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.

arXiv comment22 pages, 1 figure; v2: references added; v3: discussions added, typos corrected, and published in Physical Review D

References in corpus (45)

• String Theory Dynamics In Various Dimensions
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Bubbling AdS space and 1/2 BPS geometries
• Wilson Loops and Minimal Surfaces
• From weak to strong coupling in ABJM theory
• Covariant Action for the Super-Five-Brane of M-Theory
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
• Holographic Wilson Loops
• All-genus calculation of Wilson loops using D-branes
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• M5-branes from gauge theories on the 5-sphere
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Supersymmetric Gauge Theories on the Five-Sphere
• On gravitational description of Wilson lines
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• Gravity duals of half-BPS Wilson loops
• On the equivalence of different formulations of the M Theory five--brane
• 1/2-BPS states in M theory and defects in the dual CFTs
• $N^3$-behavior from 5D Yang-Mills theory
• Exact Half-BPS Flux Solutions in M-theory I, Local Solutions
• Instantons on the 5-sphere and M5-branes
• Bubbling Geometries for Half BPS Wilson lines
• Stable Wrapped Branes
• Perturbative partition function for a squashed S^5
• Multiply wound Polyakov loops at strong coupling
• Six-Dimensional Tensionless Strings In The Large N Limit
• Correlation Functions of Operators and Wilson Surfaces in the d=6, (0,2) Theory in the Large N Limit
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• M5-branes and Wilson Surfaces
• Wilson Loops in 5d N=1 SCFTs and AdS/CFT
• Supersymmetric theories on squashed five-sphere
• 5D super Yang-Mills theory and the correspondence to AdS${}_7$/CFT${}_6$
• The general M5-brane superconformal index
• Wilson loops in Five-Dimensional Super-Yang-Mills
• Factorization of 5D super Yang-Mills on $Y^{p,q}$ spaces
• Localisation on Sasaki-Einstein manifolds from holomophic functions on the cone
• Exact results for five-dimensional superconformal field theories with gravity duals
• Operator Product Expansion of Wilson surfaces from M5-branes
• Bubbling Calabi-Yau geometry from matrix models
• Wilson-Polyakov surfaces and M-theory branes
• Supersymmetric gauge theories, Coulomb gases and Chern-Simons matrix models

Cited by in corpus (18)

• A new approach toward geometrical concept of black hole thermodynamics
• From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects
• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$
• Holographic entanglement entropy from probe M-theory branes
• Surface operators in the 6d $\mathcal{N}=(2,0)$ theory
• Chern-Simons theory from M5-branes and calibrated M2-branes
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Indices for 6 dimensional superconformal field theories
• Black Probes of Schrödinger Spacetimes
• Observations on BPS observables in 6d
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Note on the self-duality of gauge fields in topologically nontrivial spacetime
• Towards 2+4 formulation of M5-brane
• Holographic M5 branes in $Ad{S}_7\times S^4$
• More Holographic M5 branes in $Ad{S}_7\times S^4$
• On some 1/4 BPS Wilson-'t Hooft loops
• From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy
• $\kappa$-symmetric M5 brane web for defects in $Ad{S}_7/CF{T}_6$ holography