Electrostatic Description of Five-dimensional SCFTs

Abstract

In this paper we discuss an infinite class of AdS 6 backgrounds in Type IIB supergravity dual to five dimensional SCFTs whose low energy description is in terms of linear quiver theories. The quantisation of the Page charges imposes that each solution is determined once a convex, piece-wise linear function is specified. In the dual field theory, we interpret this function as encoding the ranks of colour and flavour groups in the associated quiver. We check our proposal with several examples and provide general expressions for the holographic central charge and the Wilson loop VEV. Some solutions outside this general class, with less clear quiver interpretation, are also discussed.

Comments on non-Abelian T-duals and their holographic description

“…Here we continue with the discussion about the holographic description of AdS 4 backgrounds obtained via NATD using the electrostatic-like problem set-up developed in [15], providing an interpretation of NATDs as a zoom-in on backgrounds that have a well defined holographic dual, along similar lines to the AdS 6 case in [22].…”

“…In [22], by using the electrostatic problem formalism, evidence was presented on how the non-Abelian T-dual of AdS 6 in massive Type IIA backgrounds could be thought of as a particular zoom-in of a more general solution, which possesses a well-defined holographic dual. Here, we give a similar argument for the NATD of AdS 4 in Type IIA Supergravity.…”

Non-Integrability of Strings in $AdS_{6}\times S^{2}\timesΣ$ Background and its 5D Holographic Duals

“…Beyond this we can also cite the abelian and non-abelian T-duals backgrounds, in which the dual CFT is not well known [9,19,28]. In this direction, very recently an electrostatic description of the correspondence above has been found in [29]. In this description, the dual theory can be readily identified and other solutions can be described.…”

“…In this section we review the Type IIB background as described in Ref. [29]. The full configuration consists of a metric, the dilaton, B 2 ,C 2 and C 0 -fields in the NS and Ramond sectors respectively.…”

“…Due to the above Laplace equation and boundary conditions, the authors of Ref. [29] called this approach as an "electrostatic description". The solution of the above equation is given by…”