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arXiv · 0811.3322

Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory

Katsushi Ito·Hiroaki Nakajima·Shin Sasaki
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Abstract

We study the ADHM construction of instantons in N=2 supersymmetric Yang-Mills theory deformed in constant Ramond-Ramond (R-R) 3-form field strength background in type IIB superstrings. We compare the deformed instanton effective action with the effective action of fractional D3/D(-1) branes at the orbifold singularity of C^2/Z_2 in the same R-R background. We find discrepancy between them at the second order in deformation parameters, which comes from the coupling of the translational zero modes of the D(-1)-branes to the R-R background. We improve the deformed action by adding a term with space-time dependent gauge coupling. Although the space-time action differs from the action in the omega-background, both actions lead to the same instanton equations of motion at the lowest order in gauge coupling.

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Katsushi Ito, Hiroaki Nakajima, Shin Sasaki. 2008-12-30. Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory. https://doi.org/10.1088/1126-6708%2F2008%2F12%2F113

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