Skein quantization of Poisson algebras of loops on surfaces
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Vladimir G. Turaev (1991)
Annales scientifiques de l'École Normale Supérieure
Izquierdo, Alberto Alonso, León, Miguel Ángel González, De La Torre Mayado, Marina (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Corrigan, E. (1985)
Proceedings of the Winter School "Geometry and Physics"
Victor G. Kac, J. W. Van de Leur (1987)
Annales de l'institut Fourier
We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex operator constructions...
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