Form factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration

DOI10.1007/BF02096723zbMath0787.35106arXivhep-th/9210052MaRDI QIDQ1308478

Fedor A. Smirnov

Publication date: 19 May 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9210052

zbMATH Keywords

finite-gap integrationclassical limitKnizhnik-Zamolodchikov equationtheta-functiontau-functionform factors of fields

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Theta functions and curves; Schottky problem (14H42)

Related Items

Counting the local fields in sine-Gordon theory ⋮ On the deformation of Abelian integrals ⋮ Operator formalism on general algebraic curves ⋮ Form factors, thermal states and modular structures ⋮ A new proof of a Thomae-like formulafor non hyperelliptic genus 3 curves ⋮ Anyonic topological order in twisted equivariant differential (TED) K-theory ⋮ Thomae's formula for \(Z_n\) curves ⋮ Fermionic structure in the sine-Gordon model: Form factors and null-vectors ⋮ Thomae type formulae for singular \(Z_N\) curves ⋮ Integral and theta formulae for solutions of \(sl_N\) Knizhnik-Zamolodchikov equation at level zero ⋮ An algebraic approach to form factors ⋮ Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain ⋮ Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Analytic fields on Riemann surfaces. II
• Hidden Yangians in 2D massive current algebras
• Quantum group symmetries and non-local currents in 2D QFT
• Quantum affine algebras and holonomic difference equations
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions on Riemann surfaces
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
• Dressing transformations and Poisson group actions

This page was built for publication: Form factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration