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

339 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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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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AU - Verlinde, Herman

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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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JO - Communications in Mathematical Physics

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IS - 3

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The operator algebra of orbifold models

Abstract

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