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Peer-reviewedCC BY 4.0Nuclear Physics B

Meta-Schrödinger invariance

  • Stoimen Stoimenov
  • Malte Henkel
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Abstract

The Meta-Schrödinger algebra arises as the dynamical symmetry in transport processes which are ballistic in a chosen `parallel' direction and diffusive and all other `transverse' directions. The time-space transformations of this Lie algebra and its infinite-dimensional extension, the meta-Schrödinger-Virasoro algebra, are constructed. We also find the representation suitable for non-stationary systems by proposing a generalised form of the generator of time-translations. Co-variant two-point functions of quasi-primary scaling operators are derived for both the stationary and the non-stationary cases.

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Cite

BibTeXRIS
BibTeX
@article{stoimenov2026metaschrödinger,
  title = {{Meta-Schrödinger invariance}},
  author = {Stoimen Stoimenov and Malte Henkel},
  journal = {Nuclear Physics B},
  year = {2026},
  month = sep,
  doi = {10.1016/j.nuclphysb.2022.116020},
  eprint = {2112.14143},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-03520942v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Meta-Schrödinger invariance
AU  - Stoimen Stoimenov
AU  - Malte Henkel
PY  - 2026
DA  - 2026/09/09
JO  - Nuclear Physics B
DO  - 10.1016/j.nuclphysb.2022.116020
UR  - https://hal.science/hal-03520942v1
AB  - The Meta-Schrödinger algebra arises as the dynamical symmetry in transport processes which are ballistic in a chosen `parallel' direction and diffusive and all other `transverse' directions. The time-space transformations of this Lie algebra and its infinite-dimensional extension, the meta-Schrödinger-Virasoro algebra, are constructed. We also find the representation suitable for non-stationary systems by proposing a generalised form of the generator of time-translations. Co-variant two-point functions of quasi-primary scaling operators are derived for both the stationary and the non-stationary cases.
SN  - 0550-3213
SN  - 1873-1562
ER  -