eprintid: 26888
rev_number: 18
eprint_status: archive
userid: 4578
dir: disk0/00/02/68/88
datestamp: 2019-07-31 15:31:52
lastmod: 2019-08-21 09:43:00
status_changed: 2019-07-31 15:31:52
type: doctoralThesis
metadata_visibility: show
creators_name: Xu, Fengjun
title: The geometry and physics of F-theory compactifications
subjects: 530
divisions: 130300
adv_faculty: af-13
abstract: In this PhD thesis we study the structure of gauge and gravitational anomalies in effective theories obtained by compactfication of F-theory on Calabi-Yau manifolds. In particular, we study the continuous local anomalies in 2D N = (0, 2) effective theories from elliptically fibered Calabi-Yau five-fold compactifications and discrete gauge anomalies in 6D N = (1, 0) theories from F-theory on genus-one fibrations of Calabi-Yau three-folds.
Certain anomalies associated with these symmetries, induced at 1-loop in perturbative theories, can be cancelled by a corresponding generalized Green-Schwarz mechanism operating at the level of chiral fields in the effective theories. We derive closed expressions for types Green-Schwarz mechanisms in F-theory compactifications, as well as the gravitational and gauge anomalies. These expressions in both cases involve topological invariants of the underlying fibrations of Calabi-Yau manifolds. Cancellation of these anomalies in the effective theories predicts intricate topological identities which must hold on every corresponding Calabi-Yau manifold. Some of the identities we find on elliptic 5-folds are related in an intriguing way to previously studied topological identities governing the structure of local anomalies for continuous symmetry in 6D N = (1, 0) and 4D N = 1 theories obtained from F-theory.
date: 2019
id_scheme: DOI
id_number: 10.11588/heidok.00026888
ppn_swb: 1671472268
own_urn: urn:nbn:de:bsz:16-heidok-268880
date_accepted: 2019-07-23
advisor: HASH(0x556120b16de8)
language: eng
bibsort: XUFENGJUNTHEGEOMETR2019
full_text_status: public
place_of_pub: Heidelberg
citation:   Xu, Fengjun  (2019) The geometry and physics of F-theory compactifications.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/26888/3/Fengjun_Xu_thesis.pdf