On supersymmetry and other properties of a class of marginally deformed backgrounds

Abstract

We summarize our recent work on supergravity backgrounds dual to part of the Coulomb branch of N=1 theories constructed as marginal deformations of N=4 Yang-Mills. In particular, we present a summary of the behaviour of the heavy quark-antiquark potential which shows confining behaviour in the IR as well as of the spectrum of the wave equation. The reduced supersymmetry is due to the implementation of T-duality in the construction of the deformed supergravity solutions. As a new result we analyze and explicitly solve the Killing spinor equations of the N=1 background in the superconformal limit.

arXiv comment12 pages, 2 figures, Proceedings of the RTN Corfu workshop, September 2005

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• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• From Marginal Deformations to Confinement
• Spin-2 excitations in Gaiotto-Maldacena solutions
• Giant Gravitons on the Schrodinger pp-wave geometry
• Holographic Krylov complexity in the Coulomb branch of $\mathcal{N}=4$ SYM
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory