Abstract
We find a new $\mathcal{N}=2$ $AdS_4$ solution in M-theory supported by purely magnetic flux via a sequence of abelian and non-abelian T-dualities. This provides the second known example in this class besides the uplift of the Pernici and Sezgin solution to 7d gauged supergravity constructed in the eighties. We compute the free energy of the solution, and show that it scales as $N^{3/2}$. It is intriguing that even though the natural holographic interpretation is in terms of M5-branes wrapped on a special Lagrangian 3-cycle, this solution does not exhibit the expected $N^3$ behavior.
Highlights
20],1 even if large classes of fixed point theories are known to exist in 5 dimensions [22,23,24] with expected AdS6 duals
We find a new N = 2 AdS4 solution in M-theory supported by purely magnetic flux via a sequence of abelian and non-abelian T-dualities
The previous analysis suggests a dual CFT in the r ∈ [0, π] region defined in terms of a U(N6)k4 ×U(N6)−k4 quiver gauge theory with N = 2 supersymmetry, sourced by D6-branes spanned on the R1,2 × M1 × Sφ1 × S2 directions
Summary
This solution was constructed in [11], where some properties of the associated dual CFT were analyzed. More technical properties of the derivation that will be useful for the study of the backgrounds constructed from this one are presented in appendix A. The background arises as the NAT dual of the AdS4 × CP3 background with respect to a freely acting SU(2) in the parameterization of the CP3 as a foliation in T 1,1 = S2 × S3: ds2(CP3) = dζ. (χ, ξ) parameterize the new 2-sphere arising through the NAT duality transformation, that we will denote by S2. R is the non-compact coordinate generated by the transformation, which lives in R+ The presence of this non-compact direction is intimately related to the long-standing open problem of extending NAT duality beyond spherical world sheets. The reader is referred to these papers for more details
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