Solution of tetrahedron equation and cluster algebras

We consider multi-component Kadomtsev-Petviashvili hierarchy of type C (the multi-component CKP hierarchy) originally defined with the help of matrix pseudo-differential operators via the Lax-Sato formalism. Starting from the bilinear relation for the wave functions, we prove existence of the tau-function for the multi-component CKP hierarchy and provide a formula which expresses the wave functions through ...

Добавлено: 28 ноября 2024 г.

Lie Theory and Its Applications in Physics. Varna, Bulgaria, June 2015

Springer, 2016.

Добавлено: 18 октября 2023 г.

Mirror channel eigenvectors of the d-dimensional fishnets

Sergey Derkachov, Ferrando G., Olivucci E., Journal of High Energy Physics 2021 Vol. 2021 No. 12 Article 174

Добавлено: 27 октября 2022 г.

Field analogue of the Ruijsenaars-Schneider model

Забродин А. В., Зотов А. В., Journal of High Energy Physics 2022 No. 7 Article 23

Добавлено: 18 августа 2022 г.

Dualities in quantum integrable many-body systems and integrable probabilities. Part I.

Gorsky A., Vasilyev M., Zotov A., Journal of High Energy Physics 2022 Vol. 2022 No. 04 Article 159

Добавлено: 28 апреля 2022 г.

Irregular conformal blocks, Painlevé III and the blow-up equations

Гавриленко П. Г., Маршаков А. В., Стоян А. К., Journal of High Energy Physics 2020 Vol. 12 Article 125

We study the relation of irregular conformal blocks with the Painlevé III3 equation. The functional representation for the quasiclassical irregular block is shown to be consistent with the BPZ equations of conformal field theory and the Hamilton-Jacobi approach to Painlevé III3. It leads immediately to a limiting case of the blow-up equations for dual Nekrasov partition ...

Добавлено: 24 марта 2022 г.

Exactly solvable single-trace four point correlators in χCFT4

Деркачев С. Э., Olivucci E., Journal of High Energy Physics 2021 Article 146

Добавлено: 25 ноября 2021 г.

Kadomtsev–Petviashvili Hierarchy: Negative Times

Погребков А. К., Mathematics 2021 Vol. 9 No. 16 Article 1988

Добавлено: 8 октября 2021 г.

Quantum Matrix Algebras of BMW type: Structure of the Characteristic Subalgebra

Ogievetsky O., Пятов П. Н., Journal of Geometry and Physics 2021 Vol. 162 Article 104086

Добавлено: 27 декабря 2020 г.

Scalar products of Bethe vectors in the 8-vertex model

Slavnov N. A., Забродин А. В., Зотов А. В., Journal of High Energy Physics 2020 No. 6 P. 123

Добавлено: 24 августа 2020 г.

Polyhedral parametrizations of canonical bases and cluster duality

Genz V., Koshevoy Gleb, Schumann B., Advances in Mathematics 2020 Vol. 369 P. 107178

Добавлено: 19 мая 2020 г.

Crossing invariant correlation functions at c = 1 from isomonodromic τ functions

Гавриленко П. Г., Santachiara R., Journal of High Energy Physics 2019 Vol. 2019 No. 11 P. 1–36

Добавлено: 14 мая 2020 г.

Generalized model of interacting integrable tops

Grekov A., Sechin I., Zotov A., Journal of High Energy Physics 2019 Vol. 10 No. 081 P. 1–32

Добавлено: 15 октября 2019 г.

Quantum groups, Verma modules and q-oscillators: General linear case

Nirov Khazret S., Razumov A., Journal of Physics A: Mathematical and Theoretical 2017 Vol. 50 No. 305201 P. 1–19

Добавлено: 29 января 2018 г.

On the construction of unitary quantum group differential calculus

Пятов П. Н., Journal of Physics A: Mathematical and Theoretical 2016 Vol. 49 No. 41 P. 415202–(25pp)

Добавлено: 30 сентября 2016 г.

Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations

Гавриленко П. Г., Маршаков А. В., Journal of High Energy Physics 2016 Vol. 2016 No. 2 P. 1–31

We consider the conformal blocks in the theories with extended conformal W-symmetry for the integer Virasoro central charges. We show that these blocks for the generalized twist fields on sphere can be computed exactly in terms of the free field theory on the covering Riemann surface, even for a non-abelian monodromy group. The generalized twist ...

Добавлено: 14 июня 2016 г.

Isomonodromic $\tau$-functions and $W_N$ conformal blocks

Гавриленко П. Г., Journal of High Energy Physics 2015 No. 09 P. 167

Добавлено: 9 октября 2015 г.

Supersymmetric quantum spin chains and classical integrable systems

Tsuboi Z., Забродин А. В., Zotov A., Journal of High Energy Physics 2015 Vol. 2015 No. 5, Article number 86

For integrable inhomogeneous supersymmetric spin chains (generalized graded magnets) constructed employing Y(gl(N|M))-invariant R-matrices in finite-dimensional representations we introduce the master T-operator which is a sort of generating function for the family of commuting quantum transfer matrices. Any eigenvalue of the master T-operator is the tau-function of the classical mKP hierarchy. It is a polynomial in ...

Добавлено: 7 сентября 2015 г.