Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory

Details Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory

2004-05-06

arxiv.org/abs/hep-th/0405049v3

Nucl.Phys. B704 (2005) 154-180

Physics

High Energy Physics

High Energy Physics - Theory

1+25 pages; v2: corrected eqs.(2.7),(3.12),(4.31-33) and typos; v3: corrected eqs.(3.29),(4.7),(A.5),(A.21), ref. added, publi

Scientific paper

10.1016/j.nuclphysb.2004.10.038

We study the SO(4)x SU(2) invariant Q-deformation of Euclidean N=(1,1) gauge theories in the harmonic superspace formulation. This deformation preserves chirality and Grassmann harmonic analyticity but breaks N=(1,1) to N=(1,0) supersymmetry. The action of the deformed gauge theory is an integral over the chiral superspace, and only the purely chiral part of the covariant superfield strength contributes to it. We give the component form of the N=(1,0) supersymmetric action for the gauge groups U(1) and U(n>1). In the U(1) and U(2) cases, we find the explicit nonlinear field redefinition (Seiberg-Witten map) relating the deformed N=(1,1) gauge multiplet to the undeformed one. This map exists in the general U(n) case as well, and we use this fact to argue that the deformed U(n) gauge theory can be nonlinearly reduced to a theory with the gauge group SU(n).

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