Topological First-Order Systems with Landau-Ginzburg Interactions

Details Topological First-Order Systems with Landau-Ginzburg Interactions Topological First-Order Systems with Landau-Ginzburg Interactions

1992-04-10

arxiv.org/abs/hep-th/9204041v1

Nucl.Phys. B387 (1992) 333-372

Physics

High Energy Physics

High Energy Physics - Theory

37 pages

Scientific paper

10.1016/0550-3213(92)90164-7

We consider the realization of N=2 superconformal models in terms of free first-order $(b,c,\beta,\gamma)$-systems, and show that an arbitrary Landau-Ginzburg interaction with quasi-homogeneous potential can be introduced without spoiling the (2,2)-superconformal invariance. We discuss the topological twisting and the renormalization group properties of these theories, and compare them to the conventional topological Landau-Ginzburg models. We show that in our formulation the parameters multiplying deformation terms in the potential are flat coordinates. After properly bosonizing the first-order systems, we are able to make explicit calculations of topological correlation functions as power series in these flat coordinates by using standard Coulomb gas techniques. We retrieve known results for the minimal models and for the torus.

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