The operator algebra of orbifold models

Robbert Dijkgraaf; Cumrun Vafa; Erik Verlinde; Herman Verlinde

doi:10.1007/BF01238812

The operator algebra of orbifold models

Robbert Dijkgraaf
, Cumrun Vafa
, Erik Verlinde
, Herman Verlinde

Physics

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

391 Scopus citations

Abstract

We analyze the chiral properties of (orbifold) conformal field theories which are obtained from a given conformal field theory by modding out by a finite symmetry group. For a class of orbifolds, we derive the fusion rules by studying the modular transformation properties of the one-loop characters. The results are illustrated with explicit calculations of toroidal and c=1 models.

Original language	English (US)
Pages (from-to)	485-526
Number of pages	42
Journal	Communications In Mathematical Physics
Volume	123
Issue number	3
DOIs	https://doi.org/10.1007/BF01238812
State	Published - Sep 1989

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01238812

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title = "The operator algebra of orbifold models",

abstract = "We analyze the chiral properties of (orbifold) conformal field theories which are obtained from a given conformal field theory by modding out by a finite symmetry group. For a class of orbifolds, we derive the fusion rules by studying the modular transformation properties of the one-loop characters. The results are illustrated with explicit calculations of toroidal and c=1 models.",

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pages = "485--526",

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T1 - The operator algebra of orbifold models

AU - Dijkgraaf, Robbert

AU - Vafa, Cumrun

AU - Verlinde, Erik

AU - Verlinde, Herman

PY - 1989/9

Y1 - 1989/9

N2 - We analyze the chiral properties of (orbifold) conformal field theories which are obtained from a given conformal field theory by modding out by a finite symmetry group. For a class of orbifolds, we derive the fusion rules by studying the modular transformation properties of the one-loop characters. The results are illustrated with explicit calculations of toroidal and c=1 models.

AB - We analyze the chiral properties of (orbifold) conformal field theories which are obtained from a given conformal field theory by modding out by a finite symmetry group. For a class of orbifolds, we derive the fusion rules by studying the modular transformation properties of the one-loop characters. The results are illustrated with explicit calculations of toroidal and c=1 models.

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UR - https://www.scopus.com/pages/publications/33744767975#tab=citedBy

U2 - 10.1007/BF01238812

DO - 10.1007/BF01238812

M3 - Article

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SN - 0010-3616

VL - 123

SP - 485

EP - 526

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

The operator algebra of orbifold models

Abstract

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