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From conformal to confining field theories using holography

Ali Fatemiabhari, Carlos Nunez

Abstract

We construct a new family of Type IIB backgrounds that are dual to five dimensional conformal field theories compactified and deformed by VEVs of certain operators. This generates an RG flow into a smooth background dual to non-SUSY gapped field theories in four dimensions. We study various holographic observables: a monotonic quantity associated with the number of degrees of freedom, Wilson loops that interpolate between conformal and confining behaviour with the possibility of screening, Entanglement Entropy, etc. We also give a prescription to compute the Holographic Complexity in this type of backgrounds and calculate the spectrum of spin-two glueballs of the field theories.

From conformal to confining field theories using holography

Abstract

We construct a new family of Type IIB backgrounds that are dual to five dimensional conformal field theories compactified and deformed by VEVs of certain operators. This generates an RG flow into a smooth background dual to non-SUSY gapped field theories in four dimensions. We study various holographic observables: a monotonic quantity associated with the number of degrees of freedom, Wilson loops that interpolate between conformal and confining behaviour with the possibility of screening, Entanglement Entropy, etc. We also give a prescription to compute the Holographic Complexity in this type of backgrounds and calculate the spectrum of spin-two glueballs of the field theories.
Paper Structure (29 sections, 153 equations, 10 figures)

This paper contains 29 sections, 153 equations, 10 figures.

Table of Contents

  1. Introduction
  2. General idea of this paper
  3. The supergravity background
  4. Behaviour at special points
  5. Page charges
  6. Dual Field Theories and Observables
  7. The holographic central charge
  8. The holographic central charge at fixed points ($r\rightarrow\infty$)
  9. The flow-central charge: a monotonic c-function for the flow across dimensions
  10. Wilson Loops
  11. Screening
  12. Entanglement Entropy
  13. Holographic Complexity
  14. Spin-two glueballs
  15. A stable background?
  16. ...and 14 more sections

Figures (10)

  • Figure 1: A linear quiver. The balancing condition implies $F_i = 2 N_i - N_{i-1}-N_{i+1}$
  • Figure 2: Structure of the 5d SCFTs under RG flow
  • Figure 3: The holographic central charge with parameters $c=1, \mu=1$
  • Figure 4: The flow-central charge with $c=1, \mu=1$
  • Figure 5: The length of the string between quark anti-quark pair and the energy with $c=1, \mu=1$
  • ...and 5 more figures