PIRSA:26020042 Scientific Series Quantum Fields and Strings

DOI10.48660/26020042

Series: Quantum Fields and Strings

Schmidt Pitombo, R. (2026). Monodromy relations for string amplitudes on AdS. Perimeter Institute. https://pirsa.org/26020042

Schmidt Pitombo, Rodrigo. Monodromy relations for string amplitudes on AdS. Perimeter Institute, Feb. 05, 2026, https://pirsa.org/26020042 

@misc{ pirsa_PIRSA:26020042,
  doi = {10.48660/26020042},
  url = {https://pirsa.org/26020042},
  author = {Schmidt Pitombo, Rodrigo},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Monodromy relations for string amplitudes on AdS},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {feb},
  note = {PIRSA:26020042 see, \url{https://pirsa.org}}
}

Abstract

String scattering amplitudes are computed from worldsheet integrals of 2D CFT correlators, which leads to a variety of interesting properties. Among the most important are the monodromy relations satisfied by open string amplitudes in flat space. They give non-trivial relations between gluon amplitudes of different colour orderings and are derived from contour manipulations of worldsheet integrals. Given the recent developments in computing the AdS curvature corrections to the Veneziano amplitude, a natural question is whether these relations are generalizable to this case. In this talk, we show that the answer turns out to be positive. Moreover, before introducing the new monodromy relations, we discuss the flat space case and the structure of open string amplitudes in AdS. To conclude, we will argue that such relations are non-trivial evidence of the holographic duality between AdS_5 x S^3 and a specific N=2 superconformal field theory.
Based on [2509.02719].

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