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Symmetric Wilson Loops beyond leading order
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abstract
We study the circular Wilson loop in the symmetric representation of U(N) in $\mathcal{N} = 4$ super-Yang-Mills (SYM). In the large N limit, we computed the exponentially-suppressed corrections for strong coupling, which suggests non-perturbative physics in the dual holographic theory. We also computed the next-to-leading order term in 1/N, and the result matches with the exact result from the k-fundamental representation.
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Semiclassical quantization of M5 brane probes wrapped on $\textrm{AdS}_3\times S^3$ and defect anomalies
One-loop free energies of the three AdS3 x S3 M5 brane probes vanish, confirming the absence of order N^0 terms in the defect b-anomaly coefficients.
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