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

I. L. Buchbinder, E. A. Ivanov, O. Lechtenfeld, I. B. Samsonov, B. M. Zupnik

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)759-797
    Number of pages39
    JournalPhysics of Particles and Nuclei
    Volume39
    Issue number5
    DOIs
    Publication statusPublished - 1 Sep 2008

    Fingerprint

    gauge theory
    harmonics
    symmetry
    chirality
    string theory
    preserving
    supersymmetry
    sectors
    energy

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Buchbinder, I. L., Ivanov, E. A., Lechtenfeld, O., Samsonov, I. B., & Zupnik, B. M. (2008). Gauge theory in deformed N = (1, 1) superspace. Physics of Particles and Nuclei, 39(5), 759-797. https://doi.org/10.1134/S1063779608050031

    Gauge theory in deformed N = (1, 1) superspace. / Buchbinder, I. L.; Ivanov, E. A.; Lechtenfeld, O.; Samsonov, I. B.; Zupnik, B. M.

    In: Physics of Particles and Nuclei, Vol. 39, No. 5, 01.09.2008, p. 759-797.

    Research output: Contribution to journalArticle

    Buchbinder, IL, Ivanov, EA, Lechtenfeld, O, Samsonov, IB & Zupnik, BM 2008, 'Gauge theory in deformed N = (1, 1) superspace', Physics of Particles and Nuclei, vol. 39, no. 5, pp. 759-797. https://doi.org/10.1134/S1063779608050031
    Buchbinder IL, Ivanov EA, Lechtenfeld O, Samsonov IB, Zupnik BM. Gauge theory in deformed N = (1, 1) superspace. Physics of Particles and Nuclei. 2008 Sep 1;39(5):759-797. https://doi.org/10.1134/S1063779608050031
    Buchbinder, I. L. ; Ivanov, E. A. ; Lechtenfeld, O. ; Samsonov, I. B. ; Zupnik, B. M. / Gauge theory in deformed N = (1, 1) superspace. In: Physics of Particles and Nuclei. 2008 ; Vol. 39, No. 5. pp. 759-797.
    @article{57e82d31feb34b19a102e636c11d6a81,
    title = "Gauge theory in deformed N = (1, 1) superspace",
    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.",
    author = "Buchbinder, {I. L.} and Ivanov, {E. A.} and O. Lechtenfeld and Samsonov, {I. B.} and Zupnik, {B. M.}",
    year = "2008",
    month = "9",
    day = "1",
    doi = "10.1134/S1063779608050031",
    language = "English",
    volume = "39",
    pages = "759--797",
    journal = "Physics of Particles and Nuclei",
    issn = "1063-7796",
    publisher = "Maik Nauka-Interperiodica Publishing",
    number = "5",

    }

    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.

    PY - 2008/9/1

    Y1 - 2008/9/1

    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

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

    U2 - 10.1134/S1063779608050031

    DO - 10.1134/S1063779608050031

    M3 - Article

    VL - 39

    SP - 759

    EP - 797

    JO - Physics of Particles and Nuclei

    JF - Physics of Particles and Nuclei

    SN - 1063-7796

    IS - 5

    ER -