Meta-conformal algebras in d spatial dimensions

2017/11/14 by Malte Henkel, Henkel, Malte, Stoimen Stoimenov +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Geometry #Homogeneous space #Lie algebra #Lie conformal algebra #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Point (geometry) #Primary field #Pure mathematics #cond-mat.stat-mech #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1711.05062

30 pages

arxiv created 2017/11/14 · openalex publication_date 2017/11/14 · arxiv updated 2017/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Meta-conformal transformations are constructed as dynamical symmetries of the linear transport equation in d spatial dimensions. In one and two dimensions, the associated Lie algebras are infinite-dimensional and isomorphic to the direct sum of either two or three Virasoro algebras. Co-variant two-point correlators are derived and possible physical applications are discussed.

Cited by

• Infinite-dimensional meta-conformal Lie algebras in one and two spatial dimensions

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