Abstract
We discuss new solutions in massive Type IIA supergravity with AdS$_3\times$S$^2$ factors, preserving ${\cal N}=(0,4)$ SUSY. We propose a duality with a precise family of quivers that flow to ${\cal N}=(0,4)$ fixed points at low energies. These quivers consist on two families of linear quivers coupled by matter fields. Physical observables such as the central charges provide stringent checks of the proposed duality. A formal mapping is presented connecting our backgrounds with those dual to six dimensional ${\cal N}=(1,0)$ CFTs, suggesting the existence of a flow across dimensions between the CFTs.
Highlights
An important by-product of the Maldacena conjecture [1], has been a thorough study of supersymmetric and conformal field theories (CFTs) in various dimensions
This paper presents a new entry in the mapping between CFTs and AdS-supergravity backgrounds, for the case of two-dimensional N 1⁄4 ð0; 4Þ CFTs and backgrounds with AdS3 × S2 factors
We have proposed explicit 2d dual CFTs based on the Hanany-Witten setups implied by the Page charges of the solutions
Summary
An important by-product of the Maldacena conjecture [1], has been a thorough study of supersymmetric and conformal field theories (CFTs) in various dimensions. The case of two-dimensional CFTs and their AdS duals is attractive, due to the interest that CFTs in two dimensions and AdS3 solutions present in other areas of theoretical physics This applies in particular to the microscopical study of black holes, where major progress has been achieved [34,35,36,37,38,39]. Two-dimensional CFTs with N 1⁄4 ð0; 4Þ supersymmetry constructed in the literature [59,60,61,62,63] await as well their holographic description In this context, an important recent development has been the complete classification of AdS3 solutions to massive IIA supergravity with small N 1⁄4 ð0; 4Þ supersymmetry (and SU(2) structure) achieved in [64]. We provide a formal mapping to the AdS7 solutions constructed in [22] that suggests the existence of a flow across dimensions [66,67] between the dual CFTs
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