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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Carrollian quantum states and flat space holography

  • Stefan Fredenhagen1
  • Stefan Prohazka1
  • Robert Tiefenbacher1
  1. 1University of Vienna
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Abstract

We study free Carrollian quantum field theories from an algebraic perspective and explore their implications for flat space holography. As explicit examples, we construct the electric and magnetic Carrollian Weyl algebras obtained from Carroll limits of the relativistic scalar field and analyze their states, including vacuum and thermal configurations.

For the massive electric theory, we find a regular Carroll-invariant vacuum state and a regular KMS state, yielding a consistent Carrollian thermodynamic system. By contrast, the massless electric and magnetic theories are more subtle: depending on the quantization, they admit either no regular distinguished vacuum or only nonregular Carroll-invariant ground states, while still supporting nonregular thermal states. We further analyze alternative classes of states in the massless electric theory, including spatially homogeneous pure regular quasifree states and Sorkin-Johnston states.

Motivated by these results, we discuss consequences for flat space holography. We construct a well-defined state relevant for Carrollian holography whose Hilbert-space representation factorizes into a standard Fock sector and a nonseparable zero-mode sector, thereby highlighting the role of infrared degrees of freedom in the boundary theory.

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Cite

BibTeXRIS
BibTeX
@article{fredenhagen2026carrollian,
  title = {{Carrollian quantum states and flat space holography}},
  author = {Stefan Fredenhagen and Stefan Prohazka and Robert Tiefenbacher},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)018},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)018},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Carrollian quantum states and flat space holography
AU  - Stefan Fredenhagen
AU  - Stefan Prohazka
AU  - Robert Tiefenbacher
PY  - 2026
DA  - 2026/11/04
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)018
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)018
AB  - We study free Carrollian quantum field theories from an algebraic perspective and explore their implications for flat space holography. As explicit examples, we construct the electric and magnetic Carrollian Weyl algebras obtained from Carroll limits of the relativistic scalar field and analyze their states, including vacuum and thermal configurations.  For the massive electric theory, we find a regular Carroll-invariant vacuum state and a regular KMS state, yielding a consistent Carrollian thermodynamic system. By contrast, the massless electric and magnetic theories are more subtle: depending on the quantization, they admit either no regular distinguished vacuum or only nonregular Carroll-invariant ground states, while still supporting nonregular thermal states. We further analyze alternative classes of states in the massless electric theory, including spatially homogeneous pure regular quasifree states and Sorkin-Johnston states.  Motivated by these results, we discuss consequences for flat space holography. We construct a well-defined state relevant for Carrollian holography whose Hilbert-space representation factorizes into a standard Fock sector and a nonseparable zero-mode sector, thereby highlighting the role of infrared degrees of freedom in the boundary theory.
SN  - 1029-8479
ER  -