Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
نویسنده
چکیده
We consider field theory on non-commutative superspace and non-commutative spacetime that arises on D-branes in Type II superstring theory in constant self-dual graviphoton and NS-NS B field background. N = 1 supersymmetric field theories on this noncommutative space ( these theories are called N = 1/2 supersymmetric theory ) can be reduced to supermatrix models as in hep-th/0303210 [1]. We take an appropriate commutative limit in these theories and show that holomorphic quantities in commutative field theories are equivalent to reduced models, including non-planar diagrams to which the graviphoton contributes. This is a new derivation of Dijkgraaf-Vafa theory including non-planar diagrams. ∗e-mail address : [email protected]
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