Exact Bremsstrahlung and Effective Couplings

Abstract

We calculate supersymmetric Wilson loops on the ellipsoid for a large class of $\mathcal{N}=2$ SCFT using the localization formula of Hama and Hosomichi. From them we extract the radiation emitted by an accelerating heavy probe quark as well as the entanglement entropy following the recent works of Lewkowycz-Maldacena and Fiol-Gerchkovitz-Komargodski. Comparing our results with the $\mathcal{N}=4$ SYM ones, we obtain interpolating functions $f(g^2)$ such that a given $\mathcal{N}=2$ SCFT observable is obtained by replacing in the corresponding $\mathcal{N}=4$ SYM result the coupling constant by $f(g^2)$. These "exact effective couplings" encode the finite, relative renormalization between the $\mathcal{N}=2$ and the $\mathcal{N}=4$ gluon propagator, they interpolate between the weak and the strong coupling. We discuss the range of their applicability.

16 pages, 10 pages appendices, 4 figures. v2, journal version

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• Quiver CFT at strong coupling
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• (Mis-)Matching Type-B Anomalies on the Higgs Branch
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• Emitted Radiation and Geometry
• Wilson loop correlators at strong coupling in $\mathcal{N}=2$ quiver gauge theories
• Circular Wilson loop in N=2* super Yang-Mills theory at two loops and localization
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• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations