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On the frozen F-theory landscape

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Abstract

We study 6d \(\mathcal{N}\) = (1, 0) supergravity theories arising in the frozen phase of F-theory. For each of the known global models, we construct an F-theory compactification in the unfrozen phase with an identical non-abelian gauge algebra and massless matter content. Two such low energy effective theories are then distinguished through gauge enhancements in moduli space. We study potentially new global models obtained via compact embeddings of a plethora of 6d \(\mathcal{N}\) = (1, 0) superconformal field theories and little string theories constructed using frozen 7-branes. In some cases, these provably do not exist, and in other cases, we explicitly construct a compact embedding, yielding 6d supergravity theories with new massless spectra. Finally, by using gravitational anomaly cancellation, we conjecture the existence of localized neutral hypermultiplets along frozen 7-brane loci.

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Acknowledgments

B.S. is grateful to Yuji Tachikawa and Alessandro Tomasiello for useful correspondences, to Jonathan Heckman, Paul Oehlmann, Fabian Ruehle, and Jiahua Tian for discussions, and to Fabian Ruehle and Paul Oehlmann for collaboration on a related project. We thank Paul Oehlmann for a reading of a preliminary draft. DRM is partially supported by the National Science Foundation Grant PHY-2014226.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Santa Barbara, CA, 93106, USA

    David R. Morrison & Benjamin Sung

  2. Department of Physics, University of California, Santa Barbara, CA, 93106, USA

    David R. Morrison

Authors
  1. David R. Morrison
  2. Benjamin Sung

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Correspondence to Benjamin Sung.

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ArXiv ePrint: 2310.11432

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Morrison, D.R., Sung, B. On the frozen F-theory landscape. J. High Energ. Phys. 2024, 126 (2024). https://doi.org/10.1007/JHEP05(2024)126

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