Rationality, Regularity, and C₂-cofiniteness
classification
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keywords
cofinitealgebrascofinitenessmodulesrationalityregularityvertexaddition
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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 algebras, irreducible weak modules are ordinary modules and C_2-cofinite, and V_L^+ are C_2-cofinite.
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