Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Conformal to confining SQFTs from holography

Dimitrios Chatzis, Ali Fatemiabhari, Carlos Nunez, Peter Weck

TL;DR

Chatzis, Fatemiabhari, Nunez, and Weck construct three infinite families of smooth Type II holographic backgrounds that are dual to SUSY-preserving deformations of 4d SCFTs via current VEVs and twisted circle compactifications, flowing to 3d ${\cal N}=2$ confining QFTs. The geometries include deformations of $AdS_5$ with internal manifolds like $S^5$, $T^{1,1}$, and $Y^{p,q}$, GM-based GM backgrounds, and massive IIA D6-D8-NS5 constructions, all preserving four supercharges and connected by a universal uplift from 5d gauged supergravity. The authors compute holographic observables—Wilson loops, Entanglement Entropy, and a monotonic flow central charge $c_{flow}$—showing a DOF flow from UV 4d CFT data to IR gapped 3d physics, and revealing CS sectors and domain walls in the IR. The work provides a robust holographic framework to study confinement with fundamental matter and non-Lagrangian UV fixed points, offering tools to analyze CS dynamics and vacuum structure in strongly coupled QFTs across dimensions.

Abstract

In this paper we present three new families of smooth Type II string theory backgrounds. These are dual to supersymmetry-preserving deformations of 4d SCFTs. The deformations include a VEV for a global current and a `twisted compactification' on a circle. We study various holographic aspects of the dual QFTs, focusing on Wilson loops and Entanglement Entropy. Additionally, we present a monotonic quantity calculating the density of degrees of freedom in terms of the energy, which interpolates between the IR 3d gapped theory and the 4d SCFT result. Other probes related to global aspects of the QFTs are briefly discussed.

Conformal to confining SQFTs from holography

TL;DR

Chatzis, Fatemiabhari, Nunez, and Weck construct three infinite families of smooth Type II holographic backgrounds that are dual to SUSY-preserving deformations of 4d SCFTs via current VEVs and twisted circle compactifications, flowing to 3d confining QFTs. The geometries include deformations of with internal manifolds like , , and , GM-based GM backgrounds, and massive IIA D6-D8-NS5 constructions, all preserving four supercharges and connected by a universal uplift from 5d gauged supergravity. The authors compute holographic observables—Wilson loops, Entanglement Entropy, and a monotonic flow central charge —showing a DOF flow from UV 4d CFT data to IR gapped 3d physics, and revealing CS sectors and domain walls in the IR. The work provides a robust holographic framework to study confinement with fundamental matter and non-Lagrangian UV fixed points, offering tools to analyze CS dynamics and vacuum structure in strongly coupled QFTs across dimensions.

Abstract

In this paper we present three new families of smooth Type II string theory backgrounds. These are dual to supersymmetry-preserving deformations of 4d SCFTs. The deformations include a VEV for a global current and a `twisted compactification' on a circle. We study various holographic aspects of the dual QFTs, focusing on Wilson loops and Entanglement Entropy. Additionally, we present a monotonic quantity calculating the density of degrees of freedom in terms of the energy, which interpolates between the IR 3d gapped theory and the 4d SCFT result. Other probes related to global aspects of the QFTs are briefly discussed.
Paper Structure (15 sections, 46 equations, 2 figures)

This paper contains 15 sections, 46 equations, 2 figures.

Table of Contents

  1. Introduction
  2. General idea and outline
  3. Geometry: new families of backgrounds
  4. Deformed AdS$_5\times S^5$ and AdS$_5\times \mathrm{Y}^{p,q}$ backgrounds
  5. Deformed AdS$_5\times \mathrm{T}^{1,1}$ background
  6. Deformed AdS$_5\times \mathrm{Y}^{p,q}$ backgrounds
  7. Deformed Gaiotto-Maldacena backgrounds
  8. Deformed D6-D8-NS5 AdS$_5$ backgrounds
  9. Field theory and observables
  10. Comments on the dual QFTs
  11. Observables
  12. Wilson loops
  13. Entanglement Entropy on the strip
  14. Flow central charge
  15. Other observables

Figures (2)

  • Figure 1: On the left we plot the length of separation of the quark-anti-quark system \ref{['L-Wilson']} as a function of the turning point of the string $r_0$. The parameters are fixed to $l=\mu=q=1$. On the right is the energy \ref{['energy-Wilson']} with respect to the length of the separation of the pair, which interpolates between a Coulomb-like behaviour dictated by conformality and a linear one for large values of $L$, signaling confinement.
  • Figure 2: On the left, we plot the length function and its approximate expression in terms of $r_0$ (the turning point). On the right is the EE as a function of the length.