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PreprintCC BY 4.0arXiv

Exact group invariant scar towers in two dimensional gauge theories

  • João Barata
  • Kiryl Pakrouski
  • Andrey V. Sadofyev
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Abstract

We construct exact many-body scar towers in two dimensional gauge theories with two flavors of massless fundamental fermions. For oppositely charged fermions, the scar subspace is generated by a gauge-neutral η-pairing operator, and admits a purely algebraic construction. Exact diagonalization methods reveal anomalously low entanglement and long-range pair correlations in the scar states. Charge conjugation maps the η-tower to a vector-flavor polarization sector of the equal charge model, yielding an interpretation as a coherent flavor mode with Josephson-like phase dynamics. Finite fermion masses mix the protected pair with an orthogonal channel and destroy the exact tower. The identified scar tower can be algebraically realized in a large family of lattice field theories, revealing a universal character of these states. Our results provide an analytical construction of invariant scar subspaces in a gauge theory with a nontrivial continuum interpretation.

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Cite

BibTeXRIS
BibTeX
@misc{barata2026exact,
  title = {{Exact group invariant scar towers in two dimensional gauge theories}},
  author = {João Barata and Kiryl Pakrouski and Andrey V. Sadofyev},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16132},
  eprint = {2609.16132},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16132},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Exact group invariant scar towers in two dimensional gauge theories
AU  - João Barata
AU  - Kiryl Pakrouski
AU  - Andrey V. Sadofyev
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.16132
UR  - https://arxiv.org/abs/2609.16132
AB  - We construct exact many-body scar towers in two dimensional gauge theories with two flavors of massless fundamental fermions. For oppositely charged fermions, the scar subspace is generated by a gauge-neutral η-pairing operator, and admits a purely algebraic construction. Exact diagonalization methods reveal anomalously low entanglement and long-range pair correlations in the scar states. Charge conjugation maps the η-tower to a vector-flavor polarization sector of the equal charge model, yielding an interpretation as a coherent flavor mode with Josephson-like phase dynamics. Finite fermion masses mix the protected pair with an orthogonal channel and destroy the exact tower. The identified scar tower can be algebraically realized in a large family of lattice field theories, revealing a universal character of these states. Our results provide an analytical construction of invariant scar subspaces in a gauge theory with a nontrivial continuum interpretation.
ER  -