Instanton Corrections for m and Omega

Abstract

In this paper, we study instanton corrections in the N=2* gauge theory by using its description in string theory as a freely-acting orbifold. The latter is used to compute, using the worldsheet, the deformation of the Yang-Mills action. In addition, we calculate the deformed instanton partition function, thus extending the results to the non-perturbative sector of the gauge theory. As we point out, the structure of the deformation is extremely similar to the Omega-deformation, therefore confirming the universality of the construction. Finally, we comment on the realisation of the mass deformation using physical vertex operators by exploiting the equivalence between Scherk-Schwarz deformations and freely-acting orbifolds.

References in corpus (7)

• Modular anomaly equations in N=2* theories and their large-N limit
• S-duality and the prepotential in N=2* theories (II): the non-simply laced algebras
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• Probing the Moduli Dependence of Refined Topological Amplitudes
• S-duality and the prepotential in N=2* theories (I): the ADE algebras
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Cited by in corpus (2)

• A string realisation of $\Omega$-deformed Abelian $\mathcal{N}=2^{\ast }$ theory
• $\Omega$ versus Graviphoton