Nonlinear (Super)Symmetries and Amplitudes

Abstract

There is an increasing interest in nonlinear supersymmetries in cosmological model building. Independently, elegant expressions for the all-tree amplitudes in models with nonlinear symmetries, like D3 brane Dirac-Born-Infeld-Volkov-Akulov theory, were recently discovered. Using the generalized background field method we show how, in general, nonlinear symmetries of the action, bosonic and fermionic, constrain amplitudes beyond soft limits. The same identities control, for example, bosonic E_{7(7)} scalar sector symmetries as well as the fermionic goldstino symmetries. We present a universal derivation of the vanishing amplitudes in the single (bosonic or fermionic) soft limit. We explain why, universally, the double-soft limit probes the coset space algebra. We also provide identities describing the multiple-soft limit. We discuss loop corrections to N\geq 5 supergravity, to the D3 brane, and the UV completion of constrained multiplets in string theory.

29p

References in corpus (21)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• E7(7) constraints on counterterms in N=8 supergravity
• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• Extensions of Theories from Soft Limits
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• String Theory Origin of Constrained Multiplets
• Explicit Action of E7(7) on N=8 Supergravity Fields
• N=8 Counterterms and E7(7) Current Conservation
• Scattering Equations, Twistor-string Formulas and Double-soft Limits in Four Dimensions
• The footprint of E7 in amplitudes of N=8 supergravity
• Exploring soft constraints on effective actions
• Constrained superfields from an anti-D3-brane in KKLT
• Conformal Anomalies and Gravitational Waves
• Origin of Soft Limits from Nonlinear Supersymmetry in Volkov-Akulov Theory
• Selfduality of non-linear electrodynamics with derivative corrections
• Obstruction to E_{7(7)} Deformation in N=8 Supergravity
• Noether theorems and higher derivatives

Cited by in corpus (10)

• Semi-abelian Z-theory: NLSM+phi^3 from the open string
• Lie-algebraic classification of effective theories with enhanced soft limits
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• On the exactness of soft theorems
• Goldstino superfields in N=2 supergravity
• Origin of Soft Limits from Nonlinear Supersymmetry in Volkov-Akulov Theory
• Scattering amplitudes of massive Nambu-Goldstone bosons
• The Action with Manifest E7 Type Symmetry
• Internal Supersymmetry and Small-field Goldstini
• Tree amplitudes from nonlinear (super)symmetries in Volkov-Akulov theory