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Superstring theory in AdS5× S5 background: half-BPS vertex operators

  • Thiago Fleury
  • Lucas N. S. Martins
  • Dennis Zavaleta
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Abstract

In this paper, we construct all vertex operators associated with the gravity supermultiplet in the AdS5 × S5 background, relevant for worldsheet scattering amplitude computations, via global $PSU(2,2|4)$ transformations. Although one such operator was previously constructed in the pure spinor formalism using a special superspace parametrization, implementing the full global symmetries proved challenging due to the mixing of bosonic and fermionic coordinates. We resolve this issue by introducing a judicious sequence of reparametrizations that disentangle these coordinates. We then advance the formulation of superstring theory in this background by constructing the corresponding integrated vertex operators in both the pure spinor and the B-RNS-GSS formalisms.

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Cite

BibTeXRIS
BibTeX
@misc{fleury2026superstring,
  title = {{Superstring theory in $AdS_5\times S^5$ background: half-BPS vertex operators}},
  author = {Thiago Fleury and Lucas N. S. Martins and Dennis Zavaleta},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22502},
  eprint = {2610.22502},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22502},
}
RIS
TY  - UNPB
TI  - Superstring theory in AdS_5× S^5 background: half-BPS vertex operators
AU  - Thiago Fleury
AU  - Lucas N. S. Martins
AU  - Dennis Zavaleta
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22502
UR  - https://arxiv.org/abs/2610.22502
AB  - In this paper, we construct all vertex operators associated with the gravity supermultiplet in the AdS_5 × S^5 background, relevant for worldsheet scattering amplitude computations, via global $PSU(2,2|4)$ transformations. Although one such operator was previously constructed in the pure spinor formalism using a special superspace parametrization, implementing the full global symmetries proved challenging due to the mixing of bosonic and fermionic coordinates. We resolve this issue by introducing a judicious sequence of reparametrizations that disentangle these coordinates. We then advance the formulation of superstring theory in this background by constructing the corresponding integrated vertex operators in both the pure spinor and the B-RNS-GSS formalisms.
ER  -