Origin of Soft Limits from Nonlinear Supersymmetry in Volkov-Akulov Theory

Abstract

We apply the background field technique, recently developed for a general class of nonlinear symmetries, at tree level, to the Volkov-Akulov theory with spontaneously broken N=1 supersymmetry. We find that the background field expansion in terms of the free fields to the lowest order reproduces the nonlinear supersymmetry transformation rules. The double soft limit of the background field is, in agreement with the new general identities, defined by the algebra of the nonlinear symmetries.

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References in corpus (9)

• From Linear SUSY to Constrained Superfields
• Extensions of Theories from Soft Limits
• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• Recursion relations from soft theorems
• Adler's Zero and Effective Lagrangians for Nonlinearly Realized Symmetry
• Scattering Equations, Twistor-string Formulas and Double-soft Limits in Four Dimensions
• The footprint of E7 in amplitudes of N=8 supergravity
• Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models
• Nonlinear (Super)Symmetries and Amplitudes

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• Nonlinear (Super)Symmetries and Amplitudes
• Flavour-kinematics duality for Goldstone modes
• Leading order multi-soft behaviors of tree amplitudes in NLSM
• An Algebraic Classification of Exceptional EFTs Part II: Supersymmetry
• Internal Supersymmetry and Small-field Goldstini
• Tree amplitudes from nonlinear (super)symmetries in Volkov-Akulov theory