Fusion rules for the charge conjugation orbifold
Quantum Algebra
2007-05-23 v1
Authors:
Toshiyuki Abe
Abstract
We completely determine the fusion rules for the vertex operator algebra VL+ for a rank one even lattice L.
Cite
@article{arxiv.math/0006101,
title = {Fusion rules for the charge conjugation orbifold},
author = {Toshiyuki Abe},
journal= {arXiv preprint arXiv:math/0006101},
year = {2007}
}
Comments
33pages, LaTeX
Related papers
View all related →
Quantum Algebra · Mathematics
Fusion rules for the vertex operator algebras M(1)^+ and V_L^+
T. Abe, C. Dong, H. Li
2007-05-23
Quantum Algebra · Mathematics
Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$
Chongying Dong, Cuipo Jiang, Qifen Jiang, Xiangyu Jiao +1
2013-10-29
Quantum Algebra · Mathematics
Fusion rules of V_{L_2}^{S_4}
Junwen Liao
2026-01-06
Quantum Algebra · Mathematics
The 3-permutation orbifold of a lattice vertex operator algebra
Chonging Dong, Feng Xu, Nina Yu
2017-06-27
Quantum Algebra · Mathematics
Fusion Rules for the Lattice Vertex Operator Algebra $V_L$
Danquynh Nguyen
2019-03-13
Quantum Algebra · Mathematics
2-permutations of lattice vertex operator algebras: Higher rank
Chongying Dong, Feng Xu, Nina Yu
2016-02-19
Quantum Algebra · Mathematics
Fusion rules for the free bosonic orbifold vertex operator algebra
Toshiyuki Abe
2007-05-23
Quantum Algebra · Mathematics
Cyclic orbifolds of lattice vertex operator algebras having group like fusions
Ching Hung Lam
2020-01-08
Quantum Algebra · Mathematics
An isomorphism between the fusion algebras of $V_L^+$ and type $D^{(1)}$ level 2
Michael Cuntz, Christopher Goff
2008-10-09
Quantum Algebra · Mathematics
The automorphism groups of the vertex operator algebras $V_L^+$: general case
Hiroki Shimakura
2007-05-23
q-alg · Mathematics
Rank one lattice type vertex operator algebras and their automorphism groups
Chongying Dong, Robert L. Griess
2007-05-23
Quantum Algebra · Mathematics
Fusion rules for $\mathbb{Z}_{2}$-orbifolds of affine and parafermion vertex operator algebras
Cuipo Jiang, Qing Wang
2019-04-04
Quantum Algebra · Mathematics
The charge conjugation orbifold $V_{Z\alpha}^{+}$ is rational when $<\alpha,\alpha>/2$ is prime
Toshiyuki Abe
2007-05-23
Quantum Algebra · Mathematics
Cyclic permutations of lattice vertex operator algebras
Chongying Dong, Feng Xu, Nina Yu
2015-01-05
Quantum Algebra · Mathematics
Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions
Toshiyuki Abe, Yusuke Arike
2011-08-10
Quantum Algebra · Mathematics
The rank two lattice type vertex operator algebras V_L^+ and their automorphism groups
Chongying Dong, Robert L. Griess
2007-05-23
Quantum Algebra · Mathematics
On fusion rules and intertwining operators for the Weyl vertex algebra
Drazen Adamovic, Veronika Pedic Tomic
2022-01-14
Quantum Algebra · Mathematics
A characterization of the rational vertex operator algebra $V_{\Z\alpha}^{+}$}: II
Chongying Dong, Cuipo Jiang
2011-12-09
Quantum Algebra · Mathematics
C_2 cofiniteness of vertex operator algebra V_L^+ when L is a rank one lattice
Gaywalee Yamskulna
2007-05-23
Quantum Algebra · Mathematics
A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications
Sven Möller
2021-02-10
Quantum Algebra · Mathematics
Twisted Verlinde formula for vertex operator algebras
Chongying Dong, Xingjun Lin
2023-10-25
Quantum Algebra · Mathematics
Rationality of vertex operator algebra V_L^+: higher rank
Chongying Dong, Cuipo Jiang, Xingjun Lin
2014-02-26
Quantum Algebra · Mathematics
Fusion rules for the orbifold vertex operator algebras $L_{\widehat{\frak{sl}_2}}(k,0)^{K}$
Rabia Iqbal, Cuipo Jiang
2023-03-21
Quantum Algebra · Mathematics
Representations of vertex operator algebra V_L^+ for rank one lattice L
Chongying Dong, Kiyokazu Nagatomo
2009-10-31
Quantum Algebra · Mathematics
Rationality of the vertex operator algebra $V_L^+$ for a positive definite even lattice $L$
Toshiyuki Abe
2007-05-23