Killing Spinors and SYM on Curved Spaces

Details Killing Spinors and SYM on Curved Spaces Killing Spinors and SYM on Curved Spaces

2000-05-10

arxiv.org/abs/hep-th/0005098v2

JHEP 0011 (2000) 023

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, LaTeX2e + JHEP.cls; v2: minor changes: corrected some typos, added one footnote and removed another

Scientific paper

10.1088/1126-6708/2000/11/023

We construct two families of globally supersymmetric counterparts of standard Poincar\'e supersymmetric SYM theories on curved space-times admitting Killing spinors, in all dimensions less than six and eight respectively. The former differs from the standard theory only by mass terms for the fermions and scalars and modified supersymmetry transformation rules, the latter in addition has cubic Chern-Simons like couplings for the scalar fields. We partially calculate the supersymmetry algebra of these models, finding R-symmetry extensions proportional to the curvature. We also show that generically these theories have no continuous Coulomb branch of maximally supersymmetric vacua, but that there exists a half-BPS Coulomb branch approaching the standard Coulomb branch in the Ricciflat limit.

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