Two-dimensional conformal models of space-time and their compactification

DOI10.1063/1.2747722zbMath1144.81368arXivmath-ph/0611053OpenAlexW3104452168MaRDI QIDQ3529815

G.V.P.Khmelevskaya

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0611053

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Analogues of general relativity in lower dimensions (83C80)

Related Items (9)

The groups of two by two matrices in double and dual numbers, and associated Möbius transformations ⋮ Introduction to hybrid numbers ⋮ Holographic coordinates ⋮ Induced representations and hypercomplex numbers ⋮ Clifford Algebras with Induced (Semi)-Riemannian Structures and Their Compactifications ⋮ Hypercomplex representations of the Heisenberg group and mechanics ⋮ Conformal Parametrisation of Loxodromes by Triples of Circles ⋮ Projective compactification of \(\mathbb R^{1,1}\) and its Möbius geometry ⋮ An extension of Mobius--Lie geometry with conformal ensembles of cycles and its implementation in a GiNaC library

Uses Software

• GiNaC-cycle

Cites Work

• Fillmore-Springer-Cnops construction implemented in GiNaC
• Conformal symmetries of spacetimes
• Conformal compactification of spacetimes
• Analysis in or the principal function theory
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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