\(D_5\) elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory
type: Item
instance of: scholarly article
title: \(D_5\) elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory
zbMATH Open document ID: 1333.81329
author: Mboyo Esole
author: James Fullwood
author: Shing-Tung Yau
published in: Communications in Number Theory and Physics
publication date: 2015-11-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.6177
review text: This research paper is a continuation of research done in [\textit{P. Aluffi} and \textit{M. Esole}, J. High Energy Phys. 2010, No. 2, Paper No. 020, 53 p. (2010; Zbl 1270.81145)], which studies some important aspects of elliptic fibrations by considering other models of elliptic curves than Weierstrass models. It is important to mention that \(F\)-theory has a decisive influence on providing a new and interesting perspective on the geometry of elliptic fibrations with new problems and challenges coming from physics. As an example, one can mention the duality between \(F\)-theory and the Heterotic string which has motivated the study of principle holomorphic \(G\)-bundles over elliptic fibrations by Friedman-Morgan-Witten (see [\textit{R. Friedman} et al., Commun. Math. Phys. 187, No. 3, 679--743 (1997; Zbl 0919.14010); J. Algebr. Geom. 8, No. 2, 279--401 (1999; Zbl 0937.14004)]). Indeed, since the advent of non-Weierstrass models, new ways of description of the strong coupling limit of certain non-trivial type IIB orientifold compactifications with brane-image-brane pairs by embedding them in \(F\)-theory have been suggested. As the authors pointed out, it is true that many of our insights gained on the structure of elliptic fibrations coming from \(F\)-theory are true without any assumptions on the dimension of the base and without assuming the Calabi-Yau condition (see [\textit{P. Aluffi} and \textit{M. Esole}, ``Chern class identities from tadpole matching in type IIB and F-theory'', J. High Energy Phys. 2009, No. 3, Article ID 0903, 32 p. (2009; \url{doi:10.1088/1126-6708/2009/03/032}); ibid. 2010, No. 2, Paper No. 020, 53 p. (2010; Zbl 1270.81145); \textit{M. Esole} and \textit{S.-T. Yau}, Adv. Theor. Math. Phys. 17, No. 6, 1195--1253 (2013; Zbl 1447.81171); \textit{R. Friedman} et al., Commun. Math. Phys. 187, No. 3, 679--743 (1997; Zbl 0919.14010); \textit{A. Grassi} and \textit{D. R. Morrison}, Commun. Number Theory Phys. 6, No. 1, 51--127 (2012; Zbl 1270.8…
reviewed by: Saeid Jafari
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 14D06
Mathematics Subject Classification ID: 14H52
zbMATH DE Number: 6505259
zbMATH Keywords: \(D_5\)-elliptic fibration
zbMATH Keywords: F-theory
zbMATH Keywords: orientifold
zbMATH Keywords: non-Weierstrass models
zbMATH Keywords: weak coupling limit
zbMATH Keywords: non-Kodaira fibers
zbMATH Keywords: Segre symbols
MaRDI profile type: Publication
arXiv ID: 1110.6177
OpenAlex ID: W1626874316
DOI: 10.4310/CNTP.2015.V9.N3.A4
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description: scientific article