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Main Author:	Arnaudo, Paolo
Format:	Preprint
Published:	2026
Subjects:	High Energy Physics - Theory
Online Access:	https://arxiv.org/abs/2602.06120
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author	Arnaudo, Paolo
author_facet	Arnaudo, Paolo
contents	We present an analytical study of the transport coefficients associated with the shear sector of gravitational perturbations around asymptotically anti-de Sitter black branes. In the long-wavelength, low-frequency limit, the wave solutions admit a structure that is fully described in terms of multiple polylogarithms in several variables. We focus primarily on computing the transport coefficients for $\mathcal{N}=4$ SYM, by performing a bulk computation in the five-dimensional black hole background up to order $\mathfrak{q}^{10}$, which extends the results previously available in the literature. We then generalise the procedure to $d+1$ dimensions, characterising the mathematical structure of the resulting transport coefficient expressions.
format	Preprint
id	arxiv_https___arxiv_org_abs_2602_06120
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	Shear mode transport coefficients from multiple polylogarithms Arnaudo, Paolo High Energy Physics - Theory We present an analytical study of the transport coefficients associated with the shear sector of gravitational perturbations around asymptotically anti-de Sitter black branes. In the long-wavelength, low-frequency limit, the wave solutions admit a structure that is fully described in terms of multiple polylogarithms in several variables. We focus primarily on computing the transport coefficients for $\mathcal{N}=4$ SYM, by performing a bulk computation in the five-dimensional black hole background up to order $\mathfrak{q}^{10}$, which extends the results previously available in the literature. We then generalise the procedure to $d+1$ dimensions, characterising the mathematical structure of the resulting transport coefficient expressions.
title	Shear mode transport coefficients from multiple polylogarithms
topic	High Energy Physics - Theory
url	https://arxiv.org/abs/2602.06120

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