Generalized supersymmetry and sigma models

Abstract

In this paper, we discuss the generalizations of exact supersymmetries present in the supersymmetrized sigma models. These generalizations are made by making the supersymmetric transformation parameter field-dependent. Remarkably, the supersymmetric effective actions emerge naturally through the Jacobian associated with the generalized supersymmetry transformations. We explicitly demonstrate these for two different supersymmetric sigma models, namely, one dimensional sigma model and topological sigma model for hyperinstantons on quaternionic manifold.

16 pages, No figures, Revised version, to appear in Phys. Lett. B

References in corpus (12)

• Off-shell nilpotent finite BRST/anti-BRST transformations
• Finite nilpotent symmetry in Batalin-Vilkovisky formalism
• Aspects of finite field-dependent symmetry in SU(2) Cho-Faddeev-Niemi decomposition
• Finite BRST transformation and constrained systems
• Twisted supersymmetric sigma model on the lattice
• ABJM theory in Batalin-Vilkovisky formulation
• The noncovariant gauges in 3-form theories
• Finite field-dependent symmetries in perturbative quantum gravity
• Generalized BRST Symmetry and Gaugeon Formalism for Perturbative Quantum Gravity: Novel Observation
• Field-dependent quantum gauge transformation
• N=1 super-Chern-Simons theory in Batalin-Vilkovisky formulation
• Gaugeon formalism in the framework of generalized BRST symmetry

Cited by in corpus (18)

• Equivalence between two different field-dependent BRST formulations
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• Generalized BRST symmetry for arbitrary spin conformal field theory
• Field-dependent symmetries in Friedmann-Robertson-Walker models
• IR finite graviton propagators in de Sitter spacetime
• Comments on interactions in the SUSY models
• The conformal gauge to the derivative gauge for worldsheet gravity
• Nilpotent Symmetries in Super-Group Field Cosmology
• Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
• BRST Quantization of Unimodular Gravity
• Green's Functions in Perturbative Quantum Gravity
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• Finite Field-dependent Symmetry in Thirring Model
• Emergence of Lowenstein-Zimmermann mass terms for QED${}_3$
• Super-group field cosmology in Batalin-Vilkovisky formulation
• Finite BRST Mapping in Higher Derivative Models
• Soft-Collinear Effective Theory: BRST Formulation
• Quantum gauge symmetry of reducible gauge theory