159 citations · 1.1k across the 61 of their papers we have counts for
66 papers
On Haagerup-Izumi fusion categories
Terry Gannon, Andrew Schopieray, Harshit Yadav
For every odd , we construct a Haagerup-Izumi (HI) category for , using Barnes double-sine functions. Equivariantization gives near-group categories of type $((\mat…
Exotic quantum subgroups and extensions of affine Lie algebra VOAs -- part I
Terry Gannon
Prototypical rational vertex operator algebras are associated to affine Lie algebras at positive integer level k. They correspond physically to the Wess-Zumino-Witten theories, and…
Quantum SL(2) and logarithmic vertex operator algebras at (p,1)-central charge
Terry Gannon, Cris Negron
We provide a ribbon tensor equivalence between the representation category of small quantum SL(2), at parameter q=exp( i/p), and the representation category of the triplet verte…
Tambara-Yamagami, loop groups, bundles and KK-theory
David E Evans, Terry Gannon
This paper is part of a sequence interpreting quantities of conformal field theories K-theoretically. Here we give geometric constructions of the associated module categories (modu…
Modular Exercises for Four-Point Blocks -- I
Miranda C. N. Cheng, Terry Gannon, Guglielmo Lockhart
The well-known modular property of the torus characters and torus partition functions of (rational) vertex operator algebras (VOAs) and 2d conformal field theories (CFTs) has been…
Algebraic number fields generated by Frobenius-Perron dimensions in fusion rings
Terry Gannon, Andrew Schopieray
From a unifying lemma concerning fusion rings, we prove a collection of number-theoretic results about fusion, braided, and modular tensor categories. First, we prove that every fu…