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.
Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
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abstract
In this work (which supersedes our previous preprint arXiv:1112.2345) we determine the expectation value of the N=4$ SU(N) SYM Lagrangian density operator in the presence of an infinitely heavy static particle in the symmetric representation of SU(N), by means of a D3-brane probe computation. The result that we obtain coincides with two previous computations of different observables, up to kinematical factors. We argue that these agreements go beyond the D-brane probe approximation, which leads us to propose an exact formula for the expectation value of various operators. In particular, we provide an expression for the total energy loss by radiation of a heavy particle in the fundamental representation.
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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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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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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.