M5-branes and Wilson Surfaces in AdS${}_7$/CFT${}_6$ Correspondence

Abstract

We study AdS${}_7$/CFT${}_6$ correspondence between M-theory on AdS${}_7\times S^4$ and the 6D $\mathcal{N}=(2,0)$ superconformal field theory. In particular we focus on Wilson surfaces. We use the conjecture that the (2,0) theory compactified on $S^1$ is equivalent to the 5D maximal super Yang-Mills (MSYM) and Wilson surfaces wrapping this $S^1$ correspond to Wilson loops in 5D MSYM. The Wilson loops in 5D MSYM obtained by the localization technique result in the Chern-Simons matrix model. We calculate the expectation values of Wilson surfaces in large rank symmetric representations and anti-symmetric representations by using this result. In the gravity side, the expectation values for probe M5-branes wrapping submanifolds of the background are computed. Consequently we find new, non-trivial evidence for the AdS${}_7$/CFT${}_6$ correspondence that the results in the gravity side perfectly agree with those in the CFT side.

22 pages, 1 figure; v2: references added; v3: discussions added, typos corrected, and published in Physical Review D

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Cited by in corpus (3)

• Black Probes of Schrödinger Spacetimes
• Observations on BPS observables in 6d
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle