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PreprintCC BY 4.0arXiv

Double Copy from the Flipped Null String

Abstract

We study the double-copy structure of tree amplitudes of the bosonic null string in the flipped vacuum. We show that its level-one vector correlator supplies the Cachazo-He-Yuan (CHY) kinematic half-integrand of the higher-derivative (DF)2 gauge theory, while distinguished compact momentum-winding sectors generate the complementary Parke-Taylor factor. For factorized level-two states, the same Carrollian world-sheet produces two kinematic half-integrands and hence the symmetric double copy to the six-derivative Weyl-cubed graviton sector. Lattice sectors with common external momenta reproduce the Bern-Carrasco-Johansson (BCJ) ordering relation and the corresponding field-theory Kawai-Lewellen-Tye (KLT) representation. These results provide a direct Carrollian world-sheet origin of the double copy and point toward a current-algebra realization of the emergent color sector compatible with the O(d,d) structure of the compact lattice.

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BibTeX
@misc{bagchi2026double,
  title = {{Double Copy from the Flipped Null String}},
  author = {Arjun Bagchi and Sachin Grover and Sharang Rajesh Iyer and Amartya Saha and Stephan Stieberger},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.07846},
  eprint = {2609.07846},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07846},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Double Copy from the Flipped Null String
AU  - Arjun Bagchi
AU  - Sachin Grover
AU  - Sharang Rajesh Iyer
AU  - Amartya Saha
AU  - Stephan Stieberger
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2609.07846
UR  - https://arxiv.org/abs/2609.07846
AB  - We study the double-copy structure of tree amplitudes of the bosonic null string in the flipped vacuum. We show that its level-one vector correlator supplies the Cachazo-He-Yuan (CHY) kinematic half-integrand of the higher-derivative (DF)^2 gauge theory, while distinguished compact momentum-winding sectors generate the complementary Parke-Taylor factor. For factorized level-two states, the same Carrollian world-sheet produces two kinematic half-integrands and hence the symmetric double copy to the six-derivative Weyl-cubed graviton sector. Lattice sectors with common external momenta reproduce the Bern-Carrasco-Johansson (BCJ) ordering relation and the corresponding field-theory Kawai-Lewellen-Tye (KLT) representation. These results provide a direct Carrollian world-sheet origin of the double copy and point toward a current-algebra realization of the emergent color sector compatible with the O(d,d) structure of the compact lattice.
ER  -