Behan, C., Chester, S. M., & Ferrero, P. (2024, October 8). Towards Bootstrapping F-theory. arXiv:2403.17049v2 [hep-th].
This research paper aims to develop a method for computing stringy corrections to the low energy effective theories of specific F-theory models, particularly those with fixed string coupling and dual descriptions as conformal field theories.
The authors utilize the Seiberg-Witten curves of these F-theory models to compute the mass-deformed sphere free energy at large N. This is achieved by expressing the free energy in terms of novel matrix models with non-polynomial potentials. The results are then used in conjunction with the analytic bootstrap to constrain and fix the large N expansion of flavor multiplet correlators in the dual conformal field theories. These correlators are related to gluon scattering amplitudes in AdS5 x S3, which in the flat space limit, describe the effective theory of sevenbranes in F-theory.
The paper concludes that the proposed method, combining Seiberg-Witten curves and holographic duality, provides a promising avenue for exploring stringy corrections in F-theory models with fixed string coupling. The successful computation of the logarithmic threshold in the holographic correlator, matching the flat space prediction, serves as a strong validation of this approach.
This research significantly contributes to the understanding of F-theory, a non-perturbative framework for string theory compactifications. By providing a method to compute stringy corrections, it opens up new possibilities for studying the low energy dynamics of F-theory models and their potential applications in particle physics and cosmology.
The current work focuses on a specific class of F-theory models with constant axio-dilaton. Future research could explore extending this approach to more general F-theory compactifications with varying axio-dilaton profiles. Additionally, further investigation into higher-order corrections and their implications for the low energy effective theory would be valuable.
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by Connor Behan... at arxiv.org 10-10-2024
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