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Physics of Particles and Nuclei Letters

, Volume 11, Issue 7, pp 904–909 | Cite as

Quantization of universal Teichmüller space

  • Armen Sergeev
Article
  • 16 Downloads

Abstract

Universal Teichmüller space Open image in new window is the quotient of the group QS(S 1) of quasisymmetric homeomorphisms of S 1 modulo Möbius transformations. The quantization problem for Open image in new window arises in the theory of non-smooth closed bosonic strings. Because of non-smoothness of strings the natural QS(S 1)-action on Open image in new window is also not smooth so there is no classical Lie algebra, associated to QS(S 1). However, using methods of non-commutative geometry, we can define a quantum Lie algebra of observables Der q (QS), yielding the quantization of Open image in new window .

Keywords

Nucleus Letter Group Diff Classical Observable Hamiltonian Vector Field Connes Quantization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteMoscowRussia

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