Integrable Floquet systems related to logarithmic conformal field theory
نویسندگان
چکیده
We study an integrable Floquet quantum system related to lattice statistical systems in the universality class of dense polymers. These are described by a particular non-unitary representation Temperley-Lieb algebra. find simple Lie algebra structure for elements which invariant under shift two sites, and show how local conserved charges Hamiltonian expressed terms this The has phase transition between non-local phases Hamiltonian. provide strong indication that scaling limit non-equilibrium is logarithmic conformal field theory.
منابع مشابه
Disordered Systems and Logarithmic Conformal Field Theory
We review a recent development in theoretical understanding of the quenched averaged correlation functions of disordered systems and the logarithmic conformal field theory (LCFT) in d-dimensions. The logarithmic conformal field theory is the generalization of the conformal field theory when the dilatation operator is not diagonal and has the Jordan form. It is discussed that at the random fixed...
متن کاملLogarithmic Conformal Field Theory
Conformal field theory (CFT) has proven to be one of the richest and deepest subjects of modern theoretical and mathematical physics research, especially as regards statistical mechanics and string theory. It has also stimulated an enormous amount of activity in mathematics, shaping and building bridges between seemingly disparate fields through the study of vertex operator algebras, a (partial...
متن کاملLogarithmic Conformal Field Theory
The periods of arbitrary abelian forms on hyperelliptic Riemann surfaces, in particular the periods of the meromorphic Seiberg-Witten differential λ SW , are shown to be in one-to-one correspondence with the conformal blocks of correlation functions of the rational logarithmic conformal field theory with central charge c = c 2,1 = −2. The fields of this theory precisely simulate the branched do...
متن کاملConformal field theory and integrable systems associated to elliptic curves
It has become clear over the years that quantum groups (i.e., quasitriangular Hopf algebras, see [D]) and their semiclassical counterpart, Poisson Lie groups, are an essential algebraic structure underlying three related subjects: integrable models of statistical mechanics, conformal field theory and integrable models of quantum field theory in 1+1 dimensions. Still, some points remain obscure ...
متن کاملBoundary Logarithmic Conformal Field Theory
We discuss the effect of boundaries in boundary logarithmic conformal field theory and show, with reference to both c = −2 and c = 0 models, how they produce new features even in bulk correlation functions which are not present in the corresponding models without boundaries. We discuss the modification of Cardy’s relation between boundary states and bulk quantities. PACS codes: 11.25.Hf, 11.10.Kk
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SciPost physics
سال: 2023
ISSN: ['2542-4653']
DOI: https://doi.org/10.21468/scipostphys.14.4.084