Mapping 6D \( \mathcal{N} = 1 \) supergravities to F-theory
From MaRDI portal
Publication:360725
DOI10.1007/JHEP02(2010)099zbMATH Open1270.81181arXiv0911.3393WikidataQ59254831 ScholiaQ59254831MaRDI QIDQ360725
Author name not available (Why is that?)
Publication date: 27 August 2013
Published in: (Search for Journal in Brave)
Abstract: We develop a systematic framework for realizing general anomaly-free chiral 6D supergravity theories in F-theory. We focus on 6D (1, 0) models with one tensor multiplet whose gauge group is a product of simple factors (modulo a finite abelian group) with matter in arbitrary representations. Such theories can be decomposed into blocks associated with the simple factors in the gauge group; each block depends only on the group factor and the matter charged under it. All 6D chiral supergravity models can be constructed by gluing such blocks together in accordance with constraints from anomalies. Associating a geometric structure to each block gives a dictionary for translating a supergravity model into a set of topological data for an F-theory construction. We construct the dictionary of F-theory divisors explicitly for some simple gauge group factors and associated matter representations. Using these building blocks we analyze a variety of models. We identify some 6D supergravity models which do not map to integral F-theory divisors, possibly indicating quantum inconsistency of these 6D theories.
Full work available at URL: https://arxiv.org/abs/0911.3393
No records found.
No records found.
This page was built for publication: Mapping 6D \( \mathcal{N} = 1 \) supergravities to F-theory
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q360725)
