Nilpotent Symmetries For A Spinning Relativistic Particle In Augmented Superfield Formalism

Abstract

The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of augmented superfield approach to BRST formalism. The trajectory of this super-particle is parametrized by a monotonically increasing parameter τthat is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful one-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element τand a couple of odd elements θand \barθof the Grassmann algebra. Two anticommuting sets of (anti-)BRST symmetry transformations, corresponding to the underlying (super)gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where (i) the horizontality condition, and (ii) the invariance of conserved quantities on the supermanifold, play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided.

LaTeX file, 21 pages, a notation clarified, a footnote added and related statements corrected in Introduction, version to appear in EPJC

Cited by in corpus (22)

• Abelian 2-form gauge theory: superfield formalism
• An Alternative To The Horizontality Condition In Superfield Approach To BRST Symmetries
• Unique Nilpotent Symmetry Transformations For Matter Fields In QED: Augmented Superfield Formalism
• One-Form Abelian Gauge Theory As The Hodge Theory
• Superfield Approach To Nilpotent Symmetries For QED From A Single Restriction: An Alternative To The Horizontality Condition
• Augmented Superfield Approach To Unique Nilpotent Symmetries For Complex Scalar Fields In QED
• Novel symmetries in the modified version of two dimensional Proca theory
• A Generalization Of The Horizontality Condition In The Superfield Approach To Nilpotent Symmetries For QED With Complex Scalar Fields
• N = 2 SUSY symmetries for a moving charged particle under influence of a magnetic field: Supervariable approach
• Augmented Superfield Approach To Exact Nilpotent Symmetries For Matter Fields In Non-Abelian Theory
• General N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach to its Off-Shell Nilpotent Symmetries
• Supersymmetrization of horizontality condition: nilpotent symmetries for a free spinning relativistic particle
• Supervariable approach to nilpotent symmetries of a couple of N = 2 supersymmetric quantum mechanical models
• Augmented Superfield Approach to Nilpotent Symmetries in the Modified Version of 2D Proca Theory
• Nilpotent symmetry invariance in the superfield formulation: the (non-)Abelian 1-form gauge theories
• Nilpotent and absolutely anticommuting symmetries in the Freedman-Townsend model: augmented superfield formalism
• Massive Spinning Relativistic Particle: Revisited Under BRST and Supervariable Approaches
• A Specific N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach
• Universal Superspace Unitary Operator for Some Interesting Abelian Models: Superfield Approach
• Nilpotent symmetry invariance in the non-Abelian 1-form gauge theory: superfield formalism
• Superfield approach to symmetry invariance in QED with complex scalar fields
• Revisiting Novel Symmetries in Coupled $\mathcal{N}=2$ Supersymmetric Quantum Systems: Examples and Supervariable Approach