Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world

S. L. Dubovsky, S. M. Sibiryakov

    Research output: Contribution to journalArticle

    Abstract

    Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the Nth vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the "mirror world" idea, and speculate on some phenomenological consequences of this scenario.

    Original languageEnglish (US)
    Pages (from-to)91-110
    Number of pages20
    JournalNuclear Physics, Section B
    Volume691
    Issue number1-2
    DOIs
    StatePublished - Jul 19 2004

    Fingerprint

    domain wall
    gauge theory
    communication
    mirrors
    scalars
    vacuum
    integers
    field strength
    sectors
    matrices
    configurations

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world. / Dubovsky, S. L.; Sibiryakov, S. M.

    In: Nuclear Physics, Section B, Vol. 691, No. 1-2, 19.07.2004, p. 91-110.

    Research output: Contribution to journalArticle

    @article{47cadcd428ad4c97829e9034620e88d7,
    title = "Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world",
    abstract = "Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the Nth vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the {"}mirror world{"} idea, and speculate on some phenomenological consequences of this scenario.",
    author = "Dubovsky, {S. L.} and Sibiryakov, {S. M.}",
    year = "2004",
    month = "7",
    day = "19",
    doi = "10.1016/j.nuclphysb.2004.05.013",
    language = "English (US)",
    volume = "691",
    pages = "91--110",
    journal = "Nuclear Physics B",
    issn = "0550-3213",
    publisher = "Elsevier",
    number = "1-2",

    }

    TY - JOUR

    T1 - Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world

    AU - Dubovsky, S. L.

    AU - Sibiryakov, S. M.

    PY - 2004/7/19

    Y1 - 2004/7/19

    N2 - Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the Nth vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the "mirror world" idea, and speculate on some phenomenological consequences of this scenario.

    AB - Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the Nth vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the "mirror world" idea, and speculate on some phenomenological consequences of this scenario.

    UR - http://www.scopus.com/inward/record.url?scp=3042648668&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=3042648668&partnerID=8YFLogxK

    U2 - 10.1016/j.nuclphysb.2004.05.013

    DO - 10.1016/j.nuclphysb.2004.05.013

    M3 - Article

    VL - 691

    SP - 91

    EP - 110

    JO - Nuclear Physics B

    JF - Nuclear Physics B

    SN - 0550-3213

    IS - 1-2

    ER -