Deformations of Symmetric Simple Modular Lie (Super)Algebras
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2023 We say that a Lie (super)algebra is ''symmetric'' if with every root (with respect to the maximal torus) it has the opposite root of the same multiplicity. Over algebraically closed fields of positive characteristics (up to 7 or 11, enough to formulate a general conjecture), we computed the cohomology corresponding to the infinitesimal deformations of ...
Pavel Grozman
exaly +4 more sources
Modular invariant representations of infinite-dimensional Lie algebras and superalgebras [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1988 Minoru Wakimoto, Víctor G Kac, V G Kac
exaly +2 more sources
Elliptic genera and characteristic q-series of superconformal field theory
Nuclear Physics B, 2015 We analyze the characteristic series, the KO series and the series associated with the Witten genus, and their analytic forms as the q-analogs of classical special functions (in particular q-analog of the beta integral and the gamma function).
L. Bonora, A.A. Bytsenko, M. Chaichian
doaj +1 more source
Vertex operator algebras, Higgs branches, and modular differential equations
Journal of High Energy Physics, 2018 Every four-dimensional N=2 $$ \mathcal{N}=2 $$ superconformal field theory comes equipped with an intricate algebraic invariant, the associated vertex operator algebra.
Christopher Beem, Leonardo Rastelli
doaj +1 more source
The Graded Modules of Lie Superalgebra S(n) Over Prime Characteristic Fields
Journal of Harbin University of Science and TechnologyThe classification of simple Lie superalgebras over prime characteristic fields has not yet been solved, and the core issue is the classification of Cartan type Lie superalgebras.
LI Yue, SUN Liping, LIU Wende
doaj +1 more source
Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]
Commun Math Phys, 2023 Beem C, Nair S.
europepmc +1 more source
Entanglement entropy and edge modes in topological string theory. Part I. Generalized entropy for closed strings. [PDF]
J High Energy Phys, 2021 Donnelly W, Jiang Y, Kim M, Wong G.
europepmc +1 more source
Converse theorems and the local Langlands correspondence in families. [PDF]
Invent Math, 2018 Helm D, Moss G.
europepmc +1 more source
Spacelike Singularities and Hidden Symmetries of Gravity. [PDF]
Living Rev Relativ, 2008 Henneaux M, Persson D, Spindel P.
europepmc +1 more source
The Kerr/CFT correspondence and its extensions. [PDF]
Living Rev Relativ, 2017 Compère G.
europepmc +1 more source