Results 11 to 20 of about 38 (38)
A construction of some ideals in affine vertex algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 971-980, 2003., 2003 We study ideals generated by singular vectors in vertex operator algebras associated with representations of affine Lie algebras of types A and C. We find new explicit formulas for singular vectors in these vertex operator algebras at integer and half‐integer levels.
Dražen AdamoviĆ
wiley +1 more source
THE MOONSHINE MODULE FOR CONWAY’S GROUP
Forum of Mathematics, Sigma, 2015 We exhibit an action of Conway’s group – the automorphism group of the Leech lattice – on a distinguished super vertex operator algebra, and we prove that the associated graded trace functions are normalized principal moduli, all having vanishing ...
JOHN F. R. DUNCAN, SANDER MACK-CRANE
doaj +1 more source
Modules and generalizations of Joyce vertex algebras
Forum of Mathematics, SigmaJoyce vertex algebras are vertex algebra structures defined on the homology of certain double struck upper C $\mathbb {C}$ C -linear moduli stacks, and are used to express wall-crossing formulae for Joyce’s homological enumerative invariants.
Chenjing Bu
doaj +1 more source
Rigorous results for timelike liouville field theory
Forum of Mathematics, SigmaLiouville field theory has long been a cornerstone of two-dimensional quantum field theory and quantum gravity, which has attracted much recent attention in the mathematics literature.
Sourav Chatterjee
doaj +1 more source
Measures and generalizations of dual Littlewood identities
Forum of Mathematics, SigmaWe introduce three families of vectors |λ―so⟩ $|\underline {\lambda }^{so}\rangle $ vertical bar lamda underbar Superscript s o Baseline right angle bracket , |λ―sp⟩ $|\underline {\lambda }^{sp}\rangle $ vertical bar lamda underbar Superscript s
Zhongren Cai +4 more
doaj +1 more source
Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
Forum of Mathematics, SigmaWe 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 +2 more
doaj +1 more source
Nuclear Physics BWe 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
On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
, 2005 . We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same.
Michael Roitman Communicated, E Zelmanov
core
Plethysms, replicated Schur functions and series, with applications to vertex operators
, 2010 Specializations of Schur functions are exploited to define and evaluate the Schur functions sλ[αX] and plethysms sλ[αsν(X))] for any α—integer, real or complex.
King, RC (15505076) +2 more
core
The large N limit of orbifold vertex operator algebras. [PDF]
Lett Math Phys, 2021 Gemünden T, Keller CA.
europepmc +1 more source