Matone's Relation in the Presence of Gravitational Couplings
By R. Flume, F. Fucito, J. F. Morales, R. Poghossian. 2004
148 citations recorded by the source corpus.
The prepotential in N = 2 SUSY Yang-Mills theories enjoys remarkable properties. One of the most interesting is its relation to the coordinate on the quantum moduli space u = tr 2 that results into recursion equations for the coefficients of the prepotential due to instantons. In this work we show, with an explicit multi-instanton computation, that this relation holds true at arbitrary winding numbers. Even more interestingly we show that its validity extends to the case in which gravitational corrections are taken into account if the correlators are suitably modified. These results apply also to the cases in which matter in the fundamental and in the adjoint is included. We also check that the expressions we find satisfy the chiral ring relations for the gauge case and compute the first gravitational correction.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2df2cf472942872d65b860716be507dafa8f3112
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
Citations in the corpus
- Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops (2007, unknown): “Instanton corrections to the operator exp(βΦ) in the N = 2 equivariant theory on R(4) for a given asymptotic of Φ at infinity were computed in [5, 79, 82, 83].”
- Hitchin systems, N = 2 gauge theories and W-gravity (2009, methodology): “The insertion of this operator, in the presence of the Ωbackground, has been computed in [22, 13, 14] and shown to cor respond to the derivative of the Nekrasov partition function with respect to the correspond ing complex gauge coupling.”