ZMP Seminar Series: Separation of Variables

Winter Term 2024/25

DESY/UHH

See also the Junior ZMP Seminar

Literature

Babelon, Bernard, Talon: Introduction to Classical Integrable Systems

Sklyanin: The Quantum Toda Chain

Sklyanin: Separation of variables: New trends (solv-int/9504001)

Kuznetsov, Nijhoff, Sklyanin: Separation of variables for the Ruijsenaars system (solv-int/9701004)

Derkachov, Korchemsky, Manashov: Separation of variables for the quantum SL(2,R) spin chain (hep-th/0210216)

Material

Abstract, including references

More literature

Seminar 1: Classical SoV 1 (Lukas Johannsen)

Lecture notes

Seminar 2: Classical SoV 2: Spectral Curve (Jonah Baerman)

Lecture notes

Seminar 3: Classical SoV 3: Action-Angle Variables (Albert Bekov)

Lecture notes

Seminar 4: Quantum Separation of Variables 1: Sklyanin Measure and Baxter TQ equation (Torben Skrzypek)

Lecture notes

Seminar 5: Quantum Separation of Variables 2: Modern approach and higher rank (Paul Ryan)

Seminar 6: Q-operators from quantum group representations (Christopher Raymond)

Literature:

• Bazhanov, Lukyanov, Zamolodchikov: hep-th/9805008
• Bazhanov, Hibbert, Khoroshkin (Section 3): hep-th/0105177
• Hernandez, Jimbo: 1104.1891
• Frenkel, Hernandez: 1308.3444
• Hernandez (review, in French): 1411.3626

Seminar 7: Functional Separation of Variables (Paul Ryan)

Seminar 8: TBA (Federico Ambrosino)

Schedule (seminar and colloquium) (see also indico)