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PreprintCC BY 4.0arXiv

Pohlmeyer reduction of Newton-Cartan strings

  • Aritra Banerjee
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Abstract

We develop a Pohlmeyer-type reduction for classical non-relativistic strings on string Newton-Cartan backgrounds. For strings on a two-sphere, we identify the invariant reduced field, show that its dynamics is integrable, and construct a Lax representation. We relate this intrinsic formulation to the non-relativistic expansion of relativistic strings and obtain a dictionary between non-relativistic string solutions and their reduced counterparts. The construction explicitly determines which relativistic solitonic configurations survive the non-relativistic limit and which decouple. Moreover, it provides a framework for applying integrability methods to Newton-Cartan string dynamics.

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Cite

BibTeXRIS
BibTeX
@misc{banerjee2026pohlmeyer,
  title = {{Pohlmeyer reduction of Newton-Cartan strings}},
  author = {Aritra Banerjee},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08164},
  eprint = {2611.08164},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08164},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Pohlmeyer reduction of Newton-Cartan strings
AU  - Aritra Banerjee
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08164
UR  - https://arxiv.org/abs/2611.08164
AB  - We develop a Pohlmeyer-type reduction for classical non-relativistic strings on string Newton-Cartan backgrounds. For strings on a two-sphere, we identify the invariant reduced field, show that its dynamics is integrable, and construct a Lax representation. We relate this intrinsic formulation to the non-relativistic expansion of relativistic strings and obtain a dictionary between non-relativistic string solutions and their reduced counterparts. The construction explicitly determines which relativistic solitonic configurations survive the non-relativistic limit and which decouple. Moreover, it provides a framework for applying integrability methods to Newton-Cartan string dynamics.
ER  -