THE 1/N CORRECTION TO THE D3-BRANE DESCRIPTION OF CIRCULAR WILSON LOOPS
We consider the one-loop correction to the probe D3-brane action in AdS5 ×S 5 expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is given by the logarithm of the one-loop partition function of an Abelian N = 4 vector multiplet in AdS2 × S 2 geometry. This one-loop correction is expected to describe the subleading 1/N term in the expectation value of circular Wilson loop in the totally symmetric rank k representation in N = 4, SU(N) supersymmetric Yang-Mills theory at strong coupling. We also discuss a comparison with the matrix model.
Keywords: The AdS/CFT correspondence, Wilson loops, D-branes, matrix models, the heat kernel technique
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Issue: 12, 2014
Series of issue: Issue 12
Pages: 28 — 32
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