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pro vyhledávání: '"Ikhlef, Yacine"'
Autor:
Ikhlef, Yacine, Morin-Duchesne, Alexi
We propose a new family ${\sf Y}_{k,\ell,x,y,[z,w]}$ of modules over the enlarged periodic Temperley--Lieb algebra ${\sf{\cal E}PTL}_N(\beta)$. These modules are built from link states with two marked points, similarly to the modules ${\sf X}_{k,\ell
Externí odkaz:
http://arxiv.org/abs/2312.14837
Publikováno v:
JHEP 05 (2024) 236
We study the entanglement entropies of an interval for the massless compact boson either on the half line or on a finite segment, when either Dirichlet or Neumann boundary conditions are imposed. In these boundary conformal field theory models, the m
Externí odkaz:
http://arxiv.org/abs/2308.00614
We present a general method for calculating R\'enyi entropies in the ground state of a one-dimensional critical system with mixed open boundaries, for an interval starting at one of its ends. In the conformal field theory framework, this computation
Externí odkaz:
http://arxiv.org/abs/2301.02124
Publikováno v:
J. Phys. A: Math. Theor. 56, 465403(2023)
We identify the maximal chiral algebra of conformal cyclic orbifolds. In terms of this extended algebra, the orbifold is a rational and diagonal conformal field theory, provided the mother theory itself is also rational and diagonal. The operator con
Externí odkaz:
http://arxiv.org/abs/2212.07678
Publikováno v:
SciPost Phys. 12, 141 (2022)
We consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second R\'enyi entropy of an interval away from the boundary can be computed exactly, provided the same conformal boundar
Externí odkaz:
http://arxiv.org/abs/2112.01929
Autor:
Ikhlef, Yacine, Morin-Duchesne, Alexi
Publikováno v:
SciPost Phys. 12, 030 (2022)
In two-dimensional loop models, the scaling properties of critical random curves are encoded in the correlators of connectivity operators. In the dense O($n$) loop model, any such operator is naturally associated to a standard module of the periodic
Externí odkaz:
http://arxiv.org/abs/2105.10240
Publikováno v:
SciPost Phys. 10, 054 (2021)
In the presence of a conserved quantity, symmetry-resolved entanglement entropies are a refinement of the usual notion of entanglement entropy of a subsystem. For critical 1d quantum systems, it was recently shown in various contexts that these quant
Externí odkaz:
http://arxiv.org/abs/2010.10515
Autor:
Ikhlef, Yacine, Shimada, Hirohiko
Publikováno v:
J. Phys. A: Math. Theor. 53, 015203 (2020)
In generic conformal field theories with $W_3$ symmetry, we identify a primary field $\sigma$ with rational Kac indices, which produces the full $\mathbb{Z}_3$ charged and neutral sectors by the fusion processes $\sigma \times \sigma$ and $\sigma \ti
Externí odkaz:
http://arxiv.org/abs/1906.01323
The Fully-Packed Loop (FPL) model on the honeycomb lattice is a critical model of non-intersecting polygons covering the full lattice, and was introduced by Reshetikhin in 1991. Using the two-component Coulomb-Gas approach of Kondev, de Gier and Nien
Externí odkaz:
http://arxiv.org/abs/1901.02086
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