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20232026
most citedLarge and large representations of Schur line defect correlators

18 citations · 68 across the 15 of their papers we have counts for

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hep-th2026

Wilson line defect indices for M2-brane SCFTs

Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

We investigate line defect Coulomb and Higgs indices in 3d supersymmetric gauge theories. The normalized line defect indices defined by ratios of the decorated d…

hep-th2026

Interior zeros of supersymmetric indices

Yu Nakayama, Tadashi Okazaki

A supersymmetric index has interior zeros () if and only if the arithmetic coefficients underlying the supersymmetric zeta function grow exponentially at a rate set b…

hep-th2026

Quarter-indices for basic ortho-symplectic corners

Yasuyuki Hatsuda, Tadashi Okazaki

We study supersymmetric quarter-indices for corner configurations in 4d super Yang-Mills theory with orthogonal and symplectic gauge groups. For the basic Y-junctio…

hep-th2026

Boundary lines and Askey-Wilson type moments

Tadashi Okazaki, Douglas J. Smith

The Wilson line defect half-indices for 3d gauge theories with boundary confining phases admit a formulation in terms of the Askey-Wilson type moments. In the dual…

hep-th2026

Holographic spectral functions for Sasaki-Einstein 5-manifolds

Yu Nakayama, Tadashi Okazaki

We investigate holographic spectral functions for general Sasaki-Einstein 5-manifolds dual to four-dimensional superconformal field theories, including supersymmetric indices, supe…

hep-th2025

Interface line operators in SYM theories and supersymmetric indices

Yasuyuki Hatsuda, Tadashi Okazaki

We study configurations of two super Yang-Mills theories of unitary gauge groups connected by the BPS interfaces involving line operators. We find strong evidence o…

hep-th2025★ 1 cited

Kac-Moody algebras from M5-giants

Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

We examine the giant graviton expansions of the Higgs indices for the 3d ADHM theories with fundamental hypermultiplets. The indices for the M5-brane gia…

hep-th2025★ 3 cited

Abelian dualities and line defect indices for 3d gauge theories

Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality…

hep-th2025★ 4 cited

S-duality of boundary lines in SYM theories and supersymmetric indices

Yasuyuki Hatsuda, Tadashi Okazaki

We analyze the supersymmetric defect indices of super Yang Mills theories which are simultaneously decorated by the BPS line operators and the boundary conditions.…

hep-th2024★ 7 cited

Orbifold ETW brane and half-indices

Yasuyuki Hatsuda, Hai Lin, Tadashi Okazaki

We study the half-indices of super Yang-Mills theories of orthogonal and symplectic gauge groups. We find precise matching pairs of the half-indices as strong evide…

hep-th2024★ 6 cited

M2-M5 giant graviton expansions

Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

We examine the giant graviton expansions of the Coulomb and Higgs indices for the M2-brane SCFTs to find the closed-form expressions for the indices that encode the spectra of the…

hep-th2024★ 5 cited

ADHM Wilson line defect indices

Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

The Coulomb and Higgs indices of the 3d ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form e…

hep-th2024★ 11 cited

Giant graviton expansions and ETW brane

Yasuyuki Hatsuda, Hai Lin, Tadashi Okazaki

We study the giant gravitons in the bagpipe geometries involving end-of-the-world (ETW) brane constructed by a single -brane and either two stacks or one stack of D3-bra…

hep-th2024★ 2 cited

Line defect half-indices of Chern-Simons theories

Tadashi Okazaki, Douglas J. Smith

We study the Wilson line defect half-indices of 3d supersymmetric Chern-Simons theories of level with Neumann boundary conditions for the gauge fi…

hep-th2023★ 11 cited

Excitations of bubbling geometries for line defects

Yasuyuki Hatsuda, Tadashi Okazaki

The half-BPS Wilson line operators in the irreducible representations labeled by the Young diagrams for super Yang-Mills theory have gravity dual description…

hep-th2023★ 18 cited

Large and large representations of Schur line defect correlators

Yasuyuki Hatsuda, Tadashi Okazaki

We study the large and large representation limits of the Schur line defect correlators of the Wilson line operators transforming in the (anti)symmetric, hook and rectangular r…