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PreprintCC BY 4.0arXiv

All-multiplicity monodromy and KLT relations for AdS string integrals

  • Maria Nocchi
  • Rodrigo Schmidt Pitombo
  • Aurélie Strömholm Sangaré
  • Yi-Xiao Tao
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Abstract

We propose and study all-multiplicity building blocks for tree-level string amplitudes in AdS. These are worldsheet integrals obtained by dressing the corresponding flat-space disc and sphere integrals with multivariable multiple polylogarithms and their single-valued analogues, respectively. We derive monodromy relations for the open-string building blocks and a KLT factorisation for their closed-string counterparts. This extends the non-commutative AdS uplift of lower-point flat-space structures to general n-point kinematics.

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Cite

BibTeXRIS
BibTeX
@misc{nocchi2026allmultiplicity,
  title = {{All-multiplicity monodromy and KLT relations for AdS string integrals}},
  author = {Maria Nocchi and Rodrigo Schmidt Pitombo and Aurélie Strömholm Sangaré and Yi-Xiao Tao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.09769},
  eprint = {2606.09769},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.09769},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - All-multiplicity monodromy and KLT relations for AdS string integrals
AU  - Maria Nocchi
AU  - Rodrigo Schmidt Pitombo
AU  - Aurélie Strömholm Sangaré
AU  - Yi-Xiao Tao
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2606.09769
UR  - https://arxiv.org/abs/2606.09769
AB  - We propose and study all-multiplicity building blocks for tree-level string amplitudes in AdS. These are worldsheet integrals obtained by dressing the corresponding flat-space disc and sphere integrals with multivariable multiple polylogarithms and their single-valued analogues, respectively. We derive monodromy relations for the open-string building blocks and a KLT factorisation for their closed-string counterparts. This extends the non-commutative AdS uplift of lower-point flat-space structures to general n-point kinematics.
ER  -