TY - JOUR

T1 - Gauge theory in deformed N = (1, 1) superspace

AU - Buchbinder, I. L.

AU - Ivanov, E. A.

AU - Lechtenfeld, O.

AU - Samsonov, I. B.

AU - Zupnik, B. M.

N1 - Funding Information: ACKNOWLEDGMENTS The present work is supported particularly by the following grants: RFBR project no. 06-02-04012; DFG project no. 436 RUS 113/669/0-3; INTAS project no. 05-1000008-7928. E.A.I. and B.M.Z. acknowledge partial support from a RFBR grant, project no. 06-02-16684, and a grant of the Heisenberg–Landau program. I.L.B. and I.B.S. acknowledge partial support from a RFBR grant, project no. 06-02-16346, and a grant of the President of the Russian Federation for leading scientific schools, project no. 4489.2006.2. The work of I.B.S. is also supported by a grant of the President of the Russian Federation for young scientists, project no. 7110.2006.2, and an INTAS grant, project no. 06-1000016-6108. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2008/9

Y1 - 2008/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=53849085204&partnerID=8YFLogxK

U2 - 10.1134/S1063779608050031

DO - 10.1134/S1063779608050031

M3 - Article

AN - SCOPUS:53849085204

VL - 39

SP - 759

EP - 797

JO - Physics of particles and nuclei

JF - Physics of particles and nuclei

SN - 1063-7796

IS - 5

ER -