SciPost Submission Page
Higher representations for extended operators
by Thomas Bartsch, Mathew Bullimore, Andrea Grigoletto
Submission summary
| Authors (as registered SciPost users): | Andrea Grigoletto |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202503_00027v1 (pdf) |
| Date submitted: | 2025-03-18 12:46 |
| Submitted by: | Grigoletto, Andrea |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
It is known that local operators in quantum field theory transform in representations of ordinary global symmetry groups. The purpose of this paper is to generalise this statement to extended operators such as line and surface defects. We explain that (n−1)-dimensional operators charged with respect to a finite invertible or group-like symmetry transform under n-representations of it and thoroughly explore this statement for n = 1,2,3. We therefore propose higher representation theory as the natural framework to describe the action of symmetries on the extended operator content in quantum field theory.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing