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1/4 BPS AdS$_3$/CFT$_2$

Yolanda Lozano, Niall T. Macpherson, Carlos Nunez, Anayeli Ramirez

TL;DR

The authors construct new AdS$_3$ × S$^2$ backgrounds in massive IIA (class I) preserving ${\cal N}=(0,4)$ and propose dual two-dimensional IR fixed-point CFTs built from two coupled linear quivers. They define the UV building blocks, enforce anomaly cancellation, and compute the central charges in both the field theory and holographic descriptions, finding agreement in nontrivial examples. A formal mapping to AdS$_7$ backgrounds is presented, suggesting that the 2d CFTs arise from compactifying 6d ${\cal N}=(1,0)$ CFTs on a CY$_2$ with D2-D4 defect branes, thereby illustrating a flow across dimensions. The work establishes a concrete dictionary between AdS$_3$ massive IIA solutions and 2d ${\cal N}=(0,4)$ quiver CFTs and opens the way for further cross-checks and extensions such as non-Abelian T-dual completions and additional RG-flow analyses.

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.

1/4 BPS AdS$_3$/CFT$_2$

TL;DR

The authors construct new AdS × S backgrounds in massive IIA (class I) preserving and propose dual two-dimensional IR fixed-point CFTs built from two coupled linear quivers. They define the UV building blocks, enforce anomaly cancellation, and compute the central charges in both the field theory and holographic descriptions, finding agreement in nontrivial examples. A formal mapping to AdS backgrounds is presented, suggesting that the 2d CFTs arise from compactifying 6d CFTs on a CY with D2-D4 defect branes, thereby illustrating a flow across dimensions. The work establishes a concrete dictionary between AdS massive IIA solutions and 2d quiver CFTs and opens the way for further cross-checks and extensions such as non-Abelian T-dual completions and additional RG-flow analyses.

Abstract

We discuss new solutions in massive Type IIA supergravity with AdSS factors, preserving SUSY. We propose a duality with a precise family of quivers that flow to 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 CFTs, suggesting the existence of a flow across dimensions between the CFTs.

Paper Structure

This paper contains 5 sections, 23 equations, 5 figures, 1 table.

Table of Contents

  1. Introduction
  2. The Geometry
  3. The Field Theory
  4. Mapping to $\text{AdS}_7$ backgrounds
  5. Conclusions

Figures (5)

  • 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 wrapped D6 branes. The crosses indicate D4 and wrapped D8 branes.
  • Figure 2: The building block of our theories.
  • Figure 3: A generic quiver field theory whose IR is dual to the holographic background defined by eqs.\ref{['eq:background']}-\ref{['profileh8final']}.
  • Figure 4: Hanany-Witten set-up associated with our generic quiver in figure \ref{['figurageneral']}.
  • Figure 5: Quiver consisting of two rows of linearly increasing colour groups, terminated with the addition of flavour groups.