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Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory

Takeshi Morita
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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 $B$ field background. $\N=1$ supersymmetric field theories on this non-commutative space (such theories are called $\N=1/2$ 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.

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Takeshi Morita. 2005-10-27. Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory. https://doi.org/10.1016/j.physletb.2005.10.027

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