The Nahm–Schmid equations and hypersymplectic geometry

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Roger Bielawski
  • Nuno M. Romao
  • Markus Roeser

Research Organisations

External Research Organisations

  • University of Augsburg
View graph of relations

Details

Original languageEnglish
Pages (from-to)1253-1286
Number of pages34
JournalQuarterly Journal of Mathematics
Volume69
Issue number4
Early online date24 Apr 2018
Publication statusPublished - Dec 2018

Abstract

We explore the geometry of the Nahm-Schmid equations, a version of Nahm's equations in split signature. Our discussion ties up different aspects of their integrable nature: dimensional reduction from the Yang-Mills anti-self-duality equations, explicit solutions, Lax-pair formulation, conservation laws and spectral curves, as well as their relation to hypersymplectic geometry.

ASJC Scopus subject areas

Cite this

The Nahm–Schmid equations and hypersymplectic geometry. / Bielawski, Roger; Romao, Nuno M.; Roeser, Markus.
In: Quarterly Journal of Mathematics, Vol. 69, No. 4, 12.2018, p. 1253-1286.

Research output: Contribution to journal › Article › Research › peer review

Bielawski R, Romao NM, Roeser M. The Nahm–Schmid equations and hypersymplectic geometry. Quarterly Journal of Mathematics. 2018 Dec;69(4):1253-1286. Epub 2018 Apr 24. doi: 10.48550/arXiv.1711.02649, 10.1093/qmath/hay023
Bielawski, Roger ; Romao, Nuno M. ; Roeser, Markus. / The Nahm–Schmid equations and hypersymplectic geometry. In: Quarterly Journal of Mathematics. 2018 ; Vol. 69, No. 4. pp. 1253-1286.
Download
@article{5555d509ae7b4955aa9a986fa9a9642d,
title = "The Nahm–Schmid equations and hypersymplectic geometry",
abstract = "We explore the geometry of the Nahm-Schmid equations, a version of Nahm's equations in split signature. Our discussion ties up different aspects of their integrable nature: dimensional reduction from the Yang-Mills anti-self-duality equations, explicit solutions, Lax-pair formulation, conservation laws and spectral curves, as well as their relation to hypersymplectic geometry.",
author = "Roger Bielawski and Romao, {Nuno M.} and Markus Roeser",
note = "{\textcopyright} 2018 The Author(s) 2018. Published by Oxford University Press.",
year = "2018",
month = dec,
doi = "10.48550/arXiv.1711.02649",
language = "English",
volume = "69",
pages = "1253--1286",
journal = "Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",
number = "4",

}

Download

TY - JOUR

T1 - The Nahm–Schmid equations and hypersymplectic geometry

AU - Bielawski, Roger

AU - Romao, Nuno M.

AU - Roeser, Markus

N1 - © 2018 The Author(s) 2018. Published by Oxford University Press.

PY - 2018/12

Y1 - 2018/12

N2 - We explore the geometry of the Nahm-Schmid equations, a version of Nahm's equations in split signature. Our discussion ties up different aspects of their integrable nature: dimensional reduction from the Yang-Mills anti-self-duality equations, explicit solutions, Lax-pair formulation, conservation laws and spectral curves, as well as their relation to hypersymplectic geometry.

AB - We explore the geometry of the Nahm-Schmid equations, a version of Nahm's equations in split signature. Our discussion ties up different aspects of their integrable nature: dimensional reduction from the Yang-Mills anti-self-duality equations, explicit solutions, Lax-pair formulation, conservation laws and spectral curves, as well as their relation to hypersymplectic geometry.

UR - http://www.scopus.com/inward/record.url?scp=85082517530&partnerID=8YFLogxK

U2 - 10.48550/arXiv.1711.02649

DO - 10.48550/arXiv.1711.02649

M3 - Article

VL - 69

SP - 1253

EP - 1286

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

SN - 0033-5606

IS - 4

ER -