Twistor quantization of the space of half-differentiable vector functions on the circle revisited |
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Authors: | Armen Sergeev |
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Institution: | (3) Inst. Sci. Comput. Dept. Math. Techn. Univ. Dresden, Dresden, Germany; |
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Abstract: | 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
01/2 (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. |
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Keywords: | |
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