Topological orbifold models and quantum cohomology rings

Eric Zaslow

doi:10.1007/BF02098485

Topological orbifold models and quantum cohomology rings

Eric Zaslow^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

Abstract

We discuss the topological 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 CP¹ by the dihedral group D₄, how to compute the complete ring of observables. Through this procedure, we compute all the rings of dihedral CP¹ orbifolds. We then consider CP²/D₄, and show how the techniques of topologicalanti-topological fusion might be used to compute twist field correlation functions for nonabelian orbifolds.

Original language	English (US)
Pages (from-to)	301-331
Number of pages	31
Journal	Communications in Mathematical Physics
Volume	156
Issue number	2
DOIs	https://doi.org/10.1007/BF02098485
State	Published - Sep 1993

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF02098485

Cite this

@article{af45e541661c43838876a31919cf9893,

title = "Topological orbifold models and quantum cohomology rings",

abstract = "We discuss the topological 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 CP1 by the dihedral group D4, how to compute the complete ring of observables. Through this procedure, we compute all the rings of dihedral CP1 orbifolds. We then consider CP2/D4, and show how the techniques of topologicalanti-topological fusion might be used to compute twist field correlation functions for nonabelian orbifolds.",

author = "Eric Zaslow",

year = "1993",

month = sep,

doi = "10.1007/BF02098485",

language = "English (US)",

volume = "156",

pages = "301--331",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Topological orbifold models and quantum cohomology rings

AU - Zaslow, Eric

PY - 1993/9

Y1 - 1993/9

N2 - We discuss the topological 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 CP1 by the dihedral group D4, how to compute the complete ring of observables. Through this procedure, we compute all the rings of dihedral CP1 orbifolds. We then consider CP2/D4, and show how the techniques of topologicalanti-topological fusion might be used to compute twist field correlation functions for nonabelian orbifolds.

AB - We discuss the topological 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 CP1 by the dihedral group D4, how to compute the complete ring of observables. Through this procedure, we compute all the rings of dihedral CP1 orbifolds. We then consider CP2/D4, and show how the techniques of topologicalanti-topological fusion might be used to compute twist field correlation functions for nonabelian orbifolds.

UR - http://www.scopus.com/inward/record.url?scp=21144466484&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21144466484&partnerID=8YFLogxK

U2 - 10.1007/BF02098485

DO - 10.1007/BF02098485

M3 - Article

AN - SCOPUS:21144466484

SN - 0010-3616

VL - 156

SP - 301

EP - 331

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Topological orbifold models and quantum cohomology rings

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this