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Field space geometry and nonlinear supersymmetry

Journal Article · · Physical Review. D.

We propose a geometric formulation of effective field theories via nonlinear supersymmetry. Nonsupersymmetric particles are embedded in constrained superfields governed by a nonlinear σ model, and operators are collected into potentials on the target space. The use of chiral superfields standardizes the treatment of flavor across scalars and fermions, and the minimal jet bundle extension makes invariance under derivative field redefinitions manifest.

Published by the American Physical Society 2025
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0011702
OSTI ID:
2565039
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 10 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (56)

Geometrical structure and ultraviolet finiteness in the supersymmetric ?-model journal September 1981
Constrained superfields in supergravity journal February 2016
Renormalization of the Standard Model Effective Field Theory from geometry journal February 2023
Two loop renormalization of scalar theories using a geometric approach journal February 2024
Is SMEFT enough? journal March 2021
Geometric soft theorems journal April 2022
On the origin of constrained superfields journal May 2016
Soft scalars in effective field theory journal June 2024
On amplitudes and field redefinitions journal June 2024
Geometry of the scalar sector journal August 2016
Effective field theories as Lagrange spaces journal November 2023
Fermion geometry and the renormalization of the Standard Model Effective Field Theory journal November 2023
Unitarity violation and the geometry of Higgs EFTs journal December 2021
An algebraic formula for two loop renormalization of scalar quantum field theory journal December 2023
The background field method and the ultraviolet structure of the supersymmetric nonlinear σ-model journal June 1981
Symmetric space scalar field theory journal February 1982
Change of variables and equivalence theorems in quantum field theories journal December 1961
Change of variables in quantum field theories journal August 1961
Is the neutrino a goldstone particle? journal September 1973
Non-Linear realization of supersymmetry algebra from supersymmetric constraint journal April 1989
Reduced effective lagrangians journal January 1995
Application of invariant renormalization to the non-linear chiral invariant pion Lagrangian in the one-loop approximation journal December 1971
Chiral multi-loops journal January 1972
The background field method and the non-linear σ-model journal January 1988
Non-linear MSSM journal December 2010
Low scale supersymmetry breaking and its LHC signatures journal May 2013
Relating the Komargodski–Seiberg and Akulov–Volkov actions: Exact nonlinear field redefinition journal April 2011
Holomorphy without supersymmetry in the Standard Model Effective Field Theory journal December 2014
One-loop non-renormalization results in EFTs journal July 2015
A geometric formulation of Higgs Effective Field Theory: Measuring the curvature of scalar field space journal March 2016
Sigma models with negative curvature journal May 2016
On the effective action for scalars in a general manifold to any loop order journal June 2023
Minimal supergeometric quantum field theories journal November 2023
Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry journal September 2010
The Geometry of Jet Bundles journal November 2009
Realization of Chiral Symmetry in a Curved Isospin Space journal April 1969
General relationship between linear and nonlinear realisations of supersymmetry journal December 1978
Supersymmetric models with higher dimensional operators journal March 2008
From linear SUSY to constrained superfields journal September 2009
Jet bundle geometry of scalar field theories journal October 2024
Structure of Phenomenological Lagrangians. I journal January 1969
Symmetry and geometry in a generalized Higgs effective field theory: Finiteness of oblique corrections versus perturbative unitarity journal October 2019
Roads to the Standard Model journal May 2022
Geometry-kinematics duality journal August 2022
Geometry in scattering amplitudes journal December 2022
Supergeometric quantum effective action journal November 2024
What is the geometry of effective field theories? journal April 2025
Constrained local superfields journal April 1979
Chiral-Invariant Perturbation Theory journal April 1971
Supersymmetric P ( X , ϕ ) and the ghost condensate journal June 2011
Renormalization group evolution of Higgs effective field theory journal February 2018
Gauge Fixing the Standard Model Effective Field Theory journal June 2018
On-Shell Covariance of Quantum Field Theory Amplitudes journal January 2023
Effective Field Theories on the Jet Bundle journal February 2024
Linearizing the Volkov-Akulov Model journal August 1978
Frame covariant formalism for fermionic theories journal July 2021

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