Exact holographic RG flows and the A1 × A1 Toda chain - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2019

Exact holographic RG flows and the A1 × A1 Toda chain

Résumé

We construct analytic solutions of Einstein gravity coupled to a dilaton field with a potential given by a sum of two exponentials, by rewriting the equations of motion in terms of an integrable Toda chain. These solutions can be interpreted as domain walls interpolating between different asymptotics, and as such they can have interesting applications in holography. In some cases, we can construct a solution which interpolates between an AdS fixed point in the UV limit and a hyperscaling violating boundary in the IR region. We also find analytic black brane solutions at finite temperature. We discuss the properties of the solutions and the interpretation in terms of RG flow.
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hal-02349830 , version 1 (21-08-2024)

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Irina Ya. Aref’eva, Anastasia Golubtsova, Giuseppe Policastro. Exact holographic RG flows and the A1 × A1 Toda chain. Journal of High Energy Physics, 2019, 2019 (5), pp.117. ⟨10.1007/JHEP05(2019)117⟩. ⟨hal-02349830⟩
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