BRST symmetry and $W$-algebra in higher derivative models

Abstract

In this paper we discuss the (anti-)BRST symmetries and $W$-algebra of higher derivative theories of relativistic particles satisfying general gauge conditions. Using this formalism, the connection between the (anti-)BRST symmetries and $W$-algebra for the rigid relativistic particle is established. Incidentally, the full $W$-algebra emerges only when the anti-BRST transformations are considered in tandem with the BRST ones. Further, the BRST symmetry is made finite and coordinate-dependent. We show that such finite coordinate-dependent BRST symmetry changes the BRST invariant gauge-fixing fermion within the functional integration. This is exploited to connect two different arbitrary gauge conditions.

14 pages, Latex, some changes in text, to appear in Phys. Rev. D

References in corpus (9)

• Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
• Off-shell nilpotent finite BRST/anti-BRST transformations
• Finite nilpotent symmetry in Batalin-Vilkovisky formalism
• Canonical Structure of Higher Derivative Gravity in 3D
• Finite BRST transformation and constrained systems
• The noncovariant gauges in 3-form theories
• BV formulation of higher form gauge theories in a superspace
• Quantum charged rigid membrane
• Gauge symmetry and Virasoro algebra in quantum charged rigid membrane -- a first order formalism

Cited by in corpus (29)

• Equivalence between two different field-dependent BRST formulations
• Aspects of finite field-dependent symmetry in SU(2) Cho-Faddeev-Niemi decomposition
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• ABJM theory in Batalin-Vilkovisky formulation
• Finite field-dependent symmetries in perturbative quantum gravity
• Generalized BRST Symmetry and Gaugeon Formalism for Perturbative Quantum Gravity: Novel Observation
• Generalized BRST symmetry for arbitrary spin conformal field theory
• Field-dependent quantum gauge transformation
• New Hamiltonian analysis of Regge Teitelboim minisuperspace cosmology
• Field-dependent symmetries in Friedmann-Robertson-Walker models
• IR finite graviton propagators in de Sitter spacetime
• N=1 super-Chern-Simons theory in Batalin-Vilkovisky formulation
• Generalized supersymmetry and sigma models
• Comments on interactions in the SUSY models
• The conformal gauge to the derivative gauge for worldsheet gravity
• Nilpotent Symmetries in Super-Group Field Cosmology
• Green's Functions in Perturbative Quantum Gravity
• Gaugeon formalism in the framework of generalized BRST symmetry
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• Constraints on Operator Ordering from Third Quantization
• Finite BRST Mapping in Higher Derivative Models
• Emergence of Lowenstein-Zimmermann mass terms for QED${}_3$
• Spinor and twistor formulations of massless particles with rigidity
• Super-group field cosmology in Batalin-Vilkovisky formulation
• Renormalizability of Supersymmetric Group Field Cosmology
• Soft-Collinear Effective Theory: BRST Formulation
• Quantum gauge symmetry of reducible gauge theory
• Twistor formulation of a massive particle with rigidity
• Investigations In Higher Derivative Field Theories