Skyrmions, Quantum Hall Droplets, and one current to rule them all
We introduce a novel Skyrme-like conserved current in the effective theory of pions and vector mesons based on the idea of hidden local symmetry. The associated charge is equivalent to the skyrmion charge for any smooth configuration. In addition, there exist singular configurations that can be...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2020-07-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.9.1.008 |
| Summary: | We introduce a novel Skyrme-like conserved current in the effective theory of
pions and vector mesons based on the idea of hidden local symmetry. The
associated charge is equivalent to the skyrmion charge for any smooth
configuration. In addition, there exist singular configurations that can be
identified as N_f=1 baryons charged under the new symmetry. Under this
identification, the vector mesons play the role of the Chern-Simons vector
fields living on the quantum Hall droplet that forms the N_f=1 baryon. We
propose that this current is the correct effective expression for the baryon
current at low energies. This proposal gives a unified picture for the two
types of baryons and allows them to continuously transform one to the other in
a natural way. In addition, Chern-Simons dualities on the droplet can be
interpreted as a result of Seiberg-like duality between gluons and vector
mesons. |
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| ISSN: | 2542-4653 |