Null String Holography, Null Strings Probe Projective Boundary of Their Target Spaces

Abstract

We prove that the \textit{minimal null string theory} on a background manifold ℳ is classically equivalent to the ILST theory on the projective boundary of ℳ, cal B_{_P}=∂_{_P}ℳ. We conjecture that this equivalence also holds at quantum level, we dub this correspondence \textit{null string holography}. In particular, we show the minimal null string theory on the Poincaré patch of a D dimensional Anti de Sitter (AdS_D) background is described by the ILST theory on (D−1)-dimensional Minkowski background, paralleling the celebrated AdS/CFT. The minimal null string theory on the cosmological patch of dS_D is governed by the ILST theory on (D−1)-dimensional flat Euclidean space. For null strings on a D-dimensional Minkowski space 𝕄_D, depending on the coordinate patches used to span 𝕄_D, the projective boundary includes a dS_D−1, asymptotic null infinities ℐ^± and the hyperboloid ℍ^D−1 patches. The ILST theory dual to the minimal null strings on each patch, then resides on the piece of the projective boundary spanned by the coordinates adopted in the patch. We comment on possible applications of null string holography to black hole horizons.

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BibTeX RIS

BibTeX

@misc{sheikhjabbari2026null,
  title = {{Null String Holography, Null Strings Probe Projective Boundary of Their Target Spaces}},
  author = {M. M. Sheikh-Jabbari and H. Yavartanoo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.10432},
  eprint = {2609.10432},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10432},
}

RIS

TY  - UNPB
TI  - Null String Holography, Null Strings Probe Projective Boundary of Their Target Spaces
AU  - M. M. Sheikh-Jabbari
AU  - H. Yavartanoo
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2609.10432
UR  - https://arxiv.org/abs/2609.10432
AB  - We prove that the \textit{minimal null string theory} on a background manifold ℳ is classically equivalent to the ILST theory on the projective boundary of ℳ, cal B__P=∂__Pℳ. We conjecture that this equivalence also holds at quantum level, we dub this correspondence \textit{null string holography}. In particular, we show the minimal null string theory on the Poincaré patch of a D dimensional Anti de Sitter (AdS_D) background is described by the ILST theory on (D−1)-dimensional Minkowski background, paralleling the celebrated AdS/CFT. The minimal null string theory on the cosmological patch of dS_D is governed by the ILST theory on (D−1)-dimensional flat Euclidean space. For null strings on a D-dimensional Minkowski space 𝕄_D, depending on the coordinate patches used to span 𝕄_D, the projective boundary includes a dS_D−1, asymptotic null infinities ℐ^± and the hyperboloid ℍ^D−1 patches. The ILST theory dual to the minimal null strings on each patch, then resides on the piece of the projective boundary spanned by the coordinates adopted in the patch. We comment on possible applications of null string holography to black hole horizons.
ER  -

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