Rationality, regularity, and 𝐶₂-cofiniteness
Authors:
- Toshiyuki AbeTAToshiyuki Abe
- Geoffrey BuhlGBGeoffrey Buhl
- Chongying DongCDChongying Dong
- 15 December 2003
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 356 (8) , 3391-3402
Abstract
We demonstrate that, for vertex operator algebras of CFT type, C 2 C_2 -cofiniteness and rationality is equivalent to regularity. For C 2 C_2 -cofinite vertex operator algebras, we show that irreducible weak modules are ordinary modules and C 2 C_2 -cofinite, V L + V_L^+ is C 2 C_2 -cofinite, and the fusion rules are finite.Keywords
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