Ooguri, Hirosi and Vafa, Cumrun (2003) The Cdeformation of gluino and nonplanar diagrams. Advances in Theoretical and Mathematical Physics, 7 (1). pp. 5385. ISSN 10950761. http://resolver.caltech.edu/CaltechAUTHORS:OOGatmp03a

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Abstract
We consider a deformation of N = 1 supersymmetric gauge theories in four dimensions, which we call the Cdeformation, where the gluino field satisfies a Cliffordlike algebra dictated by a selfdual twoform, instead of the standard Grassmannian algebra. The superpotential of the deformed gauge theory is computed by the full partition function of an associated matrix model (or more generally a bosonic gauge theory), including nonplanar diagrams. In this identification, the strength of the twoform controls the genus expansion of the matrix model partition function. For the case of pure N = 1 YangMills this deformation leads to the identification of the all genus partition function of c noncritical bosonic string at selfdual radius as the glueball superpotential. Though the Cdeformation violates Lorentz invariance, the deformed Fterms are Lorentz invariant and the Lorentz violation is screened in the IR.
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Additional Information:  © 2006 International Press of Boston. We are grateful to N. Berkovits for valuable discussion about the covariant quantization of superstring. We would also like to thank R. Dijkgraaf, M. Grisaru, S. Minwalla, Y. Okawa, J. Schwarz, P. van Nieuwenhuizen, N. Warner, E. Witten, and S.T. Yau for useful discussions. H.O. thanks the theory group at Harvard University for the hospitality. C.V. thanks the hospitality of the theory group at Caltech, where he is a Gordon Moore Distinguished Scholar. The research of H.O. was supported in part by DOE grant DEFG0392ER40701. The research of C.V. was supported in part by NSF grants PHY9802709 and DMS0074329. eprint archive: http://lanl.arXiv.org/abs/hepth/0302109. Date (v1): Fri, 14 Feb 2003; Date (revised v2): Thu, 27 Feb 2003. Technical report nos.: CALT682428; HUTP03/A014 Euclid Identifier: euclid.atmp/1112627974 Mathmatical Reviews number (MathSciNet): MR2014958 
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