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The 2-Hilbert Space of a Prequantum Bundle Gerbe

- Severin Bunk, Christian Saemann, R. J. Szabo
- Mathematics, Physics
- 30 August 2016

We construct a prequantum 2-Hilbert space for any line bundle gerbe whose Dixmier-Douady class is torsion. Analogously to usual prequantisation, this 2-Hilbert space has the category of sections of… Expand

Geometry and 2-Hilbert space for nonassociative magnetic translations

- Severin Bunk, L. Müller, R. J. Szabo
- Physics, Mathematics
- Letters in Mathematical Physics
- 24 April 2018

We suggest a geometric approach to quantisation of the twisted Poisson structure underlying the dynamics of charged particles in fields of generic smooth distributions of magnetic charge, and dually… Expand

Fluxes, bundle gerbes and 2-Hilbert spaces

- Severin Bunk, R. J. Szabo
- Physics, Mathematics
- 6 December 2016

We elaborate on the construction of a prequantum 2-Hilbert space from a bundle gerbe over a 2-plectic manifold, providing the first steps in a programme of higher geometric quantisation of closed… Expand

Categorical structures on bundle gerbes and higher geometric prequantisation

- Severin Bunk
- Mathematics, Physics
- 18 September 2017

We present a construction of a 2-Hilbert space of sections of a bundle gerbe, a suitable candidate for a prequantum 2-Hilbert space in higher geometric quantisation. We introduce a direct sum on the… Expand

Smooth 2-Group Extensions and Symmetries of Bundle Gerbes

- Severin Bunk, L. Müller, R. J. Szabo
- Mathematics, Physics
- 28 April 2020

We study bundle gerbes on manifolds $M$ that carry an action of a connected Lie group $G$. We show that these data give rise to a smooth 2-group extension of $G$ by the smooth 2-group of hermitean… Expand

Sheaves of Higher Categories and Presentations of Smooth Field Theories

- Severin Bunk
- Mathematics, Physics
- 1 March 2020

We study the extension of higher presheaves on a category $C$ to its free cocompletion $\hat{C}$. Here, higher presheaves take values in $\infty$-categories of $(\infty,n)$-categories, for any $n \in… Expand

Transgression of D-branes

- Severin Bunk, K. Waldorf
- Physics, Mathematics
- 14 August 2018

Closed strings can be seen either as one-dimensional objects in a target space or as points in the free loop space. Correspondingly, a B-field can be seen either as a connection on a gerbe over the… Expand

Gerbes in Geometry, Field Theory, and Quantisation

- Severin Bunk
- Mathematics, Physics
- 1 January 2021

Abstract This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation. We cover the definition of bundle gerbes… Expand

Instantons on conical half-flat 6-manifolds

- Severin Bunk, O. Lechtenfeld, A. D. Popov, Marcus Sperling
- Physics, Mathematics
- 29 August 2014

A bstractWe present a general procedure to construct 6-dimensional manifolds with SU(3)-structure from SU(2)-structure 5-manifolds. We thereby obtain half-flat cylinders and sine-cones over… Expand

Topological insulators and the Kane–Mele invariant: Obstruction and localization theory

- Severin Bunk, R. J. Szabo
- Physics, Mathematics
- 8 December 2017

We present homotopy theoretic and geometric interpretations of the Kane-Mele invariant for gapped fermionic quantum systems in three dimensions with time-reversal symmetry. We show that the invariant… Expand

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