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PreprintarXiv licencearXiv

A Common Type II Origin of Galilean and Carroll Superstrings

  • Mehmet Ozkan
  • Utku Zorba
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Abstract

We show that the relativistic Type-II superalgebras, once the fundamental-string winding charge is retained alongside the momentum, admit a single non-Lorentzian contraction whose two translation ideals carry Galilean and magnetic-Carroll supersymmetry, respectively. The complementary vector charge required for this structure is thus intrinsic to string theory. The IIA realization is particle-like and the IIB realization string-like, a distinction fixed by chirality, and spacelike T-duality relates the two while preserving each non-Lorentzian structure. The same contraction is finite on the doubled Green--Schwarz action, including all fermion terms and local kappa symmetry, where the two supersymmetries appear as the two polarizations of a single worldsheet theory. These results unify two distinct non-Lorentzian corners of string theory within a common Type-II origin and open a route toward a broader web of non-Lorentzian dualities and possible holographic generalizations.

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Cite

BibTeXRIS
BibTeX
@misc{ozkan2026common,
  title = {{A Common Type II Origin of Galilean and Carroll Superstrings}},
  author = {Mehmet Ozkan and Utku Zorba},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41582},
  eprint = {2610.41582},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41582},
}
RIS
TY  - UNPB
TI  - A Common Type II Origin of Galilean and Carroll Superstrings
AU  - Mehmet Ozkan
AU  - Utku Zorba
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.41582
UR  - https://arxiv.org/abs/2610.41582
AB  - We show that the relativistic Type-II superalgebras, once the fundamental-string winding charge is retained alongside the momentum, admit a single non-Lorentzian contraction whose two translation ideals carry Galilean and magnetic-Carroll supersymmetry, respectively. The complementary vector charge required for this structure is thus intrinsic to string theory. The IIA realization is particle-like and the IIB realization string-like, a distinction fixed by chirality, and spacelike T-duality relates the two while preserving each non-Lorentzian structure. The same contraction is finite on the doubled Green--Schwarz action, including all fermion terms and local kappa symmetry, where the two supersymmetries appear as the two polarizations of a single worldsheet theory. These results unify two distinct non-Lorentzian corners of string theory within a common Type-II origin and open a route toward a broader web of non-Lorentzian dualities and possible holographic generalizations.
ER  -