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Recent Developments in Line Bundle Cohomology and Applications to String Phenomenology

In: Nankai Symposium on Mathematical Dialogues

Author

Listed:
  • Callum Brodie

    (Robeson Hall, Virginia Tech, Department of Physics)

  • Andrei Constantin

    (University of Oxford, Rudolf Peierls Centre for Theoretical Physics)

  • James Gray

    (Robeson Hall, Virginia Tech, Department of Physics)

  • Andre Lukas

    (University of Oxford, Rudolf Peierls Centre for Theoretical Physics)

  • Fabian Ruehle

    (Northeastern University, Department of Physics & Department of Mathematics
    The NSF AI Institute for Artificial Intelligence and Fundamental Interactions)

Abstract

Vector bundle cohomology represents a key ingredient for string phenomenology, being associated with the massless spectrum arising in string compactifications on smooth compact manifolds. Although standard algorithmic techniques exist for performing cohomology calculations, they are laborious and ill-suited for scanning over large sets of string compactifications to find those most relevant to particle physics. In this article (based on the second author’s lecture at the Nankai Symposium, August 2021) we review some recent progress in deriving closed-form expressions for line bundle cohomology and discuss some applications to string phenomenology.

Suggested Citation

  • Callum Brodie & Andrei Constantin & James Gray & Andre Lukas & Fabian Ruehle, 2026. "Recent Developments in Line Bundle Cohomology and Applications to String Phenomenology," Springer Books, in: Yang-Hui He & Mo-Lin Ge & Cheng-Ming Bai & Jiakang Bao & Edward Hirst (ed.), Nankai Symposium on Mathematical Dialogues, pages 79-92, Springer.
    • Handle: RePEc:spr:sprchp:978-981-19-2328-9_10
    DOI: 10.1007/978-981-19-2328-9_10
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