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pro vyhledávání: '"Saleur, H"'
We provide a lattice regularization of all topological defects in minimal models CFTs using RSOS and anyonic spin chains. For defects of type $(1,s)$, we connect our result with the "topological symmetry" initially identified in Fibonacci anyons [Phy
Externí odkaz:
http://arxiv.org/abs/2003.11293
Publikováno v:
Commun. Math. Phys. 400, 1203-1254 (2023)
This paper is the first in a series where we attempt to define defects in critical lattice models that give rise to conformal field theory topological defects in the continuum limit. We focus mostly on models based on the Temperley-Lieb algebra, with
Externí odkaz:
http://arxiv.org/abs/1811.02551
Autor:
Gainutdinov, A. M., Saleur, H.
Finite Temperley-Lieb (TL) algebras are diagram-algebra quotients of (the group algebra of) the famous Artin's braid group $B_N$, while the affine TL algebras arise as diagram algebras from a generalized version of the braid group. We study asymptoti
Externí odkaz:
http://arxiv.org/abs/1606.04530
Publikováno v:
Journal of High Energy Physics, Volume 2015, Issue 5, 114
The periodic sl(2|1) alternating spin chain encodes (some of) the properties of hulls of percolation clusters, and is described in the continuum limit by a logarithmic conformal field theory (LCFT) at central charge c=0. This theory corresponds to th
Externí odkaz:
http://arxiv.org/abs/1409.0167
Publikováno v:
J. Phys. A: Math. Theor. 46 (2013) 494012
Logarithmic Conformal Field Theories (LCFT) play a key role, for instance, in the description of critical geometrical problems (percolation, self avoiding walks, etc.), or of critical points in several classes of disordered systems (transition betwee
Externí odkaz:
http://arxiv.org/abs/1303.2082
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 495401
This paper is part of an effort to gain further understanding of 2D Logarithmic Conformal Field Theories (LCFTs) by exploring their lattice regularizations. While all work so far has dealt with the Virasoro algebra (or the product of left and right V
Externí odkaz:
http://arxiv.org/abs/1212.1378
Publikováno v:
Communications in Mathematical Physics, 2016, Volume 341, Issue 1, pp 35-103
We develop in this paper the principles of an associative algebraic approach to bulk logarithmic conformal field theories (LCFTs). We concentrate on the closed $gl(1|1)$ spin-chain and its continuum limit - the $c=-2$ symplectic fermions theory - and
Externí odkaz:
http://arxiv.org/abs/1207.6334
Publikováno v:
Nuclear Physics B 871 [FS] (2013) 245-288
This paper is the first in a series devoted to the study of logarithmic conformal field theories (LCFT) in the bulk. Building on earlier work in the boundary case, our general strategy consists in analyzing the algebraic properties of lattice regular
Externí odkaz:
http://arxiv.org/abs/1112.3403
Publikováno v:
Nuclear Physics B 871 [FS] (2013) 289-329
This paper is second in a series devoted to the study of periodic super-spin chains. In our first paper at 2011, we have studied the symmetry algebra of the periodic gl(1|1) spin chain. In technical terms, this spin chain is built out of the alternat
Externí odkaz:
http://arxiv.org/abs/1112.3407
Autor:
Komnik, A., Saleur, H.
Publikováno v:
Phys. Rev. Lett. 107, 100601 (2011)
We verify the validity of the Cohen-Gallavotti fluctuation theorem for the strongly correlated problem of charge transfer through an impurity in a chiral Luttinger liquid, which is realizable experimentally as a quantum point contact in a fractional
Externí odkaz:
http://arxiv.org/abs/1109.3874