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.
1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
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abstract
The standard prescription for computing Wilson loops in the AdS/CFT correspondence in the large coupling regime and tree-level involves minimizing the string action. In many cases the action has more than one saddle point as in the simple example studied in this paper, where there are two 1/4 BPS string solutions, one a minimum and the other not. Like in the case of the regular circular loop the perturbative expansion seems to be captured by a free matrix model. This gives enough analytic control to extrapolate from weak to strong coupling and find both saddle points in the asymptotic expansion of the matrix model. The calculation also suggests a new BMN-like limit for nearly BPS Wilson loop operators.
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Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
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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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Inner Horizon Saddles and a Spectral KSW Criterion
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.