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PreprintarXiv licencearXiv

Emergent Conformal Symmetry on Superfluid Vortices in Two-Color QCD and Pseudoreal Gauge Theories

  • Muneto Nitta
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Abstract

Two-color QCD provides a unique first-principles laboratory for strongly interacting matter at finite baryon density, where a diquark condensate realizes a baryonic superfluid. We investigate the internal physics of its quantized superfluid vortices in the chiral limit. We find that a vortex localizes an exact and normalizable S3≃ SU(2) family of pion modes. Remarkably, the bulk Wess--Zumino--Witten (WZW) term induces a quantized WZW term for these modes, driving the vortex theory in the infrared to the SU(2)1 WZW conformal field theory with central charge c=1. Thus a strongly coupled conformal theory emerges on a vortex in a nonconformal bulk theory. The mechanism extends to pseudoreal Sp(2N) gauge theories, where the corresponding minimal vortex theory flows to SU(2)N, with the level directly encoding the microscopic anomaly coefficient.

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Cite

BibTeXRIS
BibTeX
@misc{nitta2026emergent,
  title = {{Emergent Conformal Symmetry on Superfluid Vortices in Two-Color QCD and Pseudoreal Gauge Theories}},
  author = {Muneto Nitta},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.12080},
  eprint = {2609.12080},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.12080},
}
RIS
TY  - UNPB
TI  - Emergent Conformal Symmetry on Superfluid Vortices in Two-Color QCD and Pseudoreal Gauge Theories
AU  - Muneto Nitta
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.12080
UR  - https://arxiv.org/abs/2609.12080
AB  - Two-color QCD provides a unique first-principles laboratory for strongly interacting matter at finite baryon density, where a diquark condensate realizes a baryonic superfluid. We investigate the internal physics of its quantized superfluid vortices in the chiral limit. We find that a vortex localizes an exact and normalizable S^3≃ SU(2) family of pion modes. Remarkably, the bulk Wess--Zumino--Witten (WZW) term induces a quantized WZW term for these modes, driving the vortex theory in the infrared to the SU(2)_1 WZW conformal field theory with central charge c=1. Thus a strongly coupled conformal theory emerges on a vortex in a nonconformal bulk theory. The mechanism extends to pseudoreal Sp(2N) gauge theories, where the corresponding minimal vortex theory flows to SU(2)_N, with the level directly encoding the microscopic anomaly coefficient.
ER  -