Topological Correlation Functions in Minkowski Spacetime

Details Topological Correlation Functions in Minkowski Spacetime Topological Correlation Functions in Minkowski Spacetime

1994-07-13

arxiv.org/abs/hep-th/9407069v1

Nucl.Phys. B436 (1995) 265-290

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, IFUM-476-FT

Scientific paper

10.1016/0550-3213(94)00501-5

We consider a class of non-unitary Toda theories based on the Lie superalgebras $A^{(1)}(n,n)$ in two-dimensional Minkowski spacetime, which can be twisted into a topological sector. In particular we study the simplest example with $n=1$ and real fields, and show how this theory can be treated as an integrable perturbation of the $A(1,0)$ superconformal model. We construct the conserved currents and the vertex operators which are chiral primary fields in the conformal theory. We then define the chiral ring of the $A^{(1)}(1,1)$ Toda theory and compute topological correlation functions in the twisted sector. The calculation is performed using a $N=2$ off--shell superspace approach.

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