Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras
Journal of Physics A: Mathematical and Theoretical, 2023 Abstract Starting from a purely algebraic procedure based on the commutant of a subalgebra in the universal enveloping algebra of a given Lie algebra, the notion of algebraic Hamiltonians and the constants of the motion generating a polynomial symmetry algebra is proposed. The case of the special linear Lie algebra
Rutwig Campoamor-Stursberg +3 more
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Algebras, traces, and boundary correlators in N $$ \mathcal{N} $$ = 4 SYM
Journal of High Energy Physics, 2021 We study supersymmetric sectors at half-BPS boundaries and interfaces in the 4d N $$ \mathcal{N} $$ = 4 super Yang-Mills with the gauge group G, which are described by associative algebras equipped with twisted traces.
Mykola Dedushenko, Davide Gaiotto
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Gradings, Braidings, Representations, Paraparticles: Some Open Problems
Axioms, 2012 A research proposal on the algebraic structure, the representations and the possible applications of paraparticle algebras is structured in three modules: The first part stems from an attempt to classify the inequivalent gradings and braided group ...
Konstantinos Kanakoglou
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Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]
Commun Math Phys, 2023 Beem C, Nair S.
europepmc +1 more source
SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions. [PDF]
J High Energy Phys, 2021 Thierry-Mieg J, Jarvis P.
europepmc +1 more source
Miura operators, degenerate fields and the M2-M5 intersection. [PDF]
J High Energy Phys, 2022 Gaiotto D, Rapčák M.
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Spacelike Singularities and Hidden Symmetries of Gravity. [PDF]
Living Rev Relativ, 2008 Henneaux M, Persson D, Spindel P.
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Capelli's theory, Koszul maps, and superalgebras. [PDF]
Proc Natl Acad Sci U S A, 1993 Brini A, Teolis AG.
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Capelli bitableaux and Z-forms of general linear Lie superalgebras. [PDF]
Proc Natl Acad Sci U S A, 1990 Brini A, Teolis AG.
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Vertex algebras, Kac-Moody algebras, and the Monster. [PDF]
Proc Natl Acad Sci U S A, 1986 Borcherds RE.
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