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$\alpha'$-expansion of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM from Fermi Gas

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arxiv 1607.01498 v4 pith:WVL6EL2N submitted 2016-07-06 hep-th

classification hep-th
keywords expansionanti-symmetricloopswilsonalphafermimathcaltheory
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the large 't Hooft coupling expansion of 1/2 BPS Wilson loops in the anti-symmetric representation in $ \mathcal{N}=4 $ super Yang-Mills (SYM) theory at the leading order in the 1/N expansion. Via AdS/CFT correspondence, this expansion corresponds to the $\alpha'$ expansion in bulk type IIB string theory. We show that this expansion can be systematically computed by using the low temperature expansion of Fermi distribution function, known as the Sommerfeld expansion in statistical mechanics. We check numerically that our expansion agrees with the exact result of anti-symmetric Wilson loops recently found by Fiol and Torrents.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory

    hep-th 2019-08 conditional novelty 6.0 of 10

    The paper expresses connected correlators of multiply-wound Wilson loops in N=4 SYM through explicit matrix-trace formulas, including a new inverse relation verified numerically up to order eight.

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