66 Citations
Parafermion vertex operator algebras
- Mathematics
- 2011
This paper reviews some recent results on the parafermion vertex operator algebra associated to the integrable highest weight module L(k, 0) of positive integer level k for any affine Kac-Moody Lie…
Sigma involutions associated with parafermion vertex operator algebra
- MathematicsLinear and Multilinear Algebra
- 2021
An irreducible module for the parafermion vertex operator algebraK(sl2, k) is said to be of σ-type if an automorphism of the fusion algebra of K(sl2, k) of order k is trivial on it. For any integer k…
Universal two-parameter even spin W∞-algebra
- MathematicsAdvances in Mathematics
- 2019
A level-rank duality for parafermion vertex operator algebras of type A
- Mathematics
- 2014
We show that the tensor product of the parafermion vertex operator algebras K(slk+1, n + 1) ⊗ K(sln+1, k + 1) can be embedded as a full subVOA into the lattice VOA VAn⊗Ak . The decomposition of…
Representations of Z2-orbifold of the parafermion vertex operator algebra K(sl2,k)
- MathematicsJournal of Algebra
- 2019
The structure of parafermion vertex operator algebras K(osp(1|2n),k)
- MathematicsJournal of Algebra
- 2021
Vertex algebras of CohFT-type
- Mathematics
- 2019
Representations of certain vertex algebras, here called of CohFT-type, can be used to construct vector bundles of coinvariants and conformal blocks on moduli spaces of stable curves [DGT2]. We show…
Parafermion vertex operator algebras and $W$-algebras
- MathematicsTransactions of the American Mathematical Society
- 2018
We prove the conjectual isomorphism between the level $k$ $\widehat{sl}_2$-parafermion vertex operator algebra and the $(k+1,k+2)$ minimal series $W_k$-algebra for all integers $k \ge 2$. As a…
SCHUR–WEYL DUALITY FOR HEISENBERG COSETS
- MathematicsTransformation Groups
- 2018
Let V be a simple vertex operator algebra containing a rank n Heisenberg vertex algebra H and let C = Com(H;V) be the coset of H in V. Assuming that the module categories of interest are vertex…
References
SHOWING 1-10 OF 31 REFERENCES
Z3 symmetry and W3 algebra in lattice vertex operator algebras
- Mathematics
- 2004
The W 3 algebra of central charge 6/5 is realized as a sub-algebra of the vertex operator algebra V√ 2A2 associated with a lattice of type √2A 2 by using both coset construction and orbifold theory.…
Simple currents and extensions of vertex operator algebras
- Mathematics
- 1995
We consider how a vertex operator algebra can be extended to an abelian interwining algebra by a family of weak twisted modules which aresimple currents associated with semisimple weight one primary…
Vertex operator algebras associated to representations of affine and Virasoro Algebras
- Mathematics
- 1992
The first construction of the integrable highest-weight representations of affine Lie algebras or loop algebras by Kac i-K] was greatly inspired by the generalization of the Weyl denominator formula…
Z_3 symmetry and W_3 algebra in lattice vertex operator algebras
- Mathematics
- 2003
The W_3 algebra of central charge 6/5 is realized as a subalgebra of the vertex operator algebra V_{\sqrt{2}A_2} associated with a lattice of type \sqrt{2}A_2 by using both coset construction and…
Norton's Trace Formulae for the Griess Algebra¶of a Vertex Operator Algebra with Larger Symmetry
- Mathematics
- 2001
Abstract: Formulae expressing the trace of the composition of several (up to five) adjoint actions of elements of the Griess algebra of a vertex operator algebra are derived under certain assumptions…
Coset Realization of Unifying { w} Algebras
- Mathematics
- 1994
We construct several quantum coset W-algebras, e.g. d sl(2,IR)/ d U(1) and d sl(2,IR)⊕ d sl(2,IR)/ d sl(2,IR), and argue that they are finitely nonfreely generated. Furthermore, we discuss in detail…
Rationality of Virasoro Vertex Operator Algebras Weiqiang Wang
- Mathematics
- 1993
Vertex operator algebras (VOA) were introduced by Borcherds ( [B] ) as an axiomatic description of the ‘holomorphic part’ of a conformal field theory ( [BPZ] ). An account of the theory of vertex…
Modular invariance of characters of vertex operator algebras
- Mathematics
- 1995
In contrast with the finite dimensional case, one of the distinguished features in the theory of infinite dimensional Lie algebras is the modular invariance of the characters of certain…