Supergravity Backgrounds for Four-Dimensional Maximally Supersymmetric Yang-Mills

Abstract

In this note, we describe supersymmetric backgrounds for the four-dimensional maximally supersymmetric Yang-Mills theory. As an extension of the method of Festuccia and Seiberg to sixteen supercharges in four dimensions, we utilize the coupling of the gauge theory to maximally extended conformal supergravity. Included among the fields of the conformal supergravity multiplet is the complexified coupling parameter of the gauge theory; therefore, backgrounds with spacetime varying coupling--such as appear in F-theory and Janus configurations--are naturally included in this formalism. We demonstrate this with a few examples from past literature.

arXiv comment22 pages, LaTeX; v2: typos corrected; v3: reference added, published version

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• Theories of Class F and Anomalies
• Flat deformations of type IIB S-folds
• Surveying 4d SCFTs twisted on Riemann surfaces
• Marginal deformations and RG flows for type IIB S-folds
• Deformation of $\mathcal{N}=4$ SYM with varying couplings via fluxes and intersecting branes
• Conformal field theories on deformed spheres, anomalies, and supersymmetry
• Supersymmetric branes and instantons on curved spaces
• (1,0) gauge theories on the six-sphere
• Super Yang-Mills Theories with Inhomogeneous Mass Deformations
• Gauge theories on spheres with 16 supercharges and non-constant couplings
• Flavor deformations and supersymmetry enhancement in $4d$ $\mathcal{N}=2$ theories