Solitons in Two--Dimensional Topological Field Theories

Abstract

We consider a class of $N=2$ supersymmetric non--unitary theories in two--dimensional Minkowski spacetime which admit classical solitonic solutions. We show how these models can be twisted into a topological sector whose energy--momentum tensor is a BRST commutator. There is an infinite number of degrees of freedom associated to the zero modes of the solitons. As explicit realizations of such models we discuss the BRST quantization of a system of free fields, while in the interacting case we study $N=2$ complexified twisted Toda theories.

14 pages, IFUM 441/FT

References in corpus (6)

• Quantum Solitons in Affine Toda Field Theories
• Algebraic Structures and Differential Geometry in 2D String Theory
• Quantum Soliton Mass Corrections in SL(N) Affine Toda Theory
• Integrable N=2 Supersymmetric Field Theories
• Quantum Conserved Currents in Supersymmetric Toda Theories
• Quantum symmetries in supersymmetric Toda theories

Cited by in corpus (4)

• Reggeized Gluons with a Running Coupling Constant
• Aspects of Non-Abelian Toda Theories
• Dynkin Diagrams and Integrable Models Based on Lie Superalgebras
• Topological Correlation Functions in Minkowski Spacetime