74 citations · 180 across the 8 of their papers we have counts for
8 papers
On a formula of spin sums, Eisenstein-Kronecker series in higher genus Riemann surfaces
A. G. Tsuchiya
We discuss a decomposition formula of simple products of fermion correlation functions with cyclic constrains and its applications to spin sums of super string amplitudes. Based on…
On the extended W-algebra of type sl_2 at positive rational level
Akihiro Tsuchiya, Simon Wood
The extended W-algebra of type sl_2 at positive rational level, denoted by M_{p_+,p_-}, is a vertex operator algebra that was originally proposed in [1]. This vertex operator algeb…
The tensor structure on the representation category of the triplet algebra
Akihiro Tsuchiya, Simon Wood
We study the braided monoidal structure that the fusion product induces on the abelian category -mod, the category of representations of the triplet -algebra $\ma…
The Triplet Vertex Operator Algebra W(p) and the Restricted Quantum Group at Root of Unity
K. Nagatomo, A. Tsuchiya
We prove the abelian category of the modules over triplet VOA W(p) is category equivalent to the abelian category of the modules over quantum algebra of type sl_2 at root of unity.
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…