Shear mode transport coefficients from multiple polylogarithms
arXiv:2602.06120
Abstract
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 SYM, by performing a bulk computation in the five-dimensional black hole background up to order , which extends the results previously available in the literature. We then generalise the procedure to dimensions, characterising the mathematical structure of the resulting transport coefficient expressions.
v2: minor revisions. 13 pages, 2 Mathematica files. Comments welcome