470 citations · 1.4k across the 102 of their papers we have counts for
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Classification of irreducible modules for the vertex operator algebra V_L^+: General case
T. Abe, C. Dong
The irreducible modules for the fixed point vertex operator subalgebra V_L^+ of the vertex operator algebra V_L associated to an arbitrary positive definite even lattice L under th…
Rationality, Regularity, and C_2-cofiniteness
T. Abe, G. Buhl, C. Dong
We demonstrate that, for CFT vertex operator algebras, C_2-cofiniteness and rationality is equivalent to regularity. In addition, we show that, for C_2-cofinite vertex operators al…
Holomorphic Vertex Operator Algebras of Small Central Charges
C. Dong, G. Mason
We provide a rigorous mathematical foundation to the study of strongly rational, holomorphic vertex operator algebras V of central charge c = 8, 16 and 24 initiated by Schellekens.…
Rational Vertex Operator Algebras and the Effective Central Charge
C. Dong, G. Mason
We establish that the Lie algebra of weight one states in a (strongly) rational vertex operator algebra is reductive, and that its Lie rank is bounded above by the effective centra…
Elliptic genus and vertex operator algebras
Chongying Dong, Kefeng Liu, Xiaonan Ma
We construct bundles of modules of vertex operator algebras, and prove the rigidity and vanishing theorem for the Dirac operator on loop space twisted by such bundles. This result…