Results 11 to 20 of about 477 (51)

New modular form identities associated to generalized vertex operator algebras

, 2015
New identities appearing from consideration of higher genus characters for generalized vertex operator algebras with a formal VOSA parameter associated to a local coordinate on a self-sewn Riemann surface are considered.
A. Zuevsky
semanticscholar   +1 more source

Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A [PDF]

, 2007
Let $L(-{1/2}(l+1),0)$ be the simple vertex operator algebra associated to an affine Lie algebra of type $A_{l}^{(1)}$ with the lowest admissible half-integer level $-{1/2}(l+1)$, for even l. We study the category of weak modules for that vertex operator
Perse, Ozren
core   +4 more sources

Sugawara and vertex operator constructions for deformed Virasoro algebras [PDF]

, 2006
From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras.
Arnaudon, D., Avan, J., Frappat, L., Ragoucy, E., Shiraishi, J.   +4 more
core   +2 more sources

Z-graded weak modules and regularity

, 2011
It is proved that if any Z-graded weak module for vertex operator algebra V is completely reducible, then V is rational and C_2-cofinite. That is, V is regular.
C. Dong, C. Dong, C. Dong, C. Dong, C. Dong, C. Dong, Chongying Dong, H. Li, I. Frenkel, I. Frenkel, I. Frenkel, M. Karel, M. Miyamoto, Nina Yu, R. Borcherds, T. Abe, T. Abe, T. Abe, W. Wang, Y. Huang, Y. Zhu   +20 more
core   +1 more source

A holomorphic vertex operator algebra of central charge $24$ whose weight one Lie algebra has type $A_{6,7}$

, 2016
In this article, we describe a construction of a holomorphic vertex operator algebras of central charge $24$ whose weight one Lie algebra has type $A_{6,7}$.Comment: 11 ...
Lam, Ching Hung, Shimakura, Hiroki
core   +1 more source

On primitive axial algebras of Jordan type

, 2017
In this note we give an overview of our knowledge regarding primitive axial algebras of Jordan type half and connections between $3$-transposition groups and Matsuo algebras.
Hall, Jonathan I., Segev, Yoav, Shpectorov, Sergey   +2 more
core   +1 more source

Vertex operators, Weyl determinant formulae and Littlewood duality

, 2014
Vertex operator realizations of symplectic and orthogonal Schur functions are studied and expanded. New proofs of determinant identities of irreducible characters for the symplectic and orthogonal groups are given. We also give a new proof of the duality
Jing, Naihuan, Nie, Benzhi
core   +1 more source

Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras

Forum of Mathematics, Sigma
We develop techniques to construct isomorphisms between simple affine W-algebras and affine vertex algebras at admissible levels. We then apply these techniques to obtain many new, and conjecturally all, admissible collapsing levels for affine W-algebras.
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau   +2 more
doaj   +1 more source

Homotopy Relations for Topological VOA

, 2012
We consider a parameter-dependent version of the homotopy associative part of the Lian-Zuckerman homotopy algebra and provide the interpretation of multilinear operations of this algebra in terms of integrals over certain polytopes.
ANTON M. ZEITLIN, Frenkel E., Galves I., Herbst M., Huang Y.-Z., Markl M., Zeitlin A. M., Zeitlin A. M., Zeitlin A. M., Zeitlin A. M.   +9 more
core   +1 more source

Gauge invariant and generic formulation of magnetic translations and so(3,1) Curtright-zachos generators

Nuclear Physics B
We propose a gauge-invariant formulation of magnetic translation (GMT) operators, eliminating the gauge dependence that conventional definitions suffer from due to specific gauge choices.
Haru-Tada Sato
doaj   +1 more source