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HIGGSBNDL SIGNED

Higgs bundles: Supersymmetric Gauge Theories and Geometry

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EC-Contrib. €

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Partnership

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Project "HIGGSBNDL" data sheet

The following table provides information about the project.

Coordinator
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD 

Organization address
address: WELLINGTON SQUARE UNIVERSITY OFFICES
city: OXFORD
postcode: OX1 2JD
website: www.ox.ac.uk

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website https://people.maths.ox.ac.uk/schafernamek/
 Total cost 1˙794˙562 €
 EC max contribution 1˙794˙562 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-CoG
 Funding Scheme ERC-COG
 Starting year 2016
 Duration (year-month-day) from 2016-09-01   to  2021-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD UK (OXFORD) coordinator 1˙794˙562.00
2    KING'S COLLEGE LONDON UK (LONDON) participant 0.00

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 Project objective

String theory provides a unified description of particle physics and gravity, within a consistent theory of quantum gravity. The goal of this research is to develop both the phenomenological implications as well as conceptual foundations of string theory and its non-perturbative completions, M- and F-theory. Both, seemingly independent, questions are deeply connected to a mathematical structure, the Higgs bundle, which characterizes supersymmetric vacua of dimensionally reduced gauge theories, and insights into the moduli space of Higgs bundles will result in a fruitful cross-connection between these subjects. For string theory to engage in a meaningful dialog with particle physics, it is paramount to gain a universal understanding of the low energy effective theories that can arise from it. Building on the success of studying F-theory vacua in terms of Higgs bundles, we propose to develop the Higgs bundle approach for M-theory on G2-manifolds, leading to a universal characterization of the low energy physics. Methods developed for Higgs bundles of d = 3 N = 2 theories obtained from M5-branes on three-manifolds will be used in this process. Associated to each Higgs bundle is a local G2 manifold and we propose a way (using new results in geometry) to construct compact G2 spaces associated to these, which manifestly ensure the phenomenological soundness of the compactifications. Higgs bundles have recently also played a key role in studying the compactifications of the M5-brane in M-theory. We propose and develop a new duality between a d = 4 theory on a four-manifold X4 and a d = 2, N = (2,0) supersymmetric gauge theory on a two-sphere S2, obtained by considering the M5-brane theory on X4xS2. The supersymmetric vacua have a characterization in terms of Higgs bundles, which can be studied with tools developed for F- theory Higgs bundles on four-manifolds. Furthermore we propose a concrete approach to derive this duality from first principles.

 Publications

year authors and title journal last update
List of publications.
2016 Benjamin Assel, Sakura Schäfer-Nameki
Six-dimensional origin of N $$ mathcal{N} $$ = 4 SYM with duality defects
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP12(2016)058
Journal of High Energy Physics 2016/12 2019-06-18
2018 Cyril Closset, Heeyeon Kim, Brian Willett
Seifert fibering operators in 3d N=2$$ mathcal{N}=2 $$ theories
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep11(2018)004
Journal of High Energy Physics 2018/11 2019-05-15
2018 Andreas P. Braun, Michele Del Zotto, James Halverson, Magdalena Larfors, David R. Morrison, Sakura Schäfer-Nameki
Infinitely many M2-instanton corrections to M-theory on G2-manifolds
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep09(2018)077
Journal of High Energy Physics 2018/9 2019-05-15
2018 Andreas P. Braun, Callum R. Brodie, Andre Lukas, Fabian Ruehle
NS5-branes and line bundles in heterotic/F-theory duality
published pages: , ISSN: 2470-0010, DOI: 10.1103/physrevd.98.126004
Physical Review D 98/12 2019-05-15
2018 Christopher Couzens, Dario Martelli, Sakura Schäfer-Nameki
F-theory and AdS3/CFT2 (2, 0)
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep06(2018)008
Journal of High Energy Physics 2018/6 2019-05-15
2018 Andreas P. Braun, Sakura Schäfer-Nameki
Spin(7)-manifolds as generalized connected sums and 3d N=1$$ mathcal{N}=1 $$ theories
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP06(2018)103
Journal of High Energy Physics 2018/6 2019-05-15
2018 Andreas P. Braun, Sakura Schäfer-Nameki
Compact, singular G2-holonomy manifolds and M/heterotic/F-theory duality
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP04(2018)126
Journal of High Energy Physics 2018/4 2019-05-15
2017 Andreas P. Braun, Michele Del Zotto
Mirror symmetry for G 2-manifolds: twisted connected sums and dual tops
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep05(2017)080
Journal of High Energy Physics 2017/5 2019-05-15
2019 Simone Giacomelli
Dualities for adjoint SQCD in three dimensions and emergent symmetries
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep03(2019)144
Journal of High Energy Physics 2019/3 2019-05-15
2018 Julius Eckhard, Sakura Schäfer-Nameki, Jin-Mann Wong
An N=1$$ mathcal{N}=1 $$ 3d-3d correspondence
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep07(2018)052
Journal of High Energy Physics 2018/7 2019-05-15
2018 Craig Lawrie, Dario Martelli, Sakura Schäfer-Nameki
Theories of class F and anomalies
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP10(2018)090
Journal of High Energy Physics 2018/10 2019-05-15
2019 Bobby Samir Acharya, Andreas P. Braun, Eirik Eik Svanes, Roberto Valandro
Counting associatives in compact G2 orbifolds
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep03(2019)138
Journal of High Energy Physics 2019/3 2019-05-15
2018 Andreas P. Braun, Callum R. Brodie, Andre Lukas
Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep04(2018)087
Journal of High Energy Physics 2018/4 2019-05-15
2019 Andreas P. Braun, Sebastjan Cizel, Max Hübner, Sakura Schäfer-Nameki
Higgs bundles for M-theory on G2-manifolds
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep03(2019)199
Journal of High Energy Physics 2019/3 2019-05-15
2018 Andreas P. Braun, Michele Del Zotto
Towards generalized mirror symmetry for twisted connected sum G2 manifolds
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP03(2018)082
Journal of High Energy Physics 2018/3 2019-05-15

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