutative geometry and Matrix theory
نویسندگان
چکیده
منابع مشابه
Orientifolds of Matrix theory and Noncommutative Geometry
We study explicit solutions for orientifolds of Matrix theory compactified on noncommutative torus. As quotients of torus, cylinder, Klein bottle and Möbius strip are applicable as orientifolds. We calculate the solutions using Connes, Douglas and Schwarz’s projective module solution, and investigate twisted gauge bundle on quotient spaces as well. They are Yang-Mills theory on noncommutative t...
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Compacti cation of Matrix Model on a Noncommutative torus is obtained from strings ending on D-branes with background B eld. The BPS spectrum of the system and a novel SL(2; Z) symmetry are discussed. Noncommutativity of space-time coordinates emerged in string theory recently in the context of coincident Dbranes [1]; in fact the embedding coordinates of D-branes turned out to be noncommutative...
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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 form...
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Noncommutative geometry is a modern field of mathematics begun by Alain Connes in the early 1980s. It provides powerful tools to treat spaces that are essentially of a quantum nature. Unlike the case of ordinary spaces, their algebraof coordinates is noncommutative, reflecting phenomena like the Heisenberg uncertainty principle in quantum mechanics. What is especially interesting is the fact th...
متن کاملNoncommutative geometry and number theory
In almost every branch of mathematics we use the ring of rational integers, yet in looking beyond the formal structure of this ring we often encounter great gaps in our understanding. The need to find new insights into the ring of integers is, in particular, brought home to us by our inability to decide the validity of the classical Riemann hypothesis, which can be thought of as a question on t...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 1998
ISSN: 1029-8479
DOI: 10.1088/1126-6708/1998/02/003