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1	THE 1/N CORRECTION TO THE D3-BRANE DESCRIPTION OF CIRCULAR WILSON LOOPS // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 28-32 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	1280

THE 1/N CORRECTION TO THE D3-BRANE DESCRIPTION OF CIRCULAR WILSON LOOPS // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 28-32

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

1280

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