Results 11 to 20 of about 16,231 (186)
DG Poisson algebra and its universal enveloping algebra [PDF]
Science China Mathematics, 2016 Accepted by Science China ...
Lü, Jiafeng +2 more
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Carrollian and Galilean conformal higher-spin algebras in any dimensions
Journal of High Energy Physics, 2022 We present higher-spin algebras containing a Poincaré subalgebra and with the same set of generators as the Lie algebras that are relevant to Vasiliev’s equations in any space-time dimension D ≥ 3. Given these properties, they can be considered either as
Andrea Campoleoni, Simon Pekar
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Hodge decomposition of string topology
Forum of Mathematics, Sigma, 2021 Let X be a simply connected closed oriented manifold of rationally elliptic homotopy type. We prove that the string topology bracket on the $S^1$-equivariant homology $ {\overline {\text {H}}}_\ast ^{S^1}({\mathcal {L}} X,{\mathbb {Q}}) $ of the free ...
Yuri Berest +2 more
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Chern-Simons perturbative series revisited
Physics Letters B, 2021 A group-theoretical structure in a perturbative expansion of the Wilson loops in the 3d Chern-Simons theory with SU(N) gauge group is studied in symmetric approach.
E. Lanina, A. Sleptsov, N. Tselousov
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On light-like deformations of the Poincaré algebra
European Physical Journal C: Particles and Fields, 2019 We investigate the observational consequences of the light-like deformations of the Poincaré algebra induced by the jordanian and the extended jordanian classes of Drinfel’d twists.
Zhanna Kuznetsova, Francesco Toppan
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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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Enveloping algebras of Malcev algebras [PDF]
, 2010 We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both ...
Bremner, Murray R. +4 more
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Colored quantum universal enveloping algebras [PDF]
Journal of Mathematical Physics, 1997 We define some new algebraic structures, termed colored Hopf algebras, by combining the coalgebra structures and antipodes of a standard Hopf algebra set ℋ, corresponding to some parameter set 𝒬, with the transformations of an algebra isomorphism group 𝒢, herein called color group.
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The q-Higgs and Askey–Wilson algebras
Nuclear Physics B, 2019 A q-analogue of the Higgs algebra, which describes the symmetry properties of the harmonic oscillator on the 2-sphere, is obtained as the commutant of the oq1/2(2)⊕oq1/2(2) subalgebra of oq1/2(4) in the q-oscillator representation of the quantized ...
Luc Frappat +3 more
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Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian
Journal of High Energy Physics, 2018 The universal enveloping algebra of W $$ \mathcal{W} $$ 1+∞ is isomorphic to the affine Yangian of g l 1 $$ \mathfrak{g}{\mathfrak{l}}_1 $$ . We study the N $$ \mathcal{N} $$ = 2 supersymmetric version of this correspondence, and identify the full set of
Matthias R. Gaberdiel +2 more
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