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Supersymmetry breaking metastable vacua in runaway quiver gauge theories

Inaki Garcia-Etxebarria, Fouad Saad, Angel M. Uranga

TL;DR

The paper investigates metastable supersymmetry breaking in quiver gauge theories arising from D-branes at toric singularities, focusing on DSB branes augmented with massive flavors via D7-branes. It develops a diagrammatic, analytic method to compute one-loop masses of pseudomoduli, enabling closed-form results and broad generalization beyond the dP1 example. The authors demonstrate metastable vacua in several explicit toric cases (including dP1, dP2, dP3, PdP4, and Y^{p,q} families) and provide a general framework showing how Seiberg duality combined with flavor couplings yields ISS-like SUSY breaking with lifted pseudomoduli. This work strengthens the connection between geometric properties (obstructed complex deformations) and dynamical SUSY breaking in string-theoretic constructions, with implications for model building and gauge mediation in string theory.

Abstract

In this paper we consider quiver gauge theories with fractional branes whose infrared dynamics removes the classical supersymmetric vacua (DSB branes). We show that addition of flavors to these theories (via additional non-compact branes) leads to local meta-stable supersymmetry breaking minima, closely related to those of SQCD with massive flavors. We simplify the study of the one-loop lifting of the accidental classical flat directions by direct computation of the pseudomoduli masses via Feynman diagrams. This new approach allows to obtain analytic results for all these theories. This work extends the results for the $dP_1$ theory in hep-th/0607218. The new approach allows to generalize the computation to general examples of DSB branes, and for arbitrary values of the superpotential couplings.

Supersymmetry breaking metastable vacua in runaway quiver gauge theories

TL;DR

The paper investigates metastable supersymmetry breaking in quiver gauge theories arising from D-branes at toric singularities, focusing on DSB branes augmented with massive flavors via D7-branes. It develops a diagrammatic, analytic method to compute one-loop masses of pseudomoduli, enabling closed-form results and broad generalization beyond the dP1 example. The authors demonstrate metastable vacua in several explicit toric cases (including dP1, dP2, dP3, PdP4, and Y^{p,q} families) and provide a general framework showing how Seiberg duality combined with flavor couplings yields ISS-like SUSY breaking with lifted pseudomoduli. This work strengthens the connection between geometric properties (obstructed complex deformations) and dynamical SUSY breaking in string-theoretic constructions, with implications for model building and gauge mediation in string theory.

Abstract

In this paper we consider quiver gauge theories with fractional branes whose infrared dynamics removes the classical supersymmetric vacua (DSB branes). We show that addition of flavors to these theories (via additional non-compact branes) leads to local meta-stable supersymmetry breaking minima, closely related to those of SQCD with massive flavors. We simplify the study of the one-loop lifting of the accidental classical flat directions by direct computation of the pseudomoduli masses via Feynman diagrams. This new approach allows to obtain analytic results for all these theories. This work extends the results for the theory in hep-th/0607218. The new approach allows to generalize the computation to general examples of DSB branes, and for arbitrary values of the superpotential couplings.

Paper Structure

This paper contains 21 sections, 83 equations, 25 figures.

Table of Contents

  1. Introduction
  2. The ISS model revisited
  3. The ISS metastable minimum
  4. The Goldstone bosons
  5. Meta-stable vacua in quiver gauge theories with DSB branes
  6. The complex cone over $dP_1$
  7. Additional examples: The $dP_2$ case
  8. The general case
  9. The general argument
  10. Construction of the flavored theories
  11. Seiberg duality and one-loop masses
  12. Additional examples
  13. The $dP_3$ case
  14. Phase 1 of $PdP_4$
  15. The $Y^{p,q}$ family
  16. ...and 6 more sections

Figures (25)

  • Figure 1: Schematic tadpole contribution to the ${\rm Im}\,\xi_-$ two point function. Both bosons and fermions run in the loop.
  • Figure 2: Extended quiver diagram for a $dP_1$ theory with flavors, from Franco:2006es.
  • Figure 3: Quiver diagram for the $dP_2$ theory.
  • Figure 4: Quiver diagram for the $dP_2$ theory with $M$ DSB fractional branes.
  • Figure 5: Quiver for the $dP_2$ theory with $M$ fractional branes and flavors.
  • ...and 20 more figures