Holographic chiral algebra: supersymmetry, infinite Ward identities, and EFTs
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2022)113
Abstract: Celestial holography promisingly reformulates the scattering amplitude holographically in terms of celestial conformal field theory living at null infinity. Recently, an infinite-dimensional symmetry algebra was discovered in Einstein-Yang-Mills theory. The starting point in the derivation… read more here.
Keywords: algebra; symmetry; sub leading; ward identities ... See more keywords
Plane partition realization of (web of) W$$ \mathcal{W} $$-algebra minimal models
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2019)050
Abstract: A bstractRecently, Gaiotto and Rapčák (GR) proposed a new family of the vertex operator algebra (VOA) as the symmetry appearing at an intersection of five-branes to which they refer as Y algebra. Procházka and Rapčák,… read more here.
Keywords: partition realization; web mathcal; realization web; algebra ... See more keywords
Equivariant U(N) Verlinde algebra from Bethe/gauge correspondence
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2019)097
Abstract: A bstractWe compute the topological partition function (twisted index) of N$$ \mathcal{N} $$ = 2 U(N) Chern-Simons theory with an adjoint chiral multiplet on Σg × S1. The localization technique shows that the underlying Frobenius… read more here.
Keywords: equivariant verlinde; verlinde algebra; bethe gauge; algebra ... See more keywords
On stabilization of Maxwell-BMS algebra
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2020)073
Abstract: In this work we present different infinite dimensional algebras which appear as deformations of the asymptotic symmetry of the three-dimensional Chern-Simons gravity for the Maxwell algebra. We study rigidity and stability of the infinite dimensional… read more here.
Keywords: bms; maxwell bms; bms algebra; algebra ... See more keywords
VOAs labelled by complex reflection groups and 4d SCFTs
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep05(2019)155
Abstract: A bstractWe define and study a class of N$$ \mathcal{N} $$ = 2 vertex operator algebras WG$$ {\mathcal{W}}_{\mathrm{G}} $$ labelled by complex reflection groups. They are extensions of the N$$ \mathcal{N} $$ = 2 super… read more here.
Keywords: complex reflection; algebra; mathcal mathrm; reflection ... See more keywords
On the structure of quantum L∞ algebras
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2017)163
Abstract: A bstractIt is believed that any classical gauge symmetry gives rise to an L∞ algebra. Based on the recently realized relation between classical W$$ \mathcal{W} $$ algebras and L∞ algebras, we analyze how this generalizes… read more here.
Keywords: structure quantum; quantum; quantum algebras; algebra ... See more keywords
Symmetries and charges of general relativity at null boundaries
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep11(2018)125
Abstract: A bstractWe study general relativity at a null boundary using the covariant phase space formalism. We define a covariant phase space and compute the algebra of symmetries at the null boundary by considering the boundary-preserving… read more here.
Keywords: algebra; relativity null; general relativity; null boundaries ... See more keywords
On Complex Representations of Clifford Algebra
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0930-3
Abstract: We show that complex representations of Clifford algebra can always be reduced either to a real or to a quaternionic algebra depending on signature of complex space thus showing that spinors are unavoidably either real… read more here.
Keywords: complex representations; representations clifford; algebra; clifford algebra ... See more keywords
Relation algebras and groups
Sign Up to like & getrecommendations! Published in 2018 at "Algebra universalis"
DOI: 10.1007/s00012-018-0505-0
Abstract: Generalizing results of Jónsson and Tarski, Maddux introduced the notion of a pair-dense relation algebra and proved that every pair-dense relation algebra is representable. The notion of a pair below the identity element is readily… read more here.
Keywords: algebra; relation algebras; relation; notion ... See more keywords
Lattices from graph associahedra and subalgebras of the Malvenuto–Reutenauer algebra
Sign Up to like & getrecommendations! Published in 2020 at "Algebra universalis"
DOI: 10.1007/s00012-020-00689-z
Abstract: The Malvenuto-Reutenauer algebra is a well-studied combinatorial Hopf algebra with a basis indexed by permutations. This algebra contains a wide variety of interesting sub Hopf algebras, in particular the Hopf algebra of plane binary trees… read more here.
Keywords: algebra; reutenauer algebra; graph associahedra; malvenuto reutenauer ... See more keywords
Projective Limit Techniques for the Infinite Dimensional Moment Problem
Sign Up to like & getrecommendations! Published in 2022 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-022-02692-6
Abstract: We deal with the following general version of the classical moment problem: when can a linear functional on a unital commutative real algebra A be represented as an integral with respect to a Radon measure… read more here.
Keywords: moment problem; algebra; projective limit; problem ... See more keywords