Covariant Quantization of the Brink-Schwarz Superparticle

Abstract

The quantization of the Brink-Schwarz-Casalbuoni superparticle is performed in an explicitly covariant way using the antibracket formalism. Since an infinite number of ghost fields are required, within a suitable off-shell twistor-like formalism, we are able to fix the gauge of each ghost sector without modifying the physical content of the theory. The computation reveals that the antibracket cohomology contains only the physical degrees of freedom.

arXiv comment24 pages

References in corpus (19)

• Super-Poincare Covariant Quantization of the Superstring
• Antibracket, Antifields and Gauge-Theory Quantization
• Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory
• Consistency of Super-Poincare Covariant Superstring Tree Amplitudes
• Cohomology in the Pure Spinor Formalism for the Superstring
• The Superparticle and the Lorentz Group
• A twistor-like D=10 superparticle action with manifest N=8 world-line supersymmetry
• Twistor-like superstrings with D = 3, 4, 6 target-superspace and N = (1,0), (2,0), (4,0) world-sheet supersymmetry
• Cohomological analysis of gauged-fixed gauge theories
• Gauged String Actions and O($\tilde{d}$, $\tilde{d}$) Transformation
• Weak Dirac bracket construction and the superparticle covariant quantization problem
• The nonminimal scalar multiplet: duality, sigma-model, beta-function
• Particles, Superparticles and Super Yang--Mills
• Quantization of the complex linear superfield
• Geometry and beta-functions for N=2 matter models in two dimensions
• On the Covariant Quantization of the 2nd-Ilk Superparticle
• Notes on the Quantization of the Complex Linear Superfield
• Batalin-Vilkovisky Lagrangian Quantisation
• Consistent Batalin--Fradkin quantization of Infinitely Reducible First Class Constraints

Cited by in corpus (11)

• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• Pure spinor superfields -- an overview
• The Covariant Quantum Superstring and Superparticle from their Classical Actions
• An Introduction to the Covariant Quantization of Superstrings
• The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
• Supersymmetric string model with 30 kappa--symmetries in an extended D=11 superspace and 30/ 32 BPS states
• BFT embedding of the Green-Schwarz superstring and the pure spinor formalism
• Yang-Mills Theory as an Illustration of the Covariant Quantization of Superstrings
• N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
• Notes on the Quantization of the Complex Linear Superfield
• Symmetry and holonomy in M Theory