Twistor quantization of the space of half-differentiable vector functions on the circle revisited

  • Armen Sergeev


We discuss the twistor quantization problem for the classical system (V d ,A d ), represented by the phase space V d , identified with the Sobolev space H 0 1/2 (S 1,ℝ d ) of half-differentiable vector functions on the circle, and the algebra of observables A d , identified with the semi-direct product of the Heisenberg algebra of V d and the algebra Vect(S 1) of tangent vector fields on the circle.


twistor quantization Sobolev space of half-differentiable functions group of diffeomorphisms of the circle 


58E20 53C28 32L25 


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Copyright information

© Science in China Press and Springer Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of Mathematical PhysicsSteklov Mathematical InstituteMoscowRussia

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