DISORDERED SYSTEMS AND LOGARITHMIC CONFORMAL FIELD THEORY
نویسندگان
چکیده
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...
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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...
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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...
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We consider the supersymmetric approach to gaussian disordered systems like the random bond Ising model and Dirac model with random mass and random potential. These models appeared in particular in the study of the integer quantum Hall transition. The supersymmetric approach reveals an osp(2/2)1 affine symmetry at the pure critical point. A similar symmetry should hold at other fixed points. We...
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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
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2003
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x03016902