Results 1 to 10 of about 38 (38)
Forum of Mathematics, Sigma, 2023 We give a lattice theoretical interpretation of generalized deep holes of the Leech lattice VOA $V_\Lambda $ . We show that a generalized deep hole defines a ‘true’ automorphism invariant deep hole of the Leech lattice. We also show that there is a
Ching Hung Lam, Masahiko Miyamoto
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Open Mathematics, 2018 We prove new theorems related to the construction of the shallow water bi-Hamiltonian systems associated to the semi-direct product of Virasoro and affine Kac–Moody Lie algebras.
Zuevsky A.
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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
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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
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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
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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
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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
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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
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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
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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
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