Open Access
January 2012 Equivariant modular categories via Dijkgraaf–Witten theory
Jennifer Maier, Thomas Nikolaus, Christoph Schweigert
Adv. Theor. Math. Phys. 16(1): 289-358 (January 2012).


Based on a weak action of a finite group $J$ on a finite group $G$, we present a geometric construction of $J$-equivariant Dijkgraaf–Witten theory as an extended topological field theory. The construction yields an explicitly accessible class of equivariant modular tensor categories. For the action of a group $J$ on a group $G$, the category is described as the representation category of a $J$-ribbon algebra that generalizes the Drinfel’d double of the finite group $G$.


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Jennifer Maier. Thomas Nikolaus. Christoph Schweigert. "Equivariant modular categories via Dijkgraaf–Witten theory." Adv. Theor. Math. Phys. 16 (1) 289 - 358, January 2012.


Published: January 2012
First available in Project Euclid: 23 January 2013

zbMATH: 1273.81198
MathSciNet: MR3019407

Rights: Copyright © 2012 International Press of Boston

Vol.16 • No. 1 • January 2012
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