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The heat flow for Dirac-harmonic maps

Wittmann, Johannes (2018) The heat flow for Dirac-harmonic maps. PhD, Universität Regensburg.

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Date of publication of this fulltext: 26 Nov 2018 10:12

Abstract (English)

The main result of Chapter 1 is short time existence of the heat flow for Dirac-harmonic maps on closed manifolds. Dirac-harmonic maps are the critical points of a functional motivated by the supersymmetric non-linear sigma model from quantum field theory. Finding non-trivial examples for Dirac-harmonic maps turned out to be a rather challenging task and not many examples were known. With the aim ...

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Translation of the abstract (German)

Das Hauptresultat von Kapitel 1 ist die Kurzzeitexistenz des Wärmeflusses für Dirac-harmonische Abbildungen auf geschlossenen Mannigfaltigkeiten. Dirac-harmonische Abbildungen sind die kritischen Punkte von einem Funktional, welches motiviert ist durch das supersymmetrische nicht-lineare Sigma-Modell aus der Quantenfeldtheorie. Nicht-triviale Beispiele für Dirac-harmonische Abbildungen zu finden ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:26 November 2018
Referee:Prof. Dr. Bernd Ammann
Date of exam:8 November 2018
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Keywords:heat flow, Dirac-harmonic maps, spin geometry, Banach manifolds
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38075
Owner only: item control page

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