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

Abstract

Abstract We apply the recently proposed perturbative technique to solve the supergravity BPS equations of N = 1 ∗ $$ \mathcal{N}={1}^{\ast } $$ 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 up to 10th order, which are computed numerically.

Keywords

• AdS-CFT Correspondence
• Duality in Gauge Field Theories
• Supergravity Models