SciPost Submission Page
On the relation between fractional charge and statistics
by T. H. Hansson, Rodrigo Arouca, Thomas Klein Kvorning
Submission summary
| Authors (as registered SciPost users): | Rodrigo Arouca · Hans Hansson |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2412.15857v2 (pdf) |
| Date submitted: | 2025-03-03 12:00 |
| Submitted by: | Arouca, Rodrigo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We revisit an argument, originally given by Kivelson and Ro\v{c}ek, for why the existence of fractional charge necessarily implies fractional statistics. In doing so, we resolve a contradiction in the original argument, and in the case of a ν=1/m Laughlin holes, we also show that the standard relation between fractional charge and statistics is necessary by an argument based on a t'Hooft anomaly in a one-form global Zm symmetry.
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
List of changes
We removed the repeated sentences indicated by one of the referees.
Current status:
In refereeing