Solving Mass-deformed Holography Perturbatively

Abstract

We study supergravity BPS equations which correspond to mass-deformation of some representative AdS/CFT examples. The field theory of interest are 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 N=2* theory our result is in good agreement with the localization result.

20 pages, 2 figures; v2: references added, typos corrected; v3: to appear in JHEP

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• Perturbative solutions of $\mathcal{N}=1^{\ast }$ holography on $S^4$
• Towards an explicit construction of de Sitter solutions in classical supergravity
• The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere