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The C-deformation of gluino and non-planar diagrams

Ooguri, Hirosi and Vafa, Cumrun (2003) The C-deformation of gluino and non-planar diagrams. Advances in Theoretical and Mathematical Physics, 7 (1). pp. 53-85. ISSN 1095-0761.

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We consider a deformation of N = 1 supersymmetric gauge theories in four dimensions, which we call the C-deformation, where the gluino field satisfies a Clifford-like algebra dictated by a self-dual two-form, 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 non-planar diagrams. In this identification, the strength of the two-form controls the genus expansion of the matrix model partition function. For the case of pure N = 1 Yang-Mills this deformation leads to the identification of the all genus partition function of c non-critical bosonic string at self-dual radius as the glueball superpotential. Though the C-deformation violates Lorentz invariance, the deformed F-terms are Lorentz invariant and the Lorentz violation is screened in the IR.

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Ooguri, Hirosi0000-0001-6021-3778
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 DE-FG03-92-ER40701. The research of C.V. was supported in part by NSF grants PHY-9802709 and DMS-0074329. e-print archive: Date (v1): Fri, 14 Feb 2003; Date (revised v2): Thu, 27 Feb 2003. Technical report nos.: CALT-68-2428; HUTP-03/A014 Euclid Identifier: euclid.atmp/1112627974 Mathmatical Reviews number (MathSciNet): MR2014958
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Gordon and Betty Moore FoundationUNSPECIFIED
Department of Energy (DOE)DE-FG03-92-ER40701
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Deposited On:17 Oct 2006
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