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Notes on parafermionic QFT's with boundary interaction
S. L. Lukyanov
The main result of these notes is an analytical expression for the partition function of the circular brane model for arbitrary values of the topological angle. The model has impor…
Boundary RG Flow Associated with the AKNS Soliton Hierarchy
Vladimir A. Fateev, Sergei L. Lukyanov
We introduce and study an integrable boundary flow possessing an infinite number of conserving charges which can be thought of as quantum counterparts of the Ablowitz, Kaup, Newell…
Dual Form of the Paperclip Model
S. L. Lukyanov, A. B. Zamolodchikov
The ``paperclip model'' is 2D model of Quantum Field Theory with boundary interaction defined through a special constraint imposed on the boundary values of massless bosonic fields…
Paperclip at
S. L. Lukyanov, A. M. Tsvelik, A. B. Zamolodchikov
We study the ``paperclip'' model of boundary interaction with the topological angle equal to . We propose exact expression for the disk partition function in terms of soluti…
Higher-level eigenvalues of Q-operators and Schroedinger equation
V. V. Bazhanov, S. L. Lukyanov, A. B. Zamolodchikov
Relation between one-dimensional Schroedinger equation and the vacuum eigenvalues of the Q-operators is extended to their higher-level eigenvalues.
Bosonization of ZF Algebras: Direction Toward Deformed Virasoro Algebra
Sergei Lukyanov, Yaroslav Pugai
These lectures were prepared to be presented at A.A. Belavin seminar on CFT at Landau Institute for Theoretical Physics. We review bosonization of CFT and show how it can be applie…