The C-deformation of gluino and non-planar diagrams

By Hirosi Ooguri, C. Vafa. 2003

241 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b465fc49589d293c45726a3d85d70a6315cb1d04

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In Nuclear and High Energy Physics

1. Marcos Mariño
2. E. Witten
3. Min-xin Huang
4. J. Maldacena
5. A. Klemm
6. N. Seiberg
7. N. Berkovits
8. Y. Nakayama

In Statistical and Nonlinear Physics

1. J. Maldacena
2. Marcos Mariño
3. Min-xin Huang
4. A. Klemm
5. E. Witten
6. N. Berkovits
7. N. Seiberg
8. D. Harlow

Citations in the corpus

• Noncommutative superspace, Script N = 1/2 supersymmetry, field theory and string theory (2003, background): “has been explored by many people (for a partial list, see [3-16]).”
• Holomorphic anomaly in gauge theories and matrix models (2006, background): “After breaking of N = 2 to N = 1 by fluxes the topological string amplitudes F (Si) occur in the following two terms of the N = 1 action [41, 42, 43] Γ1 = g ∫”
• Superstrings in graviphoton background and N=1/2+3/2 supersymmetry (2003, methodology): “ar X iv :h ep -t h/ 03 06 22 6v 2 3 0 Ju n 20 03 hep-th/0306226 Superstrings in Graviphoton Background and N = 1 2 + 3 2 Supersymmetry Nathan Berkovits Instituto de F́ısica Teórica, Universidade Estadual Paulista R. Pamplona 145, São Paulo, SP 01405-900 BRASIL Nathan Seiberg School of Natural…”
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection (2008, background): “metry parameters. In this case, the resulting T-dualized background of (2.43) involves the self-dual graviphoton field-strength of [ 28 ,29,30] which leads to non-anti-commutative N=1 d=4 super-Yang-Mills on a D3 brane.”