Abstract
In this paper we propose a linear quiver with gauge groups of increasing rank as field theory dual to the AdS 5 background constructed by Sfetsos and Thompson through non-Abelian T-duality. The formalism to study 4d $$ \mathcal{N} $$ = 2 SUSY CFTs developed by Gaiotto and Maldacena is essential for our proposal. We point out an interesting relation between (Hopf) Abelian and non-Abelian T-dual backgrounds that allows to see both backgrounds as different limits of a solution constructed by Maldacena and Nunez. This suggests different completions of the long quiver describing the CFT dual to the nonAbelian T-dual background that match different observables.
Highlights
In this paper we will study the interplay between T-duality and the AdS/CFT correspondence
In this paper we propose a linear quiver with gauge groups of increasing rank as field theory dual to the AdS5 background constructed by Sfetsos and Thompson through non-Abelian T-duality
The formalism to study 4d N = 2 SUSY CFTs developed by Gaiotto and Maldacena is essential for our proposal
Summary
We lay out the two Type IIA backgrounds that motivate this investigation. We start by presenting the well-known IIB AdS5 × S5 background, to fix notation and conventions. The vielbein, metric and Ramond five-form read,. 2ω1 = cos ψdθ + sin ψ sin θdφ, 2ω2 = − sin ψdθ + cos ψ sin θdφ, 2ω3 = dψ + cos θdφ. For α; both β and φ vary in [0, 2π], θ ranges in [0, π] and ψ in [0, 4π]. We define the generic polyform F, the quantised Page charges and the constants needed for their calculation as,. We impose the D3-brane charge to be an integer N3, which implies a quantisation for the size of the space L,
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