The spinning particle with curved target

We extend our previous calculation [arXiv:1511.02135] of the BV cohomology of the spinning particle with a flat target to the general case, in which the target carries a non-trivial pseudo-Riemannian metric and a magnetic field

Manin pairs and topological field theory

Kazama has described an extension of the N=2 superconformal algebra in which the operator product of G^- with itself is singular. In this paper, we relate actions of this chiral algebra to Drinfeld's theory of Manin pairs, or equivalently, quasi-Lie bialgebras. We also show how to couple topological conformal field theories with this symmetry to topological gravity. As an application, we demonstrate the equivalence of the SL(2)/SL(2) model to a deformed SL(2)/SO(2) model tensored with a free field theory. (Revisions correct some minor errors.)Comment: 36 page