Abstract
In this paper we discuss an infinite family of new solutions in massive Type IIA supergravity with AdS3×S2 factors, preserving mathcal{N} = (0, 4) SUSY. After studying geometrical aspects of the backgrounds we propose a duality with a precise family of quivers that flow to (0,4) fixed points at low energies. These quivers consist on two families of (4,4) linear quivers coupled by matter fields. We present various tests of our proposal.
Highlights
One major line of research that came as a by-product of the Maldacena conjecture [1], is the study of supersymmetric and conformal field theories in diverse dimensions
We show that the new background solutions to massive IIA supergravity constructed recently in [47] contain the needed isometries to be dual to our Superconformal Field Theories (SCFTs)
This paper presents a new entry in the mapping between SCFTs and AdS-supergravity backgrounds, for the particular case of two-dimensional small N = (0, 4) SCFTs and backgrounds with AdS3×S2 factors
Summary
We start by discussing the solutions to massive IIA supergravity (with localised sources) obtained in the recent work [47]. We propose that these backgrounds are holographic duals to two dimensional CFTs preserving N = (0, 4) SUSY. The transformations are performed every time we cross an interval [2πk, 2π(k + 1)] To motivate this consider the following: in the limit where h4(ρ) and/or h8(ρ) become large compared with u(ρ) the NS 2-form in the presence of k large gauge transformations is approximately. The background in (2.4) is a SUSY solution of the massive IIA equations of motion if the functions h4, h8, u satisfy (away from localised sources), h4(ρ) = 0, h8(ρ) = 0, u (ρ) = 0. We will present an infinite family of solutions for which the functions are piecewise continuous
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