The gravity dual of supersymmetric gauge theories on a squashed five-sphere

Abstract

We present the gravity dual of large N supersymmetric gauge theories on a squashed five-sphere. The one-parameter family of solutions is constructed in Euclidean Romans F(4) gauged supergravity in six dimensions, and uplifts to massive type IIA supergravity. By renormalizing the theory with appropriate counterterms we evaluate the renormalized on-shell action for the solutions. We also evaluate the large N limit of the gauge theory partition function, and find precise agreement.

arXiv comment4 pages; v2: minor corrections

References in corpus (8)

• SUSY Gauge Theories on Squashed Three-Spheres
• The D4-D8 Brane System and Five Dimensional Fixed Points
• Gauged Six-dimensional Supergravity from Massive Type IIA
• AdS_6 Interpretation of 5d Superconformal Field Theories
• Localization on Three-Manifolds
• Wilson Loops in 5d N=1 SCFTs and AdS/CFT
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• Supersymmetric theories on squashed five-sphere

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