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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2012, Volume 96, Issue 2, Pages 93–96
(Mi jetpl3176)
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This article is cited in 5 scientific papers (total in 5 papers)
FIELDS, PARTICLES, AND NUCLEI
SLE martingales in coset conformal field theory
A. A. Nazarov St. Petersburg State University, Department of Mathematics and Mechanics
Abstract:
Scharmm–Loewner evolution (SLE) and conformal field theory (CFT)
are popular and widely used instruments to study critical behavior of
two-dimensional models, but they use different objects. While SLE has
natural connection with lattice models and is suitable for strict proofs, it
lacks computational and predictive power of conformal field theory. To
provide a way for the concurrent use of SLE and CFT we consider CFT
correlation functions which are martingales with respect to SLE. We
establish connection between parameters of Schramm–Loewner evolution on
coset space and algebraic data of coset conformal field theory. Then we
check the consistency of our approach with the behaviour of parafermionic
and minimal models. Coset models are connected with off-critical massive
field theories and we discuss implications for SLE.
Received: 14.05.2012
Citation:
A. A. Nazarov, “SLE martingales in coset conformal field theory”, Pis'ma v Zh. Èksper. Teoret. Fiz., 96:2 (2012), 93–96; JETP Letters, 96:2 (2012), 90–93
Linking options:
https://www.mathnet.ru/eng/jetpl3176 https://www.mathnet.ru/eng/jetpl/v96/i2/p93
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Statistics & downloads: |
Abstract page: | 186 | Full-text PDF : | 58 | References: | 31 |
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