Three-dimensional N = 4 $$ \mathcal{N}=4 $$ linear quivers and non-Abelian T-duals

Abstract

In this paper we construct a new Type IIB background with an AdS 4 factor that preserves N = 4 Supersymmetry. This solution is obtained using a non-Abelian T-duality transformation on the Type IIA reduction of the AdS 4 × S 7 background. We interpret our configuration as a patch of a more general background with localised sources, dual to the renormalisation fixed point of a Tρ ρ (SU(N )) quiver field theory. This relates explicitly the AdS 4 geometry to a D3-D5-NS5 brane intersection, illuminating what seems to be a more general phenomenon, relating AdS p+1 backgrounds generated by non-Abelian T-duality to Dp-D(p + 2)-NS5 branes intersections.

Penrose limits of Abelian and non-Abelian T-duals of AdS5 × S5 and their field theory duals

“…After this completion each node has an N = 2 vector multiplet, and each link between two adjacent nodes contains an N = 2 bifundamental hypermultiplet (hence satisfying the condition for conformality N f = 2N c for each node). Similar completions have been found in different backgrounds obtained using non-Abelian T-duality, see for example the papers in [45][46][47].…”

“…In the papers [44][45][46][47], the field theoretical interpretation of non-Abelian T-duality (in the context of Holography) was first addressed in detail. One outcome of these works is that non-Abelian T-duality changes the dual field theory.…”

“…This is in accordance with that fact that, contrary to its Abelian counterpart, non-Abelian T-duality has not been proven to be a string theory symmetry. The results in [44][45][46][47], open up an exciting new way to generate new quantum field theories in the context of Holography.…”

The AdS 5 non-Abelian T-dual of Klebanov-Witten as a N = 1 $$ \mathcal{N}=1 $$ linear quiver from M5-branes

“…The results in [44][45][46] open up an exciting new way to generate new quantum field theories in the context of Holography. In these examples the dual CFT arises in the low energy limit of a given Dp-NS5 brane intersection.…”

“…It was in the papers [44][45][46], where the field theoretical interpretation of non-Abelian T-duality (in the context of Holography) was first addressed in detail. One outcome of these works is that non-Abelian T-duality changes the dual field theory.…”