Tadpoles and gauge symmetries

Braun, Andreas P.; Fraiman, Bernardo; Graña, Mariana; Lüst, Severin; Parra De Freitas, Héctor

Abstract

The tadpole conjecture proposes that complex structure moduli stabilisation by fluxes that have low tadpole charge can be realised only at special points in moduli space, leading generically to (large) gauge symmetries. Here we provide an exhaustive survey of the gauge symmetries arising in F-theory flux compactifications on products of attractive K3 surfaces, with complex structure moduli fully stabilised. We compute the minimal rank of the left-over non-abelian gauge group for all flux configurations within the tadpole bound, finding that it is always non-zero. It decreases in a roughly linear fashion with the tadpole charge, reaching zero at charge 30. By working out possible gauge algebras for different values of the tadpole, we find that all simple ADE Lie algebras of rank ≤ 18 appear.

Citation

Braun, A. P., Fraiman, B., Graña, M., Lüst, S., & Parra De Freitas, H. (2023). Tadpoles and gauge symmetries. Journal of High Energy Physics, 2023(8), Article 134. https://doi.org/10.1007/jhep08%282023%29134

• Journal Article Type: Article
• Acceptance Date: Aug 1, 2023
• Online Publication Date: Aug 21, 2023
• Publication Date: 2023
• Deposit Date: Sep 5, 2023
• Publicly Available Date: Sep 5, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 8
• Article Number: 134
• DOI: https://doi.org/10.1007/jhep08%282023%29134
• Keywords: Flux Compactifications, Gauge Symmetry, F-Theory
• Public URL: https://durham-repository.worktribe.com/output/1730314