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math.QA2008★ 81 cited
Cardy algebras and sewing constraints, I
Liang Kong, Ingo Runkel
This is part one of a two-part work that relates two different approaches to two-dimensional open-closed rational conformal field theory. In part one we review the definition of a…
math.QA2005
Full field algebras
Yi-Zhi Huang, Liang Kong
We solve the problem of constructing a genus-zero full conformal field theory (a conformal field theory on genus-zero Riemann surfaces containing both chiral and antichiral parts)…
math.QA2003
Open-string vertex algebras, tensor categories and operads
Yi-Zhi Huang, Liang Kong
We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' gene…