T. Abe

activity

19992005

most citedA Z_2-orbifold model of the symplectic fermionic vertex operator superalgebra

15 citations · 15 across the 3 of their papers we have counts for

collaborators

8 papers

math.QA2005★ 15 cited

A Z_2-orbifold model of the symplectic fermionic vertex operator superalgebra

Toshiyuki Abe

We construct an irrational C_2-cofinite vertex operator algebra associatted to a finite dimensional vector space with a nondegenerate skew-symmetric bilinear form. We also classify…

math.QA2003

Rationality of the vertex operator algebra $V_{L}^{+}$ for a positive definite even lattice $L$

Toshiyuki Abe

The lattice vertex operator algebra $V_{L}$ associated to a positive definite even lattice $L$ has an automorphism of order 2 lifted from -1-isometry of $L$ . We prove that for the fi…

math.QA2003

Fusion rules for the vertex operator algebras M(1)^+ and V_L^+

T. Abe, C. Dong, H. Li

The fusion rules for the vertex operator algebras M(1)^+ (of any rank) and V_L^+ (for any positive definite even lattice L) are determined completely.

math.QA2002

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…

math.QA2002

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…

math.QA2001

The charge conjugation orbifold $V_{Z α}^{+}$ is rational when $< α, α > /2$ is prime

Toshiyuki Abe

We prove that the vertex operator algebra $V_{Z α}^{+}$ is rational if $< α, α > /2$ is a prime integer.

A Z_2-orbifold model of the symplectic fermionic vertex operator superalgebra

Rationality of the vertex operator algebra VL+​ for a positive definite even lattice L

Fusion rules for the vertex operator algebras M(1)^+ and V_L^+

Rationality, Regularity, and C_2-cofiniteness

Finiteness of conformal blocks over compact Riemann surfaces

The charge conjugation orbifold VZα+​ is rational when <α,α>/2 is prime

Rationality of the vertex operator algebra $V_{L}^{+}$ for a positive definite even lattice $L$

The charge conjugation orbifold $V_{Z α}^{+}$ is rational when $< α, α > /2$ is prime