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Quasi-finite algebras graded by Hamiltonian and vertex operator algebras
Atsushi Matsuo, Kiyokazu Nagatomo, Akihiro Tsuchiya
A general notion of a quasi-finite algebra is introduced as an algebra graded by the set of all integers equipped with topologies on the homogeneous subspaces satisfying certain pr…
Conformal field theories associated to regular chiral vertex operator algebras I: theories over the projective line
Kiyokazu Nagatomo, Akihiro Tsuchiya
Based on any chiral vertex operator algebra satisfying a suitable finiteness condition, the semisimplicity of the zero-mode algebra as well as a regularity for induced modules, we…
Finiteness of conformal blocks over compact Riemann surfaces
Toshiyuki Abe, Kiyokazu Nagatomo
We study conformal blocks (the space of correlation functions) over compact Riemann surfaces associated to vertex operator algebras which are the sum of highest weight modules for…
Quasi-modular forms and trace functions associated to free boson and lattice vertex operator algebras
Chongying Dong, Geoffrey Mason, Kiyokazu Nagatomo
We study graded traces of vectors in free bosonic vertex operator algebras and lattice vertex operator algebras. We show in particular that trace functions in these two theories al…
Classification of irreducible modules for the vertex operator algebra M(1)^+, II: higher rank
Chongying Dong, Kiyokazu Nagatomo
The vertex operator algebra M(1)^+ is the fixed point set of free bosonic vertex operator algebra M(1) under the -1 automorphism. All irreducible modules for M(1)^+ are classified…
Automorphism Groups and Twisted Modules for Lattice Vertex Operator Algebras
Chongying Dong, Kiyokazu Nagatomo
We give a complete description of the full automorphism group of a lattice vertex operator algebra, determine the twisted Zhu's algebra for the automorphism lifted from the -1 isom…