Topological orbifold models and quantum cohomology rings

Zaslow, Eric

doi:10.1007/BF02098485

Topological orbifold models and quantum cohomology rings

Eric Zaslow
(
- Harvard U.
)

Nov, 1992

48 pages

Published in:

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

e-Print:

hep-th/9211119 [hep-th]

DOI:

10.1007/BF02098485

Report number:

HUTP-92-A065

View in:

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Abstract:

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.

sigma model: nonlinear
supersymmetry
field theory: topological
field theory: orbifold
moduli space
correlation function
algebra: Becchi-Rouet-Stora
cohomology

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Figures(0)

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