Truncated Affine Rozansky–Witten Models as Extended Defect TQFTs

Autor(en)

Ilka Brunner, Nils Carqueville, Pantelis Fragkos, Daniel Roggenkamp

Abstrakt

We apply the cobordism hypothesis with singularities to the case of affine Rozansky–Witten models, providing a construction of extended TQFTs that includes all line and surface defects. On a technical level, this amounts to proving that the associated homotopy 2-category is pivotal, and to systematically employing its 3-dimensional graphical calculus. This in particular allows us to explicitly calculate state spaces for surfaces with arbitrary defect networks. As specific examples we discuss symmetry defects which can be used to model non-trivial background gauge fields, as well as boundary conditions.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Ludwig-Maximilians-Universität München, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Universität Leipzig

Journal

Communications in Mathematical Physics

Band

406

Anzahl der Seiten

74

ISSN

1432-0916

DOI

https://doi.org/10.48550/arXiv.2307.06284

Publikationsdatum

01-2025

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik, 103012 Hochenergiephysik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/aac935db-2383-4255-a849-2c5c1ca4df4a