Quantization of the theory of half-differentiable strings

DOI10.1134/S0040577920050050zbMath1445.81047OpenAlexW3031265146MaRDI QIDQ2193729

Armen Glebovich Sergeev

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577920050050

zbMATH Keywords

string theoryuniversal Teichmüller spaceConnes quantizationquasisymmetric homeomorphism

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Noncommutative geometry (à la Connes) (58B34) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Projective unitary positive-energy representations of \(Diff(S^ 1)\)
• Unitary representations of some infinite dimensional groups
• Ordinary differential equations and quasiconformal mappings
• Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle

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