Haagerup subfactor
WebJan 11, 2024 · The simplest example that requires new techniques for building a CFT is the Haagerup subfactor, since it is the smallest subfactor with index larger than 4. In this thesis, we investigate the question whether there is a CFT corresponding to the Haagerup subfactor via lattice models in one and two dimensions. The first task here is to find the … WebThe Haagerup subfactor is the smallest index finite-depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra associated to the …
Haagerup subfactor
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WebThe Haagerup subfactor is the smallest index finite depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra associated … Webdepth 6, with one exception, the principal graph of the Haagerup subfactor. A II 1 subfactor is an inclusion AˆBof in nite von Neumann algebras with trivial centre and a compatible trace with tr(1) = 1. In this setting, one can analyze the bimodules generated by AB B and BB A. The principal graph of a subfactor has as vertices the
Webfactor, now called the Haagerup subfactor (see [2] for the proof). The Haagerup subfactor is the first subfactor that is not directly related to either an ordinary group or a quantum group, and whether its Drinfeld center is related to a quantum group (conformal field theory) or not is an interesting open problem. At the time of writ- WebMar 1, 2012 · In addition to the two even parts of the Haagerup subfactor, there is exactly one more fusion category which is Morita equivalent to each of them. This third fusion category has six simple objects and the same fusion rules as one of the even parts of the Haagerup subfactor, but has not previously appeared in the literature.
WebSep 30, 2024 · Abstract. We compute the modular data (that is, the S and T matrices) for the centre of the extended Haagerup subfactor [ BMPS12 ]. The full structure (i.e., the … WebTo date, the best way of constructing these subfactors is to stumble upon a finite bipartite graph which doesn't appear as a fusion graph determine if it can be a principal …
WebJan 10, 2014 · I’ll tell you about some of the most exciting examples, including the Temperley-Lieb algebra (and its relation to knot theory), the color-counting planar algebra (and the five-color theorem), and the extended Haagerup subfactor (joint work with Bigelow, Morrison and Snyder).
Webof a subfactor N ⊂ M is given by theory of bimodules. A subfactor N ⊂ M gives a bimodule NMN. (We should actually take a Hilbert space completion of M.) We take a relative tensor power of NMN and look at irreducible N-N bimodules arising in this way. If we have only finitely many such bimodules, we say the subfactor is of finite depth. pay property tax clarksville tnWebThe Extended Haagerup subfactor has two even parts EH1 and EH2. These fusion categories are mysterious and are the only known fusion categories which appear to be unrelated to finite groups ... pay property tax clark county nvUffe Haagerup's mathematical focus has been on the fields of operator algebra, group theory and geometry, but his publications has a broad scope and also involves free probability theory and random matrices. He has participated in many international mathematical groups and networks from early on, and has worked as ordinary contributor and participator, organizer, lecturer and editor. pay property tax campbell co tnhttp://web.math.ku.dk/~haagerup/index.php?show=all pay property taxes azWebSep 26, 2012 · We construct a new subfactor planar algebra, and as a corollary a new subfactor, with the ‘extended Haagerup’ principal graph pair. This completes the … pay property tax bbmpWeb2.20 The Haagerup subfactor The Haagerup subfactor [AH99] is a finite-depth subfactor with index 5+ √ 13 2; this is the smallest index above 4 for any finite depth … scrimps urban dictionaryWebApr 1, 2024 · Request PDF On Apr 1, 2024, Markus Rüther and others published Human Enhancement: Deontological Arguments Find, read and cite all the research you need on ResearchGate scrimping too much in retirement