Details
| Original language | English |
|---|---|
| Pages (from-to) | 759-797 |
| Number of pages | 39 |
| Journal | Physics of particles and nuclei |
| Volume | 39 |
| Issue number | 5 |
| Publication status | Published - Sept 2008 |
Abstract
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics of particles and nuclei, Vol. 39, No. 5, 09.2008, p. 759-797.
Research output: Contribution to journal › Article › Research › peer review
}
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 -