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Fermions on the antibrane: Higher order interactions and spontaneously broken supersymmetry

Keshav Dasgupta*, Maxim Emelin†, and Evan McDonough‡

  • Ernest Rutherford Physics Building, McGill University, 3600 University Street, Montréal, Quebec, Canada H3A 2T8

  • *keshav@hep.physics.mcgill.ca
  • †maxim.emelin@mail.mcgill.ca
  • ‡evanmc@physics.mcgill.ca
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Phys. Rev. D 95, 026003 – Published 4 January, 2017

DOI: https://doi.org/10.1103/PhysRevD.95.026003

Abstract

It has been recently argued that inserting a probe D3¯-brane in a flux background breaks supersymmetry spontaneously instead of explicitly, as previously thought. In this paper we argue that such spontaneous breaking of supersymmetry persists even when the probe D3¯-brane is kept in a curved background with an internal space that does not have to be a Calabi-Yau manifold. To show this we take a specific curved background generated by fractional 3-branes and fluxes on a non-Kähler resolved conifold where supersymmetry breaking appears directly from certain worldvolume fermions becoming massive. In fact this turns out to be a generic property even if we change the dimensionality of the antibrane, or allow higher-order fermionic interactions on the antibrane. We argue for the former by taking a probe D7¯-brane in a flux background and demonstrate the spontaneous breaking of supersymmetry using worldvolume fermions. We argue for the latter by constructing an all-order fermionic action for the D3¯-brane from which the spontaneous nature of supersymmetry breaking can be demonstrated by bringing it to a κ-symmetric form.

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Phys. Rev. D 95, 026003– Published 4 January, 2017
  • Received 9 June 2016

© 2017 American Physical Society

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