Deformations with Maximal Supersymmetries Part 1: On-shell Formulation

Abstract

We study deformations of maximally supersymmetric gauge theories by higher dimensional operators in various spacetime dimensions. We classify infinitesimal deformations that preserve all 16 supersymmetries, while allowing the possibility of breaking either Lorentz or R-symmetry, using an on-shell algebraic method developed by Movshev and Schwarz. We also consider the problem of extending the deformation beyond the first order.

58 pages, new references are added

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• Higher Derivative Terms, Toroidal Compactification, and Weyl Anomalies in Six-Dimensional (2,0) Theories
• On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
• Interpolating the Coulomb Phase of Little String Theory
• Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
• Pure spinor superspace action for D=6, N=1 super-Yang-Mills theory
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity
• An Extraordinary Mass Invariant and an Obstruction in a Massive Superspin One Half Model made with a Chiral Dotted Spinor Superfield