Deformation of $\mathcal{N}=4$ SYM with varying couplings via fluxes and intersecting branes

Abstract

We study deformations of $\mathcal{N}=4$ supersymmetric Yang-Mills theory with space-time dependent couplings by embedding probe D3-branes in supergravity backgrounds with non-trivial fluxes. The effective action on the world-volume of the D3-branes is analyzed and a map between the deformation parameters and the fluxes is obtained. As an explicit example, we consider D3-branes in a background corresponding to $(p,q)$ 5-branes intersecting them and show that the effective theory on the D3-branes precisely agrees with the supersymmetric Janus configuration found by Gaiotto and Witten in arXiv:0804.2907 . D3-branes in an intersecting D3-brane background is also analyzed and the D3-brane effective action reproduces one of the supersymmetric configurations with $ISO(1,1)\times SO(2)\times SO(4)$ symmetry found in our previous paper arXiv:1710.09792 .

36 pages

References in corpus (8)

• Warped Supersymmetry Breaking
• F-theory and AdS_3/CFT_2
• Holographic Gauge Theories in Background Fields and Surface Operators
• Topological duality twist and brane instantons in F-theory
• Localized modes at a D-brane--O-plane intersection and heterotic Alice strings
• Soft branes in supersymmetry-breaking backgrounds
• Supergravity Backgrounds for Four-Dimensional Maximally Supersymmetric Yang-Mills
• Supersymmetric Gauge Theory with Space-time Dependent Couplings

Cited by in corpus (6)

• Spatially modulated and supersymmetric mass deformations of $\mathcal{N}=4$ SYM
• Yang-Baxter deformations and generalized supergravity -- A short summary
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua
• Open Strings in IIB Orientifold Reductions
• Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions
• Extended Gauge Theory Deformations From~Flux~Backgrounds