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Higher rank Wilson loops from a matrix model

Sean A Hartnoll, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2006, Issue: 08, Pages: 17 pages - 026

Swansea University Author: Prem Kumar Orcid Logo

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Abstract

We compute the circular Wilson loop of N=4 SYM theory at large N in the rank k symmetric and antisymmetric tensor representations. Using a quadratic Hermitian matrix model we obtain expressions for all values of the 't Hooft coupling. At large and small couplings we give explicit formulae and r...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2006
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URI: https://cronfa.swan.ac.uk/Record/cronfa1562
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Abstract: We compute the circular Wilson loop of N=4 SYM theory at large N in the rank k symmetric and antisymmetric tensor representations. Using a quadratic Hermitian matrix model we obtain expressions for all values of the 't Hooft coupling. At large and small couplings we give explicit formulae and reproduce supergravity results from both D3 and D5 branes within a systematic framework.
Item Description: This paper was important in settling a puzzle about computing Wilson loops using D-branes in string theory. Applying a well-known relation between supersymmetric Wilson loops and a Hermitian matrix model, we showed how D3-branes and D5-branes in string theory compute loops in symmetric and antisymmetric tensor representations.
College: Faculty of Science and Engineering
Issue: 08
Start Page: 17 pages
End Page: 026