String theory and quasiconformal maps

DOI10.1134/S1995080217020184zbMath1370.81148MaRDI QIDQ2357045

Armen Glebovich Sergeev

Publication date: 16 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

quantizationloop spacesquasisymmetric homeomorphismsSobolev space of half-differentiable functions

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 methods in quantum field theory (81T75) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Symplectic field theory; contact homology (53D42)

Related Items (1)

Hamiltonian operators with zero-divergence constraints

Cites Work

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• Kähler geometry of loop spaces
• Projective unitary positive-energy representations of \(Diff(S^ 1)\)
• Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle

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