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Dirac-Born-Infeld-Volkov-Akulov and deformation of supersymmetry

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Abstract

We deform the action and the supersymmetry transformations of the d = 10 and d = 4 Maxwell supermultiplets so that at each order of the deformation the theory has 16 Maxwell multiplet deformed supersymmetries as well as 16 Volkov-Akulov type non-linear supersymmetries. The result agrees with the expansion in the string tension of the explicit action of the Dirac-Born-Infeld model and its supersymmetries, extracted from D9 and D3 superbranes, respectively. The half-maximal Dirac-Born-Infeld models with 8 Maxwell supermultiplet deformed supersymmetries and 8 Volkov-Akulov type supersymmetries are described by a new class of d = 6 vector branes related to chiral (2,0) supergravity, which we denote as ‘Vp-branes’. We use a space-filling V5 superbrane for the d = 6 model and a V3 superbrane for the d = 4 half-maximal Dirac-Born-Infeld (DBI) models. In this way we present a completion to all orders of the deformation of the Maxwell supermultiplets with maximal 16+16 supersymmetries in d = 10 and 4, and half-maximal 8+8 supersymmetries in d = 6 and 4.

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Authors and Affiliations

  1. Centre for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG, Groningen, The Netherlands

    Eric Bergshoeff

  2. Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D, B-3001, Leuven, Belgium

    Frederik Coomans & Antoine Van Proeyen

  3. Stanford Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, CA, 94305, U.S.A.

    Renata Kallosh

  4. Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera, 13-15, C.U. Cantoblanco, 28049, Madrid, Spain

    C. S. Shahbazi

Authors
  1. Eric Bergshoeff
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  2. Frederik Coomans
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  3. Renata Kallosh
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  4. C. S. Shahbazi
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  5. Antoine Van Proeyen
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Correspondence to Antoine Van Proeyen.

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ArXiv ePrint: 1303.5662

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Bergshoeff, E., Coomans, F., Kallosh, R. et al. Dirac-Born-Infeld-Volkov-Akulov and deformation of supersymmetry. J. High Energ. Phys. 2013, 100 (2013). https://doi.org/10.1007/JHEP08(2013)100

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