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Witten's Star Asa Continuous Moyal Product

Posted on:2004-08-27Degree:MasterType:Thesis
Country:ChinaCandidate:X H WangFull Text:PDF
GTID:2120360092998717Subject:Theoretical Physics
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String theory and noncommutative geometry are modern ideas in physics. In 1986, Witten had set up an elegant string field theory by introduce a new, beautiful approch to interactions. He had developed a new mathematical framework in terms of non-commutative differential geometry. Witten's star is noncommutative and associative. Also, we had known another noncummutative star, Moyal product, which was defined in phase space. Recently, in his stimulating paper Bars found a map of Witten's star to Mayol's star. This motivated us to study the explicit relations between Witten's star and Moyal product. In this paper, we recast the matter part of the open superstring star in the present of a constant B field. By using a different coordinate representation the matter part of the open superstring star is identified with the continuous Mayal product of functions of anti-commuting variables. Fortunately we find it does not depend on the value of the B field. In addition, by using conformal field theory techniques the NS matter butterfly state is given.
Keywords/Search Tags:noncommutative geometry, B field, Moyal product, Witten's star, cubic string theory
PDF Full Text Request
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