Quantum Kramers-Wannier Duality And Its Topology
High Energy Physics - Theory
2009-10-31 v2 Condensed Matter
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9803201,
title = {Quantum Kramers-Wannier Duality And Its Topology},
author = {Pavol Severa},
journal= {arXiv preprint arXiv:hep-th/9803201},
year = {2009}
}
Comments
LaTex, 16 pages, 18 figures