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Gauge/gravity duality and meta-stable dynamical supersymmetry breaking

Riccardo Argurio, Matteo Bertolini, Sebastian Franco, Shamit Kachru

TL;DR

The paper analyzes a four-node quiver gauge theory engineered from D-branes at a ZZ2 orbifold of the conifold, showing it supports both supersymmetric vacua and meta-stable SUSY-breaking vacua at weak coupling via ISS-like dynamics, with the masses generated dynamically through quantum moduli-space constraints. At strong coupling, the authors construct gravity dual descriptions that reproduce the low-energy dynamics: SUSY vacua arise from geometric deformations of the dual geometry, while a KPV-like mechanism yields meta-stable SUSY breaking with anti-D3 charge bound to wrapped D5-branes. A central theme is the proposed connection between ISS-type meta-stability and KPV-type SUSY breaking in a non-chiral setting, explored through Seiberg duality, duality cascades, and flux superpotentials. The work also discusses the stability issues, potential backreaction effects, and the prospects for a fully backreacted supergravity solution, highlighting implications for string phenomenology and the broader relationship between gauge/gravity duality and dynamical SUSY breaking.

Abstract

We engineer a class of quiver gauge theories with several interesting features by studying D-branes at a simple Calabi-Yau singularity. At weak 't Hooft coupling we argue using field theory techniques that these theories admit both supersymmetric vacua and meta-stable non-supersymmetric vacua, though the arguments indicating the existence of the supersymmetry breaking states are not decisive. At strong 't Hooft coupling we find simple candidate gravity dual descriptions for both sets of vacua.

Gauge/gravity duality and meta-stable dynamical supersymmetry breaking

TL;DR

The paper analyzes a four-node quiver gauge theory engineered from D-branes at a ZZ2 orbifold of the conifold, showing it supports both supersymmetric vacua and meta-stable SUSY-breaking vacua at weak coupling via ISS-like dynamics, with the masses generated dynamically through quantum moduli-space constraints. At strong coupling, the authors construct gravity dual descriptions that reproduce the low-energy dynamics: SUSY vacua arise from geometric deformations of the dual geometry, while a KPV-like mechanism yields meta-stable SUSY breaking with anti-D3 charge bound to wrapped D5-branes. A central theme is the proposed connection between ISS-type meta-stability and KPV-type SUSY breaking in a non-chiral setting, explored through Seiberg duality, duality cascades, and flux superpotentials. The work also discusses the stability issues, potential backreaction effects, and the prospects for a fully backreacted supergravity solution, highlighting implications for string phenomenology and the broader relationship between gauge/gravity duality and dynamical SUSY breaking.

Abstract

We engineer a class of quiver gauge theories with several interesting features by studying D-branes at a simple Calabi-Yau singularity. At weak 't Hooft coupling we argue using field theory techniques that these theories admit both supersymmetric vacua and meta-stable non-supersymmetric vacua, though the arguments indicating the existence of the supersymmetry breaking states are not decisive. At strong 't Hooft coupling we find simple candidate gravity dual descriptions for both sets of vacua.

Paper Structure

This paper contains 19 sections, 84 equations, 19 figures.

Table of Contents

  1. Introduction
  2. The theory
  3. Masses from quantum moduli spaces
  4. A ${ Z Z}_2$ orbifold of the conifold
  5. Fractional branes
  6. The duality cascade
  7. The last cascade step
  8. The meta-stable non-supersymmetric vacuum
  9. Meta-stable vacuum in $N_f=N_c$ SQCD
  10. Meta-stable vacuum in the ${ Z Z}_2$ orbifold of the conifold
  11. Gravity dual
  12. Effective superpotential and basic properties of the geometry
  13. Supersymmetric vacua
  14. Non-supersymmetric vacuum
  15. Comments on the full solution
  16. ...and 4 more sections

Figures (19)

  • Figure 1: Sub-quiver that dynamically generates masses for the flavors of the third node.
  • Figure 2: Quiver diagram for the conifold with $SU(r_1) \times SU(r_2)$ gauge group.
  • Figure 3: Quiver diagram for the ${ Z Z}_2$ orbifold of the conifold under consideration, for arbitrary numbers of fractional and regular D3-branes. We have labeled bifundamentals according to the parent field.
  • Figure 4: Quiver diagram for $(M,M,P,0)$ ranks.
  • Figure 5: Quiver generated by $N$ regular branes, $M~(1,1,0,0)$ and $P~(0,0,1,0)$ fractional branes.
  • ...and 14 more figures