N $$ \mathcal{N} $$ = 4 line defect correlators of type BCD

Abstract We analyze the line defect correlation functions decorating the supersymmetric indices of N $$ \mathcal{N} $$ = 4 super Yang-Mills theories with orthogonal and symplectic gauge groups. We obtain exact closed-form expressions for the correlators by means of combinatorial methods associated w...

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Bibliographic Details
Main Authors: Yasuyuki Hatsuda, Hai Lin, Tadashi Okazaki
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)054
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Summary:Abstract We analyze the line defect correlation functions decorating the supersymmetric indices of N $$ \mathcal{N} $$ = 4 super Yang-Mills theories with orthogonal and symplectic gauge groups. We obtain exact closed-form expressions for the correlators by means of combinatorial methods associated with the group characters, including the generalized Murnaghan-Nakayama rules. The exact results for the large N correlators lead to the gravity indices for the gravity dual spectrum of the fluctuations of the fundamental string wrapping AdS 2 and those of the fat string, the D5-brane wrapping AdS 2 × ℝℙ4.
ISSN:1029-8479