WebMar 8, 2024 · In turn, fusion categories yield TQFTs and associated quantum invariants for links and 3-manifolds. In quantum many body physics, unitary modular tensor categories have recently risen to prominence as a means to describe the topological order of (2+1)D topological phases of matter, whose ground state manifolds are described by TQFTs. ... WebMay 19, 2009 · Abstract. Let C be a fusion category faithfully graded by a finite group G and let D be the trivial component of this grading. The center Z (C) of C is shown to be canonically equivalent to a G ...
ct.category theory - The fusion categories with a strict skeleton ...
WebJul 1, 2004 · The fusion system F on a defect group P of a block b of a finite group G over a suitable p-adic ring O does not in general determine the number l(b) of isomorphism classes of simple modules of the block.We show that conjecturally the missing information should be encoded in a single second cohomology class α of the constant functor with value k × on … WebApr 13, 2024 · News Category. Fusion roadmapping. PPPL, on Princeton University's Forrestal Campus in Plainsboro, N.J., is devoted to creating new knowledge about the physics of plasmas — ultra-hot, charged gases — and to developing practical solutions for the creation of fusion energy. The Laboratory is managed by the University for the U.S. … top 200 tv shows
Morita equivalence methods in classification of fusion categories
WebFusion. This Category increases drops on these events. This Category has extra benefits on these events. Consists of Fusion Dance and EX-Fusion characters. *Disclosure: … WebJun 23, 2024 · Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond. We study generalized symmetries of quantum field theories in 1+1D generated by topological defect lines with no inverse. This paper follows our companion paper on gapped phases and anomalies associated with these symmetries. In the present work we focus on identifying … WebThe problem of classification of all fusion categories seems to be very difficult. A basic invariant of a fusion category C is its Grothendieck ring K (C) (physically, fusion rules algebra or fusion ring) which is a unital based ring in the sense of [].It is known that for a given based ring K there are only finitely many fusion categories C with K (C) = K (this … pick kitchen