Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
arXiv:hep-th/0403259 · doi:10.1016/j.physletb.2005.10.027
Abstract
We consider the field theory on non-commutative superspace and non-commutative spacetime that arises on D-branes in Type II superstring theory with a constant self-dual graviphoton and NS-NS field background. supersymmetric field theories on this non-commutative space (such theories are called supersymmetric theories.) can be reduced to supermatrix models as in hep-th/0303210 \cite{KKM}. 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.
15 pages, 1 figure, the version to appear in Phys. Lett. B
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