Alexei Davydov, Michael Mueger, Dmitri Nikshych, Victor Ostrik
Published 2010-09-10, updated 2011-09-06Version 2
We give a characterization of Drinfeld centers of fusion categories as non-degenerate braided fusion categories containing a Lagrangian algebra. Further we study the quotient of the monoid of non-degenerate braided fusion categories modulo the submonoid of the Drinfeld centers and show that its formal properties are similar to those of the classical Witt group.
Comments: 37 pages; many improvements in exposition thanks to the referee suggestions; new section 3.6; new remarks 3.2, 4.12, 5.2, 5.29
Classification of $\mathfrak{sl}_3$ relations in the Witt group of nondegenerate braided fusion categories
Higher central charges and Witt groups
Conformal Net Realizability of Tambara-Yamagami Categories and Generalized Metaplectic Modular Categories
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