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In holography, quasinormal spectra of black branes coincide with the poles ofretarded finite-temperature correlation functions of a dual quantum fieldtheory in the limit of infinite number of relevant degrees of freedom such ascolours. For asymptotically anti-de Sitter backgrounds, the spectra form acharacteristic pattern in the complex frequency plane, colloquially known asthe "Christmas tree". At infinite coupling, the tree has only one pair ofbranches. At large but finite coupling, the branches become more dense and liftup towards the real axis, consistent with the expectation of forming a branchcut in the limit of zero coupling. However, it is known that at zero coupling,the corresponding correlators generically have not one but multiple branch cutsseparated by intervals proportional to the Matsubara frequency. This suggeststhe existence of multiple branches of the "Christmas tree" spectrum in dualgravity. In this note, we show numerically how these additional branches of thespectrum can emerge from the dual gravitational action with higher-derivativeterms. This phenomenon appears to be robust, yet, reproducing the expected weakcoupling behaviour of the correlators quantitatively implies the existence ofcertain constraints on the coefficients of the higher-derivative terms of thedual gravity theory.

Adding new branches to the "Christmas tree" of the quasinormal spectrum of black branes