1 / N correction in the D3-brane description of a circular Wilson loop at strong coupling

We compute the one-loop correction to the probe D3-brane action in AdS sub(5) x S super(5) expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is essentially the logarithm of the one-loop partition function of an Abelian N = 4 vector multiplet in AdS sub(2) x S...

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Veröffentlicht in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2014-06, Vol.89 (12), Article 126008
Hauptverfasser: Buchbinder, E. I., Tseytlin, A. A.
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Sprache:eng
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Zusammenfassung:We compute the one-loop correction to the probe D3-brane action in AdS sub(5) x S super(5) expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is essentially the logarithm of the one-loop partition function of an Abelian N = 4 vector multiplet in AdS sub(2) x S super(2) geometry. This one-loop correction should be describing the subleading 1/N term in the expectation value of circular Wilson loop in the totally symmetric rank k representation in SU(N) supersymmetric Yang-Mills theory at strong coupling. In the limit 1 < k < N when the circular Wilson loop expectation values for the symmetric representation and for the product of k fundamental representations are expected to match, we find that this one-loop D3-brane correction agrees with the gauge theory result for the k-fundamental case.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.89.126008