Several observables in planar N=4 SYM, including the octagon anomalous dimension and Bremsstrahlung function, admit a once-subtracted dispersion representation over a positive measure in the coupling.
An exact formula for the radiation of a moving quark in N=4 super Yang Mills
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abstract
We derive an exact formula for the cusp anomalous dimension at small angles. This is done by relating the latter to the computation of certain 1/8 BPS Wilson loops which was performed by supersymmetric localization. This function of the coupling also determines the power emitted by a moving quark in N=4 super Yang Mills, as well as the coefficient of the two point function of the displacement operator on the Wilson loop. By a similar method we compute the near BPS expansion of the generalized cusp anomalous dimension.
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Exact large-N and strong-coupling results for Bremsstrahlung function in E-theory and D-theory N=2 SCFTs via matrix models, with closed-form non-perturbative contributions.
Two-loop effective string theory observables for Yang-Mills flux tubes in large-radius AdS are computed via transcendentality ansatz bootstrap, with Padé resummation used to probe interpolation toward small-radius weak-coupling AdS.
In 6D (2,0) theories, defect supersymmetric Rényi entropy contribution is linear in 1/n and equals a constant times (2b - d2); Casimir energy contribution equals -d2 (up to constant) in the chiral algebra limit.
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Positivity properties of observables in planar maximally supersymmetric Yang-Mills theory
Several observables in planar N=4 SYM, including the octagon anomalous dimension and Bremsstrahlung function, admit a once-subtracted dispersion representation over a positive measure in the coupling.
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Bremsstrahlung function in $\mathcal{N}=2$ SCFTs far beyond the supergravity limit
Exact large-N and strong-coupling results for Bremsstrahlung function in E-theory and D-theory N=2 SCFTs via matrix models, with closed-form non-perturbative contributions.
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Yang-Mills Flux Tube in AdS II: Effective String Theory
Two-loop effective string theory observables for Yang-Mills flux tubes in large-radius AdS are computed via transcendentality ansatz bootstrap, with Padé resummation used to probe interpolation toward small-radius weak-coupling AdS.
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From Weyl Anomaly to Defect Supersymmetric R\'enyi Entropy and Casimir Energy
In 6D (2,0) theories, defect supersymmetric Rényi entropy contribution is linear in 1/n and equals a constant times (2b - d2); Casimir energy contribution equals -d2 (up to constant) in the chiral algebra limit.