Classification of Strongly Rational Vertex Operator Algebras with Central and Effective Central Charge One
Xu, Shun;
Classification of Strongly Rational Vertex Operator Algebras with Central and Effective Central Charge One
We classify the strongly rational vertex operator algebras whose central charge and effective central charge are both one. Every such algebra is isomorphic to one of $$V_L,\qquad V_L^+,\qquad V_{A_1}^{A_4},\qquad V_{A_1}^{S_4},\qquad V_{A_1}^{A_5},$$ where $L$ ranges over the positive-definite even lattices of rank one and $A_1=\sqrt2\mathbb{Z}$.