Quantum Kramers-Wannier Duality And Its Topology

Details Quantum Kramers-Wannier Duality And Its Topology Quantum Kramers-Wannier Duality And Its Topology

1998-03-25

arxiv.org/abs/hep-th/9803201v2

JHEP 0205 (2002) 049

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 16 pages, 18 figures

Scientific paper

10.1088/1126-6708/2002/05/049

We show for any oriented surface, possibly with a boundary, how to generalize Kramers-Wannier duality to the world of quantum groups. The generalization is motivated by quantization of Poisson-Lie T-duality from the string theory. Cohomologies with quantum coefficients are defined for surfaces and their meaning is revealed. They are functorial with respect to some glueing operations and connected with q-invariants of 3-folds.

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