Abstract
String on AdS3 × S3 × T4 backgrounds are known to be classically integrable in the presence of a mixture of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. It is expected that this results in the existence of a well-defined factorised worldsheet S matrix. In order to use integrability to compute the string spectrum we need such a factorised S matrix to exist also for the “mirror” model, obtained by a double Wick rotation of the original worldsheet theory. In the mixed-flux case the mirror model has a complex Hamiltonian, which raises questions on its well-definedness. In the paper we study the worldsheet tree-level S matrix of the original and mirror model and discuss some necessary conditions for the integrability and reality of the spectrum.
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Acknowledgments
We are grateful to Stijn van Tongeren for bringing the notion of pseudo-unitarity to our attention. DP and AS thank the participants of the workshop “Integrability in Low-Supersymmetry Theories” in Filicudi, Italy, for a stimulating environment where part of this work was carried out. DP and AS acknowledge support from the European Union - NextGenerationEU, and from the program STARS@UNIPD, under project “Exact-Holography – A new exact approach to holography: harnessing the power of string theory, conformal field theory, and integrable models.” A.S. also acknowledges support from the CARIPLO Foundation “Supporto ai giovani talenti italiani nelle competizioni dell’European Research Council” grant n. 2022-1886 “Nuove basi per la teoria delle stringhe”.
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Baglioni, N., Polvara, D., Pone, A. et al. On the worldsheet S matrix of the AdS3/CFT2 mixed-flux mirror model. J. High Energ. Phys. 2024, 237 (2024). https://doi.org/10.1007/JHEP05(2024)237
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DOI: https://doi.org/10.1007/JHEP05(2024)237