Abstract
M-theory on AdS7 × S4 admits a description where the AdS7 factor is constructed as a timelike Hopf fibration over a non-compact three dimensional complex projective space {tilde{mathrm{mathbb{CP}}}}^3 [1]. We consider the worldvolume theory for M5-branes at a fixed {tilde{mathrm{mathbb{CP}}}}^3 radius which, after reduction along the timelike fibre, is given by an Ω-deformed Yang-Mills theory with eight supercharges. Taking the radius to infinity then induces a classical RG flow. We construct the fixed point action which has an enhanced 24 supercharges and which can be understood as the (2, 0) theory of M5-branes on flat space reduced along a compact null Killing direction.
Highlights
Interpreted as solitons so that the extra dimension is recovered non-perturbatively and it has been argued that this is a complete description [4, 5]
We will take the φ → ∞ limit of the theory derived in the previous section and show that the supersymmetry becomes enhanced to 24 supercharges, providing a holographic realization of the classical RG flow mechanism proposed in [16]
The timelike reduction was constructed by considering brane embeddings at finite CP3 radius and turns out to be a non-abelian field theory with eight supersymmetries which resembles an Ω-deformation of five-dimensional euclidean superYang-Mills
Summary
According to the AdS/CFT correspondence, the worldvolume theory for a stack of M5-. branes is dual to M-theory in an AdS7 × S4 background. In appendix C we derive the corresponding 32 conformal Killing spinors for the six-dimensional boundary metric. On the other hand in the limit ρ → ∞ we find the boundary metric ds2ρ→∞ This is six-dimensional Minkowski space, as one would expect to find in the traditional flow to the boundary of AdS7 (in general the boundary is only defined up to a conformal class). In this case the coordinate x+ has a finite range x+ ∈ (−πR+, πR+).
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