On orbifolds with discrete torsion

Cumrun Vafa; Edward Witten

doi:10.1016/0393-0440(94)00048-9

On orbifolds with discrete torsion

Cumrun Vafa, Edward Witten

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

200 Scopus citations

Abstract

We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain "tringy regions" that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these models also give particularly simple and clear examples of mirror symmetry.

Original language	English (US)
Pages (from-to)	189-214
Number of pages	26
Journal	Journal of Geometry and Physics
Volume	15
Issue number	3
DOIs	https://doi.org/10.1016/0393-0440(94)00048-9
State	Published - Feb 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Keywords

Conformal field theories
Discrete torsion
Orbifolds

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10.1016/0393-0440(94)00048-9

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title = "On orbifolds with discrete torsion",

abstract = "We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain {"}tringy regions{"} that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these models also give particularly simple and clear examples of mirror symmetry.",

keywords = "Conformal field theories, Discrete torsion, Orbifolds",

author = "Cumrun Vafa and Edward Witten",

note = "Funding Information: The research of C.V. was supported in part by the Packard fellowship and NSF grants PHY-92-18167 and PHY-89-57162. The work of E.W. was supported in part by NSF Grant PHY92-45317.",

year = "1995",

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volume = "15",

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AU - Vafa, Cumrun

AU - Witten, Edward

N1 - Funding Information: The research of C.V. was supported in part by the Packard fellowship and NSF grants PHY-92-18167 and PHY-89-57162. The work of E.W. was supported in part by NSF Grant PHY92-45317.

PY - 1995/2

Y1 - 1995/2

N2 - We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain "tringy regions" that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these models also give particularly simple and clear examples of mirror symmetry.

AB - We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain "tringy regions" that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these models also give particularly simple and clear examples of mirror symmetry.

KW - Conformal field theories

KW - Discrete torsion

KW - Orbifolds

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U2 - 10.1016/0393-0440(94)00048-9

DO - 10.1016/0393-0440(94)00048-9

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VL - 15

SP - 189

EP - 214

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 3

ER -

On orbifolds with discrete torsion

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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