Double-vector multiplet and partially broken N = 4, d = 3 supersymmetry

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Original languageEnglish
Pages (from-to)192-200
Number of pages9
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume487
Issue number1-2
Publication statusPublished - 10 Aug 2000

Abstract

We elaborate on a new N = 2, d = 3 supermultiplet (double-vector multiplet) with a non-trivial off-shell realization of the central charge. Its bosonic sector comprises two abelian gauge vector fields forming an SO(2) vector. We present a superfield formulation of this multiplet in the central-charge extended N = 2, d = 3 superspace and then employ it, in the framework of the nonlinear realizations approach, as the Goldstone one for the partial breaking N = 4 → N = 2 in three dimensions. The covariant equations of motion for the self-interacting Goldstone superfield arise as a natural generalization of the free ones and are interpreted as the worldvolume supersymmetric form of the equations of motion of a N= 4 D2-brane. For the vector fields we find a coupled nonlinear system of Born-Infeld type and demonstrate its dual equivalence to the d = 5 membrane. The double-vector multiplet can be fused with some extra N = 2, d = 3 multiplet to form an off-shell N = 4, d = 3 supermultiplet. (C) 2000 Elsevier Science B.V.

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Double-vector multiplet and partially broken N = 4, d = 3 supersymmetry. / Ivanov, E.; Krivonos, S.; Lechtenfeld, O.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 487, No. 1-2, 10.08.2000, p. 192-200.

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note = "Funding Information: We would like to thank S. Kuzenko, D. Sorokin and B. Zupnik for useful discussions. The work of E.I. and S.K. was supported in part by the grants RFBR-CNRS 98-02-22034, RFBR 99-02-18417, RFBR-DFG 98-02-001-80 and NATO Grant PST.CLG 974874. E.I. thanks LPTHE, Universit{\'e} Paris 7, for hospitality. S.K. is grateful to the Institute of Theoretical Physics in Hannover for hospitality during the final stage of this work. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",
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T1 - Double-vector multiplet and partially broken N = 4, d = 3 supersymmetry

AU - Ivanov, E.

AU - Krivonos, S.

AU - Lechtenfeld, O.

N1 - Funding Information: We would like to thank S. Kuzenko, D. Sorokin and B. Zupnik for useful discussions. The work of E.I. and S.K. was supported in part by the grants RFBR-CNRS 98-02-22034, RFBR 99-02-18417, RFBR-DFG 98-02-001-80 and NATO Grant PST.CLG 974874. E.I. thanks LPTHE, Université Paris 7, for hospitality. S.K. is grateful to the Institute of Theoretical Physics in Hannover for hospitality during the final stage of this work. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2000/8/10

Y1 - 2000/8/10

N2 - We elaborate on a new N = 2, d = 3 supermultiplet (double-vector multiplet) with a non-trivial off-shell realization of the central charge. Its bosonic sector comprises two abelian gauge vector fields forming an SO(2) vector. We present a superfield formulation of this multiplet in the central-charge extended N = 2, d = 3 superspace and then employ it, in the framework of the nonlinear realizations approach, as the Goldstone one for the partial breaking N = 4 → N = 2 in three dimensions. The covariant equations of motion for the self-interacting Goldstone superfield arise as a natural generalization of the free ones and are interpreted as the worldvolume supersymmetric form of the equations of motion of a N= 4 D2-brane. For the vector fields we find a coupled nonlinear system of Born-Infeld type and demonstrate its dual equivalence to the d = 5 membrane. The double-vector multiplet can be fused with some extra N = 2, d = 3 multiplet to form an off-shell N = 4, d = 3 supermultiplet. (C) 2000 Elsevier Science B.V.

AB - We elaborate on a new N = 2, d = 3 supermultiplet (double-vector multiplet) with a non-trivial off-shell realization of the central charge. Its bosonic sector comprises two abelian gauge vector fields forming an SO(2) vector. We present a superfield formulation of this multiplet in the central-charge extended N = 2, d = 3 superspace and then employ it, in the framework of the nonlinear realizations approach, as the Goldstone one for the partial breaking N = 4 → N = 2 in three dimensions. The covariant equations of motion for the self-interacting Goldstone superfield arise as a natural generalization of the free ones and are interpreted as the worldvolume supersymmetric form of the equations of motion of a N= 4 D2-brane. For the vector fields we find a coupled nonlinear system of Born-Infeld type and demonstrate its dual equivalence to the d = 5 membrane. The double-vector multiplet can be fused with some extra N = 2, d = 3 multiplet to form an off-shell N = 4, d = 3 supermultiplet. (C) 2000 Elsevier Science B.V.

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