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Supersymmetric embedding of antibrane polarization

Lars Aalsma, Magnus Tournoy, Jan Pieter van der Schaar, Bert Vercnocke

TL;DR

This work argues that anti-D3-branes polarizing in the KS throat break supersymmetry in a metastable, spontaneous fashion, and that a fully consistent, linearly supersymmetric description necessitates including Kaluza-Klein modes on the internal $S^2$ together with specific irrelevant deformations of ${ m N}=4$ SYM. The authors construct a concrete supersymmetric model with three matrix chiral multiplets whose vacuum structure yields a SUSY-preserving and a SUSY-breaking metastable vacuum, the latter featuring a Goldstino and a KK tower of states; the spectrum matches expectations from the KPV setup when the appropriate UV data are included. They show that the usual four-dimensional probe actions fail to restore linear SUSY, underscoring the importance of the full $S^2$ dynamics for an accurate low-energy description and for understanding constrained superfield approaches below the warped KK scale. The results have implications for the UV completion of KKLT-like constructions, the role of KK modes in de Sitter uplift scenarios, and the impact of extra degrees of freedom on inflationary model building and tunneling lifetimes.

Abstract

We study the supersymmetry breaking induced by probe anti-D3-branes at the tip of the Klebanov-Strassler throat geometry. Antibranes inside this geometry polarize and can be described by an NS5-brane wrapping an $S^2$. When the number of antibranes is small compared to the background flux a metastable state exists that breaks supersymmetry. We present a manifestly supersymmetric effective model that realizes the polarized metastable state as a solution, spontaneously breaking the supersymmetry. The supersymmetric model relies crucially on the inclusion of Kaluza-Klein (matrix) degrees of freedom on the $S^2$ and two supersymmetric irrelevant deformations of ${\cal N}=4$ super-Yang-Mills (SYM), describing a large number of supersymmetric D3-branes in the IR. We explicitly identify the massless Goldstino and compute the spectrum of massive fluctuations around the metastable supersymmetry-breaking minimum, finding a Kaluza-Klein tower with masses warped down from the string scale. Below the Kaluza-Klein scale the massive tower can be integrated out and supersymmetry is realized nonlinearly. We comment on the effect of the Kaluza-Klein modes on the effective description of de Sitter vacua in string theory and inflationary model building.

Supersymmetric embedding of antibrane polarization

TL;DR

This work argues that anti-D3-branes polarizing in the KS throat break supersymmetry in a metastable, spontaneous fashion, and that a fully consistent, linearly supersymmetric description necessitates including Kaluza-Klein modes on the internal together with specific irrelevant deformations of SYM. The authors construct a concrete supersymmetric model with three matrix chiral multiplets whose vacuum structure yields a SUSY-preserving and a SUSY-breaking metastable vacuum, the latter featuring a Goldstino and a KK tower of states; the spectrum matches expectations from the KPV setup when the appropriate UV data are included. They show that the usual four-dimensional probe actions fail to restore linear SUSY, underscoring the importance of the full dynamics for an accurate low-energy description and for understanding constrained superfield approaches below the warped KK scale. The results have implications for the UV completion of KKLT-like constructions, the role of KK modes in de Sitter uplift scenarios, and the impact of extra degrees of freedom on inflationary model building and tunneling lifetimes.

Abstract

We study the supersymmetry breaking induced by probe anti-D3-branes at the tip of the Klebanov-Strassler throat geometry. Antibranes inside this geometry polarize and can be described by an NS5-brane wrapping an . When the number of antibranes is small compared to the background flux a metastable state exists that breaks supersymmetry. We present a manifestly supersymmetric effective model that realizes the polarized metastable state as a solution, spontaneously breaking the supersymmetry. The supersymmetric model relies crucially on the inclusion of Kaluza-Klein (matrix) degrees of freedom on the and two supersymmetric irrelevant deformations of super-Yang-Mills (SYM), describing a large number of supersymmetric D3-branes in the IR. We explicitly identify the massless Goldstino and compute the spectrum of massive fluctuations around the metastable supersymmetry-breaking minimum, finding a Kaluza-Klein tower with masses warped down from the string scale. Below the Kaluza-Klein scale the massive tower can be integrated out and supersymmetry is realized nonlinearly. We comment on the effect of the Kaluza-Klein modes on the effective description of de Sitter vacua in string theory and inflationary model building.

Paper Structure

This paper contains 7 sections, 27 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Observations with Probe Actions
  3. Brane polarization and Kaluza-Klein modes
  4. Probes cannot restore supersymmetry
  5. Supersymmetric completion of the metastable state
  6. The model
  7. Conclusions

Figures (1)

  • Figure 1: The effective potential \ref{['eq:effpot']} plotted for $p/M = 0.03$. This potential contains a supersymmetry-breaking metastable minimum when $p/M \ll 1$ and a global supersymmetric minimum at $\psi=\pi$.