Supersymmetric theories on squashed five-sphere

Abstract

We construct supersymmetric theories on the SU(3)xU(1) symmetric squashed five-sphere with 2, 4, 6, and 12 supercharges. We first determine the Killing equation by dimensional reduction from 6d, and use Noether procedure to construct actions. The supersymmetric Yang-Mills action is straightforwardly obtained from the supersymmetric Chern-Simons action by using a supersymmetry preserving constant vector multiplet.

20 pages, no figure, LaTeX; v3: minor corrections, accepted for publication in PTEP

References in corpus (7)

• 5-dim Superconformal Index with Enhanced En Global Symmetry
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• Supersymmetric Gauge Theories on the Five-Sphere
• $N^3$-behavior from 5D Yang-Mills theory
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• 5D SYM on 3D Sphere and 2D YM
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