Publications

Preprints

• Generalized Macdonald functions and quantum toroidal gl(1) algebra

J.-E. Bourgine, L. Cassia and A. Stoyan arXiv:2508.19704

Published articles

• A Calogero model for the non-Abelian quantum Hall effect

J.-E. Bourgine and Y. Matsuo

Physical Review B 109 (2024), no. 15, 155158. arXiv:2401.03087

•  A (q,t)deformation of the 2d Toda integrable hierarchy

J.-E. Bourgine and A. Garbali (2023)

Communications in Mathematical Physics 405 (2024) 9, 204. arXiv:2308.16583

• Shifted quantum groups and matter multiplets in supersymmetric gauge theories

J.-E. Bourgine (2022)

Communications in Mathematical Physics 401 (2023) 2, 2051-2114 arXiv:2205.01309

• Engineering 3D N = 2 theories using the quantum affine sl(2) algebra 

J.-E. Bourgine

Nuclear Physics B 985 (2022), 115979. arXiv:2107.10063

• Intertwining operator and integrable hierarchies from topological strings

J.-E. Bourgine

JHEP 2105, 216 (2021). arXiv:2101.09925

• Quantum W1+∞ subalgebras of BCD type and symmetric polynomials 

J.-E. Bourgine

Journal of Mathematical Physics (JMP) 62 6, 063505 (2021). arXiv:2101.03877

• New quantum toroidal algebras from 5D N = 1 instantons on orbifolds

 J.-E. Bourgine and S. Jeong,

JHEP 2005, 127 (2020). arXiv:1906.01625

• Fiber-base duality from the algebraic perspective

J.-E. Bourgine

JHEP 1903, 003 (2019). arXiv:1810.00301

• A note on the algebraic engineering of 4D N = 2 super Yang-Mills theories

J.-E. Bourgine and K. Zhang

Physics Letters B 789, 610 (2019). arXiv:1809.08861

• Quantum integrability of N = 2 4d gauge theories

J.-E. Bourgine and D. Fioravanti,

JHEP 1808, 125 (2018). arXiv:1711.07935

• Seiberg-Witten period relations in Omega background

J.-E. Bourgine and D. Fioravanti,

JHEP 1808, 124 (2018). arXiv:1711.07570

• Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver

J. E. Bourgine, M. Fukuda, Y. Matsuo and R. D. Zhu,

JHEP 1712, 015 (2017). arXiv:1709.01954

• (p, q)-webs of DIM representations, 5d N = 1 instanton partition functions and qq-characters

J. E. Bourgine, M. Fukuda, K. Harada, Y. Matsuo and R. D. Zhu

JHEP 1711, 034 (2017). arXiv:1703.10759

• Coherent states in quantum W1+∞ algebra and qq-character for 5d Super Yang-Mills

 J. E. Bourgine, M. Fukuda, Y. Matsuo, H. Zhang and R. D. Zhu

PTEP 2016 no.12, 123B05 (2016). arXiv:1606.08020

• Logarithmic Minimal Models with Robin Boundary Conditions

J. -E. Bourgine, P. A. Pearce and E. Tartaglia

J. Stat. Mech. 1606, no. 6, 063104 (2016). arXiv:1601.04760

• Holomorphic field realization of SHc and quantum geometry of quiver gauge theories

J. -E. Bourgine, Y. Matsuo and H. Zhang 

JHEP 1604, 167 (2016). arXiv:1512.02492

• Mayer expansion of the Nekrasov pre potential: the subleading epsillon_2-order

J. -E. Bourgine and D. Fioravanti

Nuclear Physics B 906 (2016), pp. 408-440. arXiv:1511.02672

• Finite epsillon_2 -corrections to the N = 2 SYM prepotential

J. -E. Bourgine and D. Fioravanti

Physics Letters B 750 (2015) 139. arXiv:1506.01340

•  Spherical Hecke algebra in the Nekrasov-Shatashvili limit

J. -E. Bourgine

JHEP 1501, 114 (2015). arXiv:1407.8341

• Confinement and Mayer cluster expansions

J. -E. Bourgine,

International Journal of Modern Physics A A29 (2014), 15, 1450077. arXiv:1402.1626

• Notes on Mayer Expansions and Matrix Models 

 J. -E. Bourgine

 Nuclear Physics B 880C (2014), pp. 476-503. arXiv:1310.3566

• Large N techniques for Nekrasov partition functions and AGT conjecture

J. -E. Bourgine,

JHEP 1305, 047 (2013). arXiv:1212.4972

•  Large N limit of beta-ensembles and deformed Seiberg-Witten relations

J. -E. Bourgine,

JHEP 1208, 046 (2012). arXiv:1206.1696

• A note on the integral equation for the Wilson loop in N = 2 D = 4 superconformal Yang-Mills theory

J. -E. Bourgine

Journal of Physics A 45, 125403 (2012). arXiv:1111.0384

• On the Yang-Lee and Langer singularities in the O(n) loop model

J. -E. Bourgine and I. Kostov

Journal of Statistical Mechanics (JSTAT) 1201, P01024 (2012). arXiv:1110.1108

• Bulk-boundary correlators in the hermitian matrix model and minimal Liouville gravity

  J. -E. Bourgine, G. Ishiki, and C. Rim

  Nuclear Physics B 854 (2012) 853-877. arXiv:1107.4186

• Boundary operators in the one-matrix model

J. -E. Bourgine, G. Ishiki and C. Rim

Physics Letters B 698, 68-74 (2011). arXiv:1012.1467

• Boundary operators in minimal Liouville gravity and matrix models

 J. -E. Bourgine, G. Ishiki and C. Rim

JHEP 12 (2010) 046. arXiv:1010.1363

•  Boundary transitions of the O(n) model on a dynamical lattice

 J.-E. Bourgine, K. Hosomichi, and I. Kostov

Nuclear Physics B 832 (2010), no. 3, 462. arXiv:0910.1581

•  Boundary changing operators in the O(n) matrix model

J. -E. Bourgine

JHEP 0909 (2009) 020. arXiv:0904.2297

• Boundary operators in the O(n) and RSOS matrix models

 J. -E. Bourgine and K. Hosomichi

Journal of High Energy Physics (JHEP) 0901 (2009) 009. arXiv:0811.3252

• Scattering of long folded strings and mixed correlators in the two-matrix model

J. -E. Bourgine, K. Hosomichi, I. Kostov and Y. Matsuo

Nuclear Physics B 795 (2008) 243. arXiv:0709.3912

Proceedings

• Algebraic Engineering and Integrable Hierarchies 

J.-E. Bourgine

Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2021. Springer Proceedings in Mathematics & Statistics, vol 396. 

• Webs of quantum algebra representations in 5d N = 1 Super Yang-Mills 

J.-E. Bourgine

Springer Proc. Math. Stat. 263, 209 (2017). Joint proceedings of the 10-th International Symposium "Quantum Theory and Symmetries" and the 12-th International Workshop "Lie Theory and Its Applications in Physics" (19-25 June 2017, Varna, Bulgaria).