Explicitly broken supersymmetry with exactly massless moduli
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JHEP06(2016)090_pdfa.pdf
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Author(s)
Dong, Xi
Zhao, Yue
Freedman, Daniel Z.
Date Issued
June 2015
Journal
Journal of High Energy Physics
Publisher
Springer/SISSA
Citation
Dong, Xi, Daniel Z. Freedman, and Yue Zhao. “Explicitly Broken Supersymmetry with Exactly Massless Moduli.” Journal of High Energy Physics 2016, no. 6 (June 2016).
Version
Final published version
Abstract
The AdS/CFT correspondence is applied to an analogue of the little hierarchy problem in three-dimensional supersymmetric theories. The bulk is governed by a super-gravity theory in which a U(1) × U(1) R-symmetry is gauged by Chern-Simons fields. The bulk theory is deformed by a boundary term quadratic in the gauge fields. It breaks SUSY completely and sources an exactly marginal operator in the dual CFT. SUSY breaking is communicated by gauge interactions to bulk scalar fields and their spinor superpartners. The bulk-to-boundary propagator of the Chern-Simons fields is a total derivative with respect to the bulk coordinates. Integration by parts and the Ward identity permit evaluation of SUSY breaking effects to all orders in the strength of the deformation. The R-charges of scalars and spinors differ so large SUSY breaking mass shifts are generated. Masses of R-neutral particles such as scalar moduli are not shifted to any order in the deformation strength, despite the fact that they may couple to R-charged fields running in loops. We also obtain a universal deformation formula for correlation functions under an exactly marginal deformation by a product of holomorphic and anti-holomorphic U(1) currents.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/JHEP06(2016)090
