Dynamics of a wavy plane Wilson surface observable from AdS-CFT correspondence

Abstract

Guided by the paper hep-th/0002106 by Polyakov and Rychkov, we compute the second variational derivative of a wavy plane Wilson surface observable, to find that a necessary condition for a proposed surface equation to be satisfied in the large $N$ limit is that we are in the critical dimension D=6.

23 pages, v2: clarifications, some numerical factors corrected

References in corpus (3)

• Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories
• Gauge fields - strings duality and the loop equation
• Loop dynamics and AdS/CFT correspondence

Cited by in corpus (1)

• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$