Topological current algebras in two dimensions

Abstract

Two-dimensional topological field theories possessing a non-abelian current symmetry are constructed. The topological conformal algebra of these models is analysed. It differs from the one obtained by twisting the $N=2$ superconformal models and contains generators of dimensions $1$, $2$ and $3$ that close a linear algebra. Our construction can be carried out with one and two bosonic currents and the resulting theories can be interpreted as topological sigma models for group manifolds

16 pages

References in corpus (3)

• $G/G$--Topological Field Theories by Cosetting $G_k$
• G/G Models and W_N strings
• c=1 String Theory as a Topological G/G Model

Cited by in corpus (5)

• Disordered Dirac Fermions: the Marriage of Three Different Approaches
• Nonreductive WZW models and their CFTs
• gl(N,N) Current Algebras and Topological Field Theories
• N=2 structures in all string theories
• Superconformal current algebras and topological field theories