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1.
R-matrices and Miura operators in 5d Chern-Simons theory / Ishtiaque, Nafiz (IHES, Bures-sur-Yvette) ; Jeong, Saebyeok (CERN) ; Zhou, Yehao (Tokyo U., IPMU)
We derive Miura operators for $W$- and $Y$-algebras from first principles as the expectation value of the intersection between a topological line defect and a holomorphic surface defect in 5-dimensional non-commutative $\mathfrak{gl}(1)$ Chern-Simons theory. The expectation value, viewed as the transition amplitude for states in the defect theories forming representations of the affine Yangian of $\mathfrak{gl}(1)$, satisfies the Yang-Baxter equation and is thus interpreted as an R-matrix. [...]
arXiv:2408.15712; CERN-TH-2024-147.- 2025-01-13 - 45 p. - Published in : SciPost Phys. Core 8 (2025) 003 Fulltext: 2408.15712 - PDF; Publication - PDF;
2.
The Yang-Mills duals of small AdS black holes / Choi, Sunjin (Seoul Natl. U., Dept. Phys. Astron. ; Seoul Natl. U. ; Korea Inst. Advanced Study, Seoul) ; Jeong, Saebyeok (Rutgers U., Piscataway ; CERN) ; Kim, Seok (Seoul Natl. U., Dept. Phys. Astron. ; Seoul Natl. U.)
We study the large $N$ matrix model for the index of 4d $\mathcal{N}=4$ Yang-Mills theory and its truncations to understand the dual AdS$_5$ black holes. Numerical studies of the truncated models provide insights on the black hole physics, some of which we investigate analytically with the full Yang-Mills matrix model. [...]
arXiv:2103.01401; SNUTP21-001.- 2024-07-09 - 60 p. - Published in : JHEP 2407 (2024) 067 Fulltext: 2103.01401 - PDF; Publication - PDF;
3.
Miura operators as R-matrices from M-brane intersections / Haouzi, Nathan (Princeton, Inst. Advanced Study) ; Jeong, Saebyeok (CERN)
We propose that Miura operators are R-matrices of certain infinite-dimensional quantum algebras. [...]
CERN-TH-2024-094 ; arXiv:2407.15990.
- 22 p.
Fulltext
4.
Bispectral duality and separation of variables from surface defect transition / Jeong, Saebyeok (CERN) ; Lee, Norton (IBS, Gyeongsangbuk, CGP)
We study two types of surface observables $-$ the $\mathbf{Q}$-observables and the $\mathbf{H}$-observables $-$ of the 4d $\mathcal{N}=2A_1$-quiver $U(N)$ gauge theory obtained by coupling a 2d $\mathcal{N}=(2,2)$ gauged linear sigma model. We demonstrate that the transition between the two surface defects manifests as a Fourier transformation between the surface observables. [...]
arXiv:2402.13889; CERN-TH-2024-024; CGP24003.- 2024-12-19 - 73 p. - Published in : JHEP 2412 (2024) 142 Fulltext: 2402.13889 - PDF; document - PDF;
5.
di-Langlands correspondence and extended observables / Jeong, Saebyeok (CERN) ; Lee, Norton (IBS, Gyeongsangbuk, CGP) ; Nekrasov, Nikita (Stony Brook U.)
We explore the $\textit{difference Langlands correspondence}$ using the four dimensional ${\mathcal{N}}=2$ super-QCD. Surface defects and surface observables play the crucial role. [...]
arXiv:2402.13888; CERN-TH-2023-220; CGP24002.- 2024-06-18 - 11 p. - Published in : JHEP 2406 (2024) 105 Fulltext: 2402.13888 - PDF; document - PDF;
6.
Parallel surface defects, Hecke operators, and quantum Hitchin system / Jeong, Saebyeok (CERN) ; Lee, Norton (IBS, Gyeongsangbuk, CGP) ; Nekrasov, Nikita (SUNY, Stony Brook)
We examine two types of half-BPS surface defects $-$ regular monodromy surface defect and canonical surface defect $-$ in four-dimensional gauge theory with $\mathcal{N}=2$ supersymmetry and $\Omega_{\varepsilon_1,\varepsilon_2}$-background. [...]
arXiv:2304.04656 ; CERN-TH-2023-057 ; CGP23015.
- 23.
Fulltext

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