Supersymmetry from boundary conditions

Gero von Gersdorff, Luigi Pilo, M. Quirós, Antonio Riotto, Veronica Sanz

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    Abstract

    We study breaking and restoration of supersymmetry in five-dimensional theories by determining the mass spectrum of fermions from their equations of motion. Boundary conditions can be obtained from either the action principle by extremizing an appropriate boundary action (interval approach) or by assigning parities to the fields (orbifold approach). In the former, fields extend continuously from the bulk to the boundaries, while in the latter the presence of brane mass-terms cause fields to jump when one moves across the branes. We compare the two approaches and in particular we carefully compute the non-trivial jump profiles of the wavefunctions in the orbifold picture for very general brane mass terms. We also include the effect of the Scherk-Schwarz mechanism in either approach and point out that for a suitable tuning of the boundary actions supersymmetry is present for arbitrary values of the Scherk-Schwarz parameter. As an application of the interval formalism we construct bulk and boundary actions for super-Yang-Mills theory. Finally we extend our results to the warped Randall-Sundrum background. © 2005 Elsevier B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)3-19
    JournalNuclear Physics B
    Volume712
    Issue number1-2
    DOIs
    Publication statusPublished - 18 Apr 2005

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    von Gersdorff, G., Pilo, L., Quirós, M., Riotto, A., & Sanz, V. (2005). Supersymmetry from boundary conditions. Nuclear Physics B, 712(1-2), 3-19. https://doi.org/10.1016/j.nuclphysb.2005.01.004