Topological Orbifold Models and Quantum Cohomology Rings

Details Topological Orbifold Models and Quantum Cohomology Rings Topological Orbifold Models and Quantum Cohomology Rings

1992-11-25

arxiv.org/abs/hep-th/9211119v1

Commun.Math.Phys. 156 (1993) 301-332

Physics

High Energy Physics

High Energy Physics - Theory

48 pages, harvmac, HUTP-92/A065

Scientific paper

10.1007/BF02098485

We discuss the toplogical sigma model on an orbifold target space. We describe the moduli space of classical minima for computing correlation functions involving twisted operators, and show, through a detailed computation of an orbifold of ${\bf CP}^1$ by the dihedral group $D_{4},$ how to compute the complete ring of observables. Through this procedure, we compute all the rings from dihedral ${\bf CP}^1$ orbifolds; we note a similarity with rings derived from perturbed $D-$series superpotentials of the $A-D-E$ classification of $N = 2$ minimal models. We then consider ${\bf CP}^2/D_4,$ and show how the techniques of topological-anti-topological fusion might be used to compute twist field correlation functions for nonabelian orbifolds.

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