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Volume-preserving diffeomorphism as nonabelian higher-rank gauge symmetry
by Yi-Hsien Du, Umang Mehta, Dung Xuan Nguyen, Dam Thanh Son
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Submission summary
| Authors (as registered SciPost users): | Dung Nguyen |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202112_00028v1 (pdf) |
| Date accepted: | 2021-12-23 |
| Date submitted: | 2021-12-13 02:39 |
| Submitted by: | Nguyen, Dung |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We propose nonabelian higher-rank gauge theories in 2+1D and 3+1D. The gauge group is constructed from the volume-preserving diffeomorphisms of space. We show that the intriguing physics of the lowest Landau level (LLL) limit can be interpreted as the consequences of the symmetry. We derive the renowned Girvin-MacDonald-Platzman (GMP) algebra as well as the topological Wen-Zee term within our formalism. Using the gauge symmetry in 2+1D, we derive the LLL effective action of vortex crystal in rotating Bose gas as well as Wigner crystal of electron in an applied magnetic field. We show that the non-linear sigma models of ferromagnet in 2+1D and 3+1D exhibit the higher-rank gauge symmetries that we introduce in this paper. We interpret the fractonic behavior of the excitations on the lowest Landau level and of skyrmions in ferromagnets as the consequence of the higher-rank gauge symmetry.
Author comments upon resubmission
We would like to resubmit a revised version of the manuscript to SciPost Physics.
We thank the referees for their valuable comments and the overall positive feedback to our manuscript. In particular, the first referee notes, “I think the content of the paper is innovative and scientifically sound, therefore, I believe it satisfies the publication criteria of SciPost, and I recommend it for publication.” The second referee states, “I find the paper interesting and worth publishing in SciPost Physics”. We’ve addressed the referees’ concerns in detail and made corresponding adjustments to the manuscript.
We believe that after these revisions, we have answered all of these referees’ queries, and our work is now appropriate for publication in SciPost Physics.
Sincerely,
Yi-Hsien Du, Umang Mehta, Dung X. Nguyen, and Dam Thanh Son
Summary of Change:
-Fixed typos.
-Add references 47-50.
Published as SciPost Phys. 12, 050 (2022)