Abstract
We study supergravity BPS equations which correspond to mass-deformation of some representative AdS/CFT examples. The field theory of interest are \( \mathcal{N} \) = 4, D = 4 super Yang-Mills, the ABJM model in D = 3, and the Brandhuber-Oz fixed point in D = 5. For these gauge theories the free energy with mass terms for matter multiplets is calculable in large-N limit using supersymmetric localization technique. We suggest a perturbative method to solve the supergravity equations. For the dual of mass-deformed ABJM model we reproduce the known exact solutions. For the mass-deformed Brandhuber-Oz theory our method gives the holographic free energy in analytic form. For \( \mathcal{N} \) = 2* theory our result is in good agreement with the localization result.
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Kim, N. Solving mass-deformed holography perturbatively. J. High Energ. Phys. 2019, 53 (2019). https://doi.org/10.1007/JHEP04(2019)053
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DOI: https://doi.org/10.1007/JHEP04(2019)053