Abstract
We use the lightcone AdS3 × S3 × T4 superstring sigma model with fermions and bosons subject to twisted boundary conditions to find the ground state energy in the semi-classical approximation where effective string tension h and the light-cone momentum L are sent to infinity in such a way that \( \mathcal{J} \) ≡ L/h is kept fixed. We then analyse the ground state energy of the model by means of the mirror TBA equations for the AdS3 × S3 × T4 superstring in the pure RR background. The calculation is performed for small twist μ with L and h fixed, for large L with μ and h fixed, and for small h with μ and L fixed. In these limits the contribution of the gapless worldsheet modes coming from the T4 bosons and fermions can be computed exactly, and is shown to be proportional to hL/(4L2 – 1). Comparison with the semi-classical result shows that the TBA equations involve only one Y0-function for massless excitations but not two as was conjectured before. Some of the results obtained are generalised to the mixed-flux AdS3 × S3 × T4 superstring.
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Acknowledgments
We would like to thank Jean-Sebastien Caux, Tristan McLoughlin and Stijn van Tongeren for useful related discussions.
AP is supported by German Research Foundation via the Emmy Noether program “Exact Results in Extended Holography”. AS acknowledges 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.”
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Frolov, S., Pribytok, A. & Sfondrini, A. Ground state energy of twisted AdS3 × S3 × T4 superstring and the TBA. J. High Energ. Phys. 2023, 27 (2023). https://doi.org/10.1007/JHEP09(2023)027
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DOI: https://doi.org/10.1007/JHEP09(2023)027