Instantons on Calabi-Yau and hyper-Kähler cones

Autor(en)

Jakob C. Geipel, Marcus Sperling

Abstrakt

The instanton equations on vector bundles over Calabi-Yau and hyper-Kähler cones can be reduced to matrix equations resembling Nahm’s equations. We complement the discussion of Hermitian Yang-Mills (HYM) equations on Calabi-Yau cones, based on regular semi-simple elements, by a new set of (singular) boundary conditions which have a known instanton solution in one direction. This approach extends the classic results of Kronheimer by probing a relation between generalised Nahm’s equations and nilpotent pairs/tuples. Moreover, we consider quaternionic instantons on hyper-Kähler cones over generic 3-Sasakian manifolds and study the HYM moduli spaces arising in this set-up, using the fact that their analysis can be traced back to the intersection of three Hermitian Yang-Mills conditions.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Gottfried Wilhelm Leibniz Universität Hannover

Journal

Journal of High Energy Physics

Band

2017

Anzahl der Seiten

33

ISSN

1029-8479

DOI

https://doi.org/10.1007/JHEP10(2017)103

Publikationsdatum

10-2017

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 101006 Differentialgeometrie

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/564311f1-f4db-450b-806e-2d8d1dc763bd