Integral metaplectic modular categories Academic Article

abstract

• A braided fusion category is said to have Property F if the associated braid group representations factor through a finite group. We verify integral metaplectic modular categories have property F by showing these categories are group-theoretical. For the special case of integral categories [Formula: see text] with the fusion rules of [Formula: see text] we determine the finite group [Formula: see text] for which [Formula: see text] is braided equivalent to [Formula: see text]. In addition, we determine the associated classical link invariant, an evaluation of the 2-variable Kauffman polynomial at a point.

authors

• Rowell, Eric

published proceedings

• JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

author list (cited authors)

• Deaton, A., Gustafson, P., Mavrakis, L., Rowell, E. C., Poltoratski, S., Timmerman, S., Warren, B., & Zhang, Q.

citation count

• 1

complete list of authors

• Deaton, Adam||Gustafson, Paul||Mavrakis, Leslie||Rowell, Eric C||Poltoratski, Sasha||Timmerman, Sydney||Warren, Benjamin||Zhang, Qing

publication date

• April 2020

publisher

• World Scientific Publishing  Publisher

published in

• Journal of Knot Theory and Its Ramifications  Journal

keywords

• Braid Group Representation
• Group-theoretical Braided Fusion Category
• Link Invariant
• Property F

Digital Object Identifier (DOI)

• 10.1142/S0218216520500327

start page

• 2050032

end page

• 2050032

volume

• 29

issue

• 5

URL

• http://dx.doi.org/10.1142/s0218216520500327