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Strong coupling expansion of circular Wilson loops and string theories in AdS5 × S5 and AdS4 × CP3

Author(s): Giombi, Simone; Tseytlin, Arkady A

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dc.contributor.authorGiombi, Simone-
dc.contributor.authorTseytlin, Arkady A-
dc.date.accessioned2024-04-23T18:20:30Z-
dc.date.available2024-04-23T18:20:30Z-
dc.date.issued2020-10-20en_US
dc.identifier.citationGiombi, Simone, Tseytlin, Arkady A. (2020). Strong coupling expansion of circular Wilson loops and string theories in AdS5 × S5 and AdS4 × CP3. Journal of High Energy Physics, 2020 (10), 10.1007/jhep10(2020)130en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1028pd33-
dc.description.abstract<jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>We revisit the problem of matching the strong coupling expansion of the<jats:inline-formula><jats:alternatives><jats:tex-math>$$ \frac{1}{2} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math></jats:alternatives></jats:inline-formula>BPS circular Wilson loops in<jats:inline-formula><jats:alternatives><jats:tex-math>$$ \mathcal{N} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math></jats:alternatives></jats:inline-formula>= 4 SYM and ABJM gauge theories with their string theory duals in AdS<jats:sub>5</jats:sub><jats:italic>× S</jats:italic><jats:sup>5</jats:sup>and AdS<jats:sub>4</jats:sub><jats:italic>× CP</jats:italic><jats:sup>3</jats:sup>, at the first subleading (one-loop) order of the expansion around the minimal surface. We observe that, including the overall factor 1/<jats:italic>g</jats:italic><jats:sub>s</jats:sub>of the inverse string coupling constant, as appropriate for the open string partition function with disk topology, and a universal prefactor proportional to the square root of the string tension<jats:italic>T</jats:italic>, both the SYM and ABJM results precisely match the string theory prediction. We provide an explanation of the origin of the<jats:inline-formula><jats:alternatives><jats:tex-math>$$ \sqrt{T} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msqrt><mml:mi>T</mml:mi></mml:msqrt></mml:math></jats:alternatives></jats:inline-formula>prefactor based on special features of the combination of one-loop determinants appearing in the string partition function. The latter also implies a natural generalization<jats:italic>Z</jats:italic><jats:sub><jats:italic>χ</jats:italic></jats:sub>∼ (<jats:inline-formula><jats:alternatives><jats:tex-math>$$ \sqrt{T}/{g}_{\mathrm{s}} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msqrt><mml:mi>T</mml:mi></mml:msqrt><mml:mo>/</mml:mo><mml:msub><mml:mi>g</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:math></jats:alternatives></jats:inline-formula>)<jats:sup><jats:italic>χ</jats:italic></jats:sup>to higher genus contributions with the Euler number<jats:italic>χ</jats:italic>, which is consistent with the structure of the 1/<jats:italic>N</jats:italic>corrections found on the gauge theory side.</jats:p>en_US
dc.languageenen_US
dc.relation.ispartofJournal of High Energy Physicsen_US
dc.rightsFinal published version. This is an open access article.en_US
dc.subjectAdS-CFT Correspondence, Wilson, ’t Hooft and Polyakov loops, Superstrings and Heterotic Strings, 1/N Expansionen_US
dc.titleStrong coupling expansion of circular Wilson loops and string theories in AdS5 × S5 and AdS4 × CP3en_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/jhep10(2020)130-
dc.date.eissued2020-10-20en_US
dc.identifier.eissn1029-8479-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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