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The operator algebra of orbifold models |
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| Authors: | Robbert Dijkgraaf Cumrun Vafa Erik Verlinde Herman Verlinde |
| Affiliation: | (1) Institute for Theoretical Physics, University of Utrecht, P.O. Box 80.006, NL-3508 TA Utrecht, The Netherlands;(2) Lyman Laboratory of Physics, Harvard University, 02138 Cambridge, MA, USA;(3) Institute for Advanced Study, 08540 Princeton, NJ, USA;(4) Joseph Henry Laboratories, Princeton University, 08544 Princeton, NJ, USA |
| 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 andc=1 models. |
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