On generalized Sethi-Vafa-Witten formulas

DOI10.1063/1.3628633zbMath1272.81152arXiv1103.6066OpenAlexW3105212597MaRDI QIDQ2849745

James Fullwood

Publication date: 24 September 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.6066

zbMATH Keywords

Chow ring of a projective bundleEuler characteristic of elliptically fibered Calabi-Yau fourfoldsF-theory compactifications of string vacua

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) (Equivariant) Chow groups and rings; motives (14C15)

Related Items

Stable pairs and the HOMFLY polynomial ⋮ Generating functions for intersection products of divisors in resolved F-theory models ⋮ Chiral matter multiplicities and resolution-independent structure in 4D F-theory models ⋮ On the Euler characteristic of a relative hypersurface ⋮ The geometry of the \(\mathrm{SU}(2){\times} \mathrm{G}_2\)-model ⋮ A new CY elliptic fibration and tadpole cancellation ⋮ Anomaly equations and intersection theory ⋮ Euler characteristics of crepant resolutions of Weierstrass models ⋮ On a Lefschetz-type phenomenon for elliptic Calabi-Yaus

Cites Work

• Calabi-Yau four-folds for \(M\)- and \(F\)-theory compactifications
• Constraints on low-dimensional string compactifications
• Evidence for F-theory