Gauge theory in deformed N=(1,1) superspace

Details Gauge theory in deformed N=(1,1) superspace Gauge theory in deformed N=(1,1) superspace

2007-09-24

arxiv.org/abs/0709.3770v2

Phys.Part.Nucl.39:759-797,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+60 pages, typos corrected, references added

Scientific paper

10.1134/S1063779608050031

We review the non-anticommutative Q-deformations of N=(1,1) supersymmetric theories in four-dimensional Euclidean harmonic superspace. These deformations preserve chirality and harmonic Grassmann analyticity. The associated field theories arise as a low-energy limit of string theory in specific backgrounds and generalize the Moyal-deformed supersymmetric field theories. A characteristic feature of the Q-deformed theories is the half-breaking of supersymmetry in the chiral sector of the Euclidean superspace. Our main focus is on the chiral singlet Q-deformation, which is distinguished by preserving the SO(4) Spin(4) ``Lorentz'' symmetry and the SU(2) R-symmetry. We present the superfield and component structures of the deformed N=(1,0) supersymmetric gauge theory as well as of hypermultiplets coupled to a gauge superfield: invariant actions, deformed transformation rules, and so on. We discuss quantum aspects of these models and prove their renormalizability in the abelian case. For the charged hypermultiplet in an abelian gauge superfield background we construct the deformed holomorphic effective action.

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