Compactification of 6d ${\cal N}=(1,0)$ quivers, 4d SCFTs and their holographic dual Massive IIA backgrounds

TL;DR

This paper explores the holographic duals of twisted compactifications of 6d ${ m N}=(1,0)$ SCFTs to 4d, using Massive IIA backgrounds, and analyzes their properties and degrees of freedom.

Contribution

It introduces a new class of Massive IIA backgrounds describing 4d quiver theories from 6d SCFTs and compares holographic results with field theory calculations.

Findings

Identification of 4d linear quiver theories from 6d SCFTs

Calculation of degrees of freedom across dimensions

Agreement between holographic and field theory observables

Abstract

In this paper we study an infinite family of Massive Type IIA backgrounds that holographically describe the twisted compactification of ${\cal N}=(1,0)$ six-dimensional SCFTs to four dimensions. The analysis of the branes involved suggests a four dimensional linear quiver QFT, that deconstructs the theory in six dimensions. For the case in which the system reaches a strongly coupled fixed point, we calculate some observables that we compare with holographic results. Two quantities measuring the number of degrees of freedom for the flow across dimensions are studied.