Field Space Geometry and Nonlinear Supersymmetry
arXiv:2410.21395 · doi:10.1103/PhysRevD.111.105004
Abstract
We propose a geometric formulation of effective field theories via nonlinear supersymmetry. Non-supersymmetric particles are embedded in constrained superfields governed by a nonlinear sigma 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.
7 pages, v2: Journal version, 1 figure added
References in corpus (28)
- Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
- From Linear SUSY to Constrained Superfields
- Reduced Effective Lagrangians
- A Geometric Formulation of Higgs Effective Field Theory: Measuring the Curvature of Scalar Field Space
- Geometry of the Scalar Sector
- Is SMEFT Enough?
- Holomorphy without Supersymmetry in the Standard Model Effective Field Theory
- Supersymmetric P(X,phi) and the Ghost Condensate
- Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
- On the origin of constrained superfields
- Non-linear MSSM
- Renormalization group evolution of Higgs effective field theory
- Supersymmetric Models with Higher Dimensional Operators
- Geometric Soft Theorems
- Constrained superfields in Supergravity
- Gauge fixing the Standard Model Effective Field Theory
- Sigma Models with Negative Curvature
- Geometry-Kinematics Duality
- Renormalization of the Standard Model Effective Field Theory from Geometry
- Low Scale Supersymmetry Breaking and its LHC Signatures
- Geometry in Scattering Amplitudes
- Symmetry and geometry in generalized Higgs effective field theory -- Finiteness of oblique corrections v.s. perturbative unitarity
- On the effective action for scalars in a general manifold to any loop order
- On-Shell Covariance of Quantum Field Theory Amplitudes
- Frame Covariant Formalism for Fermionic Theories
- Effective Field Theories on the Jet Bundle
- Jet Bundle Geometry of Scalar Field Theories
- Effective Field Theories as Lagrange Spaces