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Communication Dans Un Congrès Année : 2019

Construction of meta-conformal algebras in $d$ spatial dimensions

S. Stoimenov
  • Fonction : Auteur
M. Henkel

Résumé

Meta-conformal transformations of (1+d)-dimensional time-space are constructed as dynamical symmetries of the linear transport equation. They are a new kind of representations of the conformal Lie algebra for d = 1, while for d>1 their Lie algebra has a different structure. For d = 2 space dimensions, representations of infinite-dimensional meta-conformal Lie algebras can be constructed. These Lie algebras are isomorphic to the direct sum of three Virasoro algebras. Co-variant two-point correlators are derived and possible physical applications are discussed.
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Dates et versions

hal-02066976 , version 1 (13-03-2019)

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S. Stoimenov, M. Henkel. Construction of meta-conformal algebras in $d$ spatial dimensions. 10th Jubilee International Physics Conference of the Balkan Physical Union, Aug 2018, Sofia, Bulgaria. pp.090026, ⟨10.1063/1.5091240⟩. ⟨hal-02066976⟩
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