Gauge theory in deformed $$
\mathcal{N}
$$ = (1, 1) superspace |
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Authors: | I L Buchbinder E A Ivanov O Lechtenfeld I B Samsonov B M Zupnik |
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Institution: | 1.Dept. of Chemistry and Physics,University of North Carolina,Pembroke,USA;2.Dept. of Theoretical Physics,Tomsk State Pedagogical University,Tomsk,Russia;3.Bogoliubov Laboratory of Theoretical Physics,Joint Institute for Nuclear Research,Dubna, Moscow oblast,Russia;4.Institut für Theoretische Physik,Leibniz Universit?t Hannover,Hannover,Germany;5.Laboratory of Mathematical Physics,Tomsk Polytechnic University,Tomsk,Russia |
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Abstract: | We review the non-anticommutative Q-deformations of = (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 = (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.
The text was submitted by the authors in English. |
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Keywords: | |
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