Superfield algorithms for topological field theories

Abstract

A superfield algorithm for master actions of a class of gauge field theories including topological ones in arbitrary dimensions is presented generalizing a previous treatment in two dimensions. General forms for master actions in superspace are given, and possible theories are determined by means of a ghost number prescription and the master equations. The resulting master actions determine the original actions together with their gauge invariances. Generalized Poisson sigma models in arbitrary dimensions are constructed by means of this algorithm, and other applications in low dimensions are given including the Chern-Simon model.

17 pages,Latexfile,minor remarks and changes

References in corpus (1)

• Topological Open P-Branes

Cited by in corpus (20)

• Noncommutative homotopy algebras associated with open strings
• Homotopy Algebra Morphism and Geometry of Classical String Field Theory
• A Poincare lemma for sigma models of AKSZ type
• Lectures on AKSZ Sigma Models for Physicists
• First order parent formulation for generic gauge field theories
• Parent formulations, frame-like Lagrangians, and generalized auxiliary fields
• Frame-like Lagrangians and presymplectic AKSZ-type sigma models
• Gauge PDE and AKSZ-type Sigma Models
• Deformation of Batalin-Vilkovisky Structures
• Hamiltonian N=2 Superfield Quantization
• Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles
• Superfield Hamiltonian quantization in terms of quantum antibrackets
• Hamiltonian Superfield Formalism with N Supercharges
• Path Integral Formulation with Deformed Antibracket
• Basic features of General Superfield Quantization Method for gauge theories in Lagrangian formalism
• Does the nontrivially deformed field-antifield formalism exist?
• Extended sigma-model in nontrivially deformed field-antifield formalism
• N=1 supersymmetric Yang-Mills theory in d=4 and its Batalin-Vilkovisky quantization by spinor superfields
• BRST Extension of the Non-Linear Unfolded Formalism
• Generalized sigma model with dynamical antisymplectic potential and non-Abelian de Rham's differential