GP2 - Birmingham Workshop Program: Topology of non-normalizable physical vector fields

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Session Information

Location: Physics West 103 | School of Physics and Astronomy, University of Birmingham
Day: 1. Tuesday 21st April
Time: 17:00-18:00
Chairperson: N/A

Presentation Details

Presentation Type: Poster |
Title: Topology of non-normalizable physical vector fields
Abstract: Topological classification of general real-space vector fields, both in real and momentum space, often relies on homotopy theory and requires mapping the order-parameter manifold onto an n-sphere. Such constructions typically depend on global or local normalization and therefore assume a non-vanishing field in the region of interest. At field zeros, the mapping becomes ill-defined, obstructing a consistent topological characterization.
We introduce a general framework that overcomes this limitation by embedding a d-dimensional vector field into a (d+1)-dimensional space. Application to transverse electric field modes in electromagnetic waveguide structures reveals robust topological features encoded directly in real space.
The framework provides a unified topological description of vector-field configurations in both real and momentum space across a wide range of physical systems.

Presenter

Mr Philipp Gessler
University Duisburg-Essen | Germany

Authors

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