Two dimensional ${\cal N}=(0,4)$ quivers dual to AdS$_3$ solutions in massive IIA

TL;DR

This work identifies an infinite family of AdS$_3\times S^2$ backgrounds in massive IIA preserving ${\cal N}=(0,4)$ and proposes a precise duality to two-row quiver CFTs built from coupled ${\cal N}=(4,4)$ blocks, which flow to IR fixed points with ${\cal N}=(0,4)$ SUSY. Central charges and anomaly structures are matched between the gravity and field theory descriptions in the long-quiver limit, with multiple explicit examples validating the correspondence. The study links Page charges and brane content to quiver data via a Hanany-Witten picture, and demonstrates the necessity of operating within the gravity regime to achieve consistent holographic results, including a resolution to a puzzle in a highly intricate quiver through state decoupling. Overall, the paper advances the holographic dictionary for 2d ${\cal N}=(0,4)$ SCFTs and opens avenues for further explorations of operator spectra and non-Abelian T-duality-driven completions.

Abstract

In this paper we discuss an infinite family of new solutions in massive Type IIA supergravity with AdS$_3\times$S$^2$ factors, preserving ${\cal N}=(0,4)$ 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.

Figures (9)

• Figure 1: The generic Hanany-Witten set-up associated with our backgrounds. The vertical lines are NS-five branes. The horizontal lines represent D2 and D6 branes. The crosses indicate D4 and D8 branes.
• Figure 2: The building block of our theories. The solid black line represents a $(4,4)$ hypermultiplet. The grey line represents a $(0,4)$ hypermultiplet. The dashed line represents a $(0,2)$ Fermi multiplet. Inside the gauge group SU($N$) run $(4,4)$ SUSY vector multiplets. The groups SU($\hat{P}$), SU($Q$) and SU($R$) can be gauge or global.
• Figure 3: A generic quiver field theory whose IR is dual to the holographic background defined by the functions in \ref{['profileh4sp']}-\ref{['profileh8sp']}. As before, the solid black line represents a $(4,4)$ hypermultiplet. The grey line represents a $(0,4)$ hypermultiplet and the dashed line represents a $(0,2)$ Fermi multiplet. ${\cal N}=(4,4)$ vector multiplets are the degrees of freedom in each gauged node.
• Figure 4: Hanany-Witten set-up associated with our generic quiver in figure \ref{['figurageneral']}. The vertical lines denote NS five branes, horizontal lines D2 and D6 colour branes. The crosses, D4 and D8 flavour branes.
• Figure 5: The quiver encoding our first example of quantum field theory. The conventions for the fields running along the different lines are the same as those in section \ref{['CFTsect']}.