Logarithmic conformal field theory through nilpotent conformal dimensions
نویسندگان
چکیده
منابع مشابه
Logarithmic Conformal Field Theory Through Nilpotent Conformal Dimensions
We study logarithmic conformal field theories (LCFTs) through the introduction of nilpotent conformal weights. Using this device, we derive the properties of LCFT’s such as the transformation laws, singular vectors and the structure of correlation functions. We discuss the emergence of an extra energy momentum tensor, which is the logarithmic partner of the energy momentum tensor. PACS: 11.25.Hf
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 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 کاملLogarithmic conformal field theory with boundary†
This lecture note covers topics on boundary conformal field theory, modular transformations and the Verlinde formula, and boundary logarithmic CFT. An introductory review on CFT with boundary and a discussion of its applications to logarithmic cases are given. LCFT at c = −2 is mainly discussed. This article is based on the lectures at the International Summer School on Logarithmic Conformal Fi...
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: Nuclear Physics B
سال: 2001
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(01)00004-9