Three-dimensional N=4 Linear Quivers and non-Abelian T-duals

Abstract

In this paper we construct a new Type IIB background with an $Ad{S}_4$ factor that preserves $\mathcal{N}=4$ Supersymmetry. This solution is obtained using a non-Abelian T-duality transformation on the Type IIA reduction of the $Ad{S}_4\times S^7$ background. We interpret our configuration as a patch of a more general background with localised sources, dual to the renormalisation fixed point of a $T_{\rho }^{\hat{\rho }}(SU(N))$ quiver field theory. This relates explicitly the $Ad{S}_4$ geometry to a D3-D5-NS5 brane intersection, illuminating what seems to be a more general phenomenon, relating $Ad{S}_{p+1}$ backgrounds generated by non-Abelian T-duality to Dp-D(p+2)-NS5 branes intersections.

36 pages, various figures. Minor changes, to match the version to be published in JHEP

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