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

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

2004-03-25

arxiv.org/abs/hep-th/0403259v6

Phys.Lett. B632 (2006) 411-416

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 1 figure, the version to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2005.10.027

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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