Deformation of Super Yang-Mills Theories in R-R 3-form Background

Details Deformation of Super Yang-Mills Theories in R-R 3-form Background Deformation of Super Yang-Mills Theories in R-R 3-form Background

2007-05-24

arxiv.org/abs/0705.3532v3

JHEP 0707:068,2007

Physics

High Energy Physics

High Energy Physics - Theory

v2: reference added, v3: published version in JHEP

Scientific paper

10.1088/1126-6708/2007/07/068

We study deformation of N=2 and N=4 super Yang-Mills theories, which are obtained as the low-energy effective theories on the (fractional) D3-branes in the presence of constant Ramond-Ramond 3-form background. We calculate the Lagrangian at the second order in the deformation parameter from open string disk amplitudes. In N=4 case we find that all supersymmetries are broken for generic deformation parameter but part of supersymmetries are unbroken for special case. We also find that classical vacua admit fuzzy sphere configuration. In N=2 case we determine the deformed supersymmetries. We rewrite the deformed Lagrangians in terms of N=1 superspace, where the deformation is interpreted as that of coupling constants.

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