P. Gavrylenko

发表

Circular quiver gauge theories, isomonodromic deformations and $$W_N$$ fermions on the torus

G. Bonelli, Fabrizio Del Monte, P. Gavrylenko, 2019, Letters in Mathematical Physics.

Prepared for submission to JHEP N = 2 ∗ gauge theory , free fermions on the torus and Painlevé VI

G. Bonelli, P. Gavrylenko, F. D. Monte, 2019 .

Fredholm Determinant and Nekrasov Sum Representations of Isomonodromic Tau Functions

O. Lisovyy, P. Gavrylenko, P. Gavrylenko, 2016, 1608.00958.

On Solutions of the Fuji-Suzuki-Tsuda System

O. Lisovyy, P. Gavrylenko, N. Iorgov, 2018, Symmetry, Integrability and Geometry: Methods and Applications.

Form factors of twist fields in the lattice Dirac theory

O. Lisovyy, P. Gavrylenko, N. Iorgov, 2011, 1108.3290.

Isomonodromic τ-functions and WN conformal blocks

P. Gavrylenko, P. Gavrylenko, Nru Hse, 2015, 1505.00259.

Isomonodromic deformations and conformal field theory with W-symmetry

P. Gavrylenko, P. Gavrylenko, 2018 .

Cluster integrable systems, q-Painlevé equations and their quantization

P. Gavrylenko, A. Marshakov, M. Bershtein, 2017, 1711.02063.

$${\mathcal {N}}$$ = $$2^*$$ Gauge Theory, Free Fermions on the Torus and Painlevé VI

G. Bonelli, P. Gavrylenko, A. Tanzini, 2019, Communications in Mathematical Physics.

Tau Functions as Widom Constants

O. Lisovyy, P. Gavrylenko, M. Cafasso, 2018, Communications in Mathematical Physics.

Fredholm Determinant and Nekrasov Sum Representations of Isomonodromic Tau Functions

O. Lisovyy, P. Gavrylenko, P. Gavrylenko, 2018, Communications in Mathematical Physics.

Twist-field representations of W-algebras, exact conformal blocks and character identities

P. Gavrylenko, A. Marshakov, M. Bershtein, 2017, Journal of High Energy Physics.

Higher-rank isomonodromic deformations and W-algebras

O. Lisovyy, P. Gavrylenko, N. Iorgov, 2018, Letters in Mathematical Physics.

Cluster integrable systems, q-Painlevé equations and their quantization

P. Gavrylenko, A. Marshakov, M. Bershtein, 2018, Journal of High Energy Physics.

Twist-field representations of W-algebras, exact conformal blocks and character identities

P. Gavrylenko, A. Marshakov, M. Bershtein, 2018, Journal of High Energy Physics.

Cluster Toda Chains and Nekrasov Functions

P. Gavrylenko, A. Marshakov, M. Bershtein, 2019, Theoretical and Mathematical Physics.

Cluster Toda Chains and Nekrasov Functions

P. Gavrylenko, A. Marshakov, M. Bershtein, 2018, Theoretical and Mathematical Physics.

Tau Functions as Widom Constants

O. Lisovyy, P. Gavrylenko, M. Cafasso, 2017, Communications in Mathematical Physics.

Pure 𝑆𝑈(2) gauge theory partition function and generalized Bessel kernel

O. Lisovyy, P. Gavrylenko, P. Gavrylenko, 2017, Proceedings of Symposia in Pure Mathematics.

Isomonodromic Tau Functions on a Torus as Fredholm Determinants, and Charged Partitions

Fabrizio Del Monte, P. Gavrylenko, Harini Desiraju, 2020, Communications in Mathematical Physics.

Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus

P. Gavrylenko, F. D. Monte, Harini Desiraju, 2022, 2211.01139.

Quantum Spectral Problems and Isomonodromic Deformations

P. Gavrylenko, A. Grassi, M. Bershtein, 2021, Communications in Mathematical Physics.

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

P. Gavrylenko, A. Marshakov, A. Stoyan, 2020, Journal of High Energy Physics.

Isomonodromic τ-functions and WN conformal blocks

P. Gavrylenko, 2015, Journal of High Energy Physics.

Free fermions, W-algebras, and isomonodromic deformations

P. Gavrylenko, A. Marshakov, P. Gavrylenko, 2016, 1605.04554.

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

R. Santachiara, P. Gavrylenko, 2018, Journal of High Energy Physics.

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

P. Gavrylenko, A. Marshakov, P. Gavrylenko, 2015, 1507.08794.

Residue formulas for prepotentials, instanton expansions and conformal blocks

P. Gavrylenko, A. Marshakov, P. Gavrylenko, 2013, 1312.6382.

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

P. Gavrylenko, A. Marshakov, 2016, Journal of High Energy Physics.

Solution of tetrahedron equation and cluster algebras

P. Gavrylenko, Y. Zenkevich, M. Semenyakin, 2020, Journal of High Energy Physics.

2d Sigma Models on Non-compact Calabi-Yau and ${\mathcal N}=2$ Liouville Theory

P. Gavrylenko, A. Yung, A. Marshakov, 2023, 2307.02929.

Communications in Mathematical Physics N = 2 ∗ Gauge Theory , Free Fermions on the Torus and Painlevé VI

G. Bonelli, P. Gavrylenko, A. Tanzini, 2020 .