String perturbation theory of Klebanov-Strassler throat (2409.19048v2)

Abstract: In this work, we develop a tool to study string perturbation theory of the Klebanov-Strassler solution in the large radius approximation based on open-closed superstring field theory. Combining the large radius expansion and a double scaling limit, we find a perturbative background solution of open-closed superstring field theory that corresponds to the Klebanov-Strassler solution. To illustrate the utilities of this approach, we break supersymmetry of the background by placing a stack of anti-D3-branes at the tip of the throat. We then find a perturbative open string background solution to the third order in the large radius approximation, which agrees with the well-known supergravity analysis of Kachru-Pearson-Verlinde (KPV) on the stability of the antiD3-brane supersymmetry breaking. The perturbative background solution to the open string field theory we found is expected to be dual to an NS5-brane probing the KS solution.

• The paper develops a perturbative background solution of open-closed superstring field theory for the Klebanov-Strassler throat via large-radius expansion.
• The approach is used to study anti-D3-brane supersymmetry breaking at the throat's tip, finding results consistent with supergravity analyses like KPV.
• The perturbative open string background is posited to be dual to an NS5-brane probing the Klebanov-Strassler solution, suggesting an interesting dual perspective.

Overview of "String perturbation theory of Klebanov-Strassler throat"

This paper presents a detailed paper of string perturbation theory applied to the Klebanov-Strassler (KS) throat using open-closed superstring field theory. The research extends our understanding of superstring field theory in the context of a supergravity solution, specifically addressing the Klebanov-Strassler throat. The approach is utilized to explore scenarios involving supersymmetry breaking via anti-D3-brane configurations.

Key Findings

1. Perturbative Background Solution: The paper develops a perturbative background solution of open-closed superstring field theory, correlating to the KS solution. This is achieved through a combination of a large-radius expansion and a double scaling limit, providing a novel method to analyze KS from a string theory perspective.
2. Supersymmetry Breaking: The approach is used to break the supersymmetry of the KS background by introducing a stack of anti-D3-branes at the throat's tip. This affords a calculation of the open string background solution up to the third order in the large-radius approximation. The solution is shown to be consistent with supergravity analyses such as the Kachru-Pearson-Verlinde (KPV) framework regarding the stability of the anti-D3-brane induced supersymmetry breaking.
3. Dual NS5-brane Interpretation: The perturbative open string background is posited to be dual to an NS5-brane probing the KS solution, suggesting an interesting dual perspective that further enriches the theoretical framework.

Implications

Practical Implications

• Supersymmetry and Stability: The paper offers insights into the stability of configurations where supersymmetry is intentionally broken, contributing valuable computational techniques that can be used to analyze other flux compactifications in string theory.
• Computational Techniques: Techniques developed here, especially using superstring field theory as a tool, offer a structured framework to address perturbations in string backgrounds beyond traditional methods.

Theoretical Implications

• String Field Theory Expansion: This work extends the domain of superstring field theory into new sectors of theoretical physics, challenging previously held boundaries about using field theory methods to tackle specific problem sets in string theory.
• Tool for Quantum Gravity: KS throat and related configurations serve as testbeds for broader quantum gravity issues. The adaptation of superstring field theory to these settings offers a new lens through which to explore and articulate aspects of quantum gravity.

Speculations on Future Developments

The advanced framework and techniques presented in this paper suggest several future research directions:

1. Generalization to Other Contexts: The methodologies could be adapted to paper other non-trivial solutions in string theory, ensuring broader applicability across various configurations that pose analytical challenges.
2. Enhancing Supersymmetry Analysis: With improved computational capabilities, supersymmetry restoration and breaking can be more accurately modeled and predicted, aiding in the unification efforts of theoretical physics.
3. Interface with Cosmology: Aspects of the paper could be translatable to cosmological settings, particularly in crafting early-universe models where string-theoretic causes for inflation and dark energy are under rigorous investigation.

Conclusion

This paper makes a significant contribution to string theory by innovatively applying superstring field theory to the Klebanov-Strassler throat. By exploring the implications of string perturbation in this setup, the research enhances our understanding of string theory applications in supersymmetry breaking and suggests new paradigmatic pathways for considering complex string solutions and their physical meanings.