Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\)
From MaRDI portal
Publication:1297684
DOI10.1007/s002200050574zbMath1014.46042arXivmath/9803044OpenAlexW1964731051MaRDI QIDQ1297684
Uffe Haagerup, Johanna Bapt. Marta Asaeda OSB
Publication date: 24 July 2003
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9803044
Axiomatic quantum field theory; operator algebras (81T05) Subfactors and their classification (46L37)
Related Items
Singly generated planar algebras of small dimension. II. ⋮ Topological field theory with Haagerup symmetry ⋮ The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ On Haagerup's list of potential principal graphs of subfactors ⋮ The little desert? Some subfactors with index in the interval $(5, 3+\sqrt{5})$ ⋮ On Galois theory from subfactors ⋮ Ore's theorem on cyclic subfactor planar algebras and beyond ⋮ Unnamed Item ⋮ Modular data for the extended Haagerup subfactor ⋮ Singly generated planar algebras of small dimension, Part III ⋮ Subfactors and mathematical physics ⋮ Projector matrix product operators, anyons and higher relative commutants of subfactors ⋮ A remark on matrix product operator algebras, anyons and subfactors ⋮ Asymptotic density of states in 2d CFTs with non-invertible symmetries ⋮ Generalized non-unitary Haagerup-Izumi modular data from 3D S-fold SCFTs ⋮ Subfactors of index less than 5. I: The principal graph odometer ⋮ Bergman space zero sets, modular forms, von Neumann algebras and ordered groups ⋮ Quantum subgroups of the Haagerup fusion categories ⋮ Quantum groups -- algebra, analysis and category theory. Abstracts from the workshop held September 12--18, 2021 (hybrid meeting) ⋮ CLASSIFICATION OF NONCOMMUTING QUADRILATERALS OF FACTORS ⋮ Drinfeld centers of fusion categories arising from generalized Haagerup subfactors ⋮ The planar algebra of a fixed point subfactor ⋮ Principal graph stability and the jellyfish algorithm ⋮ Scale invariant transfer matrices and Hamiltionians ⋮ The exoticness and realisability of twisted Haagerup--Izumi modular data ⋮ Near-group fusion categories and their doubles ⋮ SUBFACTORS OF INDEX LESS THAN 5, PART 2: TRIPLE POINTS ⋮ SUBFACTORS OF INDEX LESS THAN 5, PART 4: VINES ⋮ SUBFACTOR REALIZATION OF MODULAR INVARIANTS: II ⋮ 2-supertransitive subfactors at index \(3 + \sqrt{5}\) ⋮ Some unitary representations of Thompson's groups \(F\) and \(T\) ⋮ The classification of subfactors of index at most 5 ⋮ Non-unitary fusion categories and their doubles via endomorphisms ⋮ Categories generated by a trivalent vertex ⋮ Chirality and principal graph obstructions ⋮ Cyclotomic integers, fusion categories, and subfactors ⋮ Subfactors of index less than 5. III: Quadruple points ⋮ An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem ⋮ 1-supertransitive subfactors with index at most \(6\frac{1}{5}\) ⋮ From operator algebras to superconformal field theory ⋮ A quadrilateral in the Asaeda-Haagerup category ⋮ On the Jones index values for conformal subnets ⋮ A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP SUBFACTOR ⋮ Ergodic actions of \(S_\mu U(2)\) on \(C^{*}\)-algebras from \(II_{1}\) subfactors ⋮ Constructing the extended Haagerup planar algebra ⋮ Quadratic tangles in planar algebras ⋮ On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams ⋮ A rigidity result for extensions of braided tensor \(C^*\)-categories derived from compact matrix quantum groups ⋮ The Brauer-Picard group of the Asaeda-Haagerup fusion categories ⋮ ON EXOTIC MODULAR TENSOR CATEGORIES ⋮ The Asaeda-Haagerup fusion categories ⋮ On the origin and development of subfactors and quantum topology ⋮ Quantum Galois correspondence for subfactors ⋮ Fusion categories associated with subfactors with index $3 + sqrt{5}$ ⋮ Exchange relation planar algebras of small rank ⋮ Automorphisms of subfactors from commuting squares ⋮ Computations of Turaev-Viro-Ocneanu Invariants of 3-Manifolds from Subfactors ⋮ Non-cyclotomic fusion categories ⋮ Subfactors of index exactly 5 ⋮ Construction of two-dimensional topological field theories with non-invertible symmetries ⋮ GALOIS GROUPS AND AN OBSTRUCTION TO PRINCIPAL GRAPHS OF SUBFACTORS ⋮ Composed inclusions of \(A_3\) and \(A_4\) subfactors ⋮ Weak amenability for subfactors ⋮ Cyclic extensions of fusion categories via the Brauer-Picard groupoid ⋮ Planar depth and planar subalgebras
