Coset construction of a D-brane gauge field

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    2 Citations (Scopus)

    Abstract

    © 2016 The Author. D-branes have a world-volume U(1) gauge field A whose field strength F=dA gives rise to a Born-Infeld term in the D-brane action. Supersymmetry and kappa symmetry transformations of A are traditionally inferred by the requirement that the Born-Infeld term is consistent with both supersymmetry and kappa symmetry of the D-brane action. In this paper, we show that integrability of the assigned supersymmetry transformations leads to an extension of the standard supersymmetry algebra that includes a fermionic central charge. We construct a superspace one-form on an enlarged superspace related by a coset construction to this centrally extended algebra whose supersymmetry and kappa symmetry transformations are derived, rather than inferred. It is shown that under pullback, these transformations are of the form expected for the D-brane U(1) gauge field. We relate these results to manifestly supersymmetric approaches to construction of D-brane actions.
    Original languageEnglish
    Pages (from-to)231-241
    JournalNuclear Physics B
    Volume905
    DOIs
    Publication statusPublished - 2016

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    title = "Coset construction of a D-brane gauge field",
    abstract = "{\circledC} 2016 The Author. D-branes have a world-volume U(1) gauge field A whose field strength F=dA gives rise to a Born-Infeld term in the D-brane action. Supersymmetry and kappa symmetry transformations of A are traditionally inferred by the requirement that the Born-Infeld term is consistent with both supersymmetry and kappa symmetry of the D-brane action. In this paper, we show that integrability of the assigned supersymmetry transformations leads to an extension of the standard supersymmetry algebra that includes a fermionic central charge. We construct a superspace one-form on an enlarged superspace related by a coset construction to this centrally extended algebra whose supersymmetry and kappa symmetry transformations are derived, rather than inferred. It is shown that under pullback, these transformations are of the form expected for the D-brane U(1) gauge field. We relate these results to manifestly supersymmetric approaches to construction of D-brane actions.",
    author = "Ian Mcarthur",
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    Coset construction of a D-brane gauge field. / Mcarthur, Ian.

    In: Nuclear Physics B, Vol. 905, 2016, p. 231-241.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Coset construction of a D-brane gauge field

    AU - Mcarthur, Ian

    PY - 2016

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    N2 - © 2016 The Author. D-branes have a world-volume U(1) gauge field A whose field strength F=dA gives rise to a Born-Infeld term in the D-brane action. Supersymmetry and kappa symmetry transformations of A are traditionally inferred by the requirement that the Born-Infeld term is consistent with both supersymmetry and kappa symmetry of the D-brane action. In this paper, we show that integrability of the assigned supersymmetry transformations leads to an extension of the standard supersymmetry algebra that includes a fermionic central charge. We construct a superspace one-form on an enlarged superspace related by a coset construction to this centrally extended algebra whose supersymmetry and kappa symmetry transformations are derived, rather than inferred. It is shown that under pullback, these transformations are of the form expected for the D-brane U(1) gauge field. We relate these results to manifestly supersymmetric approaches to construction of D-brane actions.

    AB - © 2016 The Author. D-branes have a world-volume U(1) gauge field A whose field strength F=dA gives rise to a Born-Infeld term in the D-brane action. Supersymmetry and kappa symmetry transformations of A are traditionally inferred by the requirement that the Born-Infeld term is consistent with both supersymmetry and kappa symmetry of the D-brane action. In this paper, we show that integrability of the assigned supersymmetry transformations leads to an extension of the standard supersymmetry algebra that includes a fermionic central charge. We construct a superspace one-form on an enlarged superspace related by a coset construction to this centrally extended algebra whose supersymmetry and kappa symmetry transformations are derived, rather than inferred. It is shown that under pullback, these transformations are of the form expected for the D-brane U(1) gauge field. We relate these results to manifestly supersymmetric approaches to construction of D-brane actions.

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    DO - 10.1016/j.nuclphysb.2016.02.015

    M3 - Article

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    SP - 231

    EP - 241

    JO - Nuclear Physics B

    JF - Nuclear Physics B

    SN - 0550-3213

    ER -