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/2412.15857v3 (pdf) |
| Date accepted: | May 27, 2025 |
| Date submitted: | May 12, 2025, 7:46 a.m. |
| 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 $\nu = 1/m$ 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 ${\mathcal Z}_m$ 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
Author comments upon resubmission
Thank you for taking the time to carefully review our manuscript and for providing thoughtful feedback. We appreciate that all referees have a positive assessment
of our work and for recommending it for publication in SciPost Physics.
Following the suggestions from Referee 3, we revised the text before the formalization of our argument, providing a clearer context. We believe this modification contributed to make our manuscript better, and we thank the referee for this suggestion.
With the above modification, we expect that our text will be acceptable for publication.
Thank you again for your time and valuable input.
Sincerely,
Hans, Rodrigo, and Thomas
List of changes
We reformulated the text before Eq. (1) to provide a better bridge between the intuitive arguments of the beginning of the text and the formal arguments that follow later.
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)