Gradient flow in logarithmic conformal field theory
نویسندگان
چکیده
منابع مشابه
Gradient Flow in Logarithmic Conformal Field Theory
We establish conditions under which the worldsheet β-functions of logarithmic conformal field theories can be derived as the gradient of some scalar function on the moduli space of running coupling constants. We derive a renormalization group invariant version of this function and relate it to the usual Zamolodchikov C-function expressed in terms of correlation functions of the worldsheet energ...
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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 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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The representation theory of the Virasoro algebra in the case of a logarithmic conformal field theory is considered. Here, indecomposable representations have to be taken into account, which has many interesting consequences. We study the generalization of null vectors towards the case of indecomposable representation modules and, in particular, how such logarithmic null vectors can be used to ...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1998
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(98)00500-0