Perturbative solutions of $\mathcal{N}=1^{\ast }$ holography on $S^4$

Abstract

We apply the recently proposed perturbative technique to solve the supergravity BPS equations of $\mathcal{N}=1^{\ast }$ theories put on $S^4$. In particular, we have calculated the coefficients of the leading quartic terms exactly, in the expression of the universal part for the holographic free energy as a function of the mass parameters. We also report on the coefficients of higher order terms upto 10th order, which are computed numerically.

v2: 15 pages, 2 figures, added references and discussion on gaugino condensate etc, v3: typos corrected and comments added

References in corpus (2)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Solving Mass-deformed Holography Perturbatively

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