Compute the lowest Regge trajectory with the pure-RR quantum spectral curve

Compute the scaling dimension of the lowest Regge trajectory state in pure-Ramond–Ramond-flux type IIB string theory on AdS3×S3×T4 using the conjectured pure-RR quantum spectral curve, thereby enabling a direct comparison with the worldsheet-bootstrap prediction.

Background

The paper discusses a quantum spectral curve conjectured for the pure-RR AdS3×S3×T4 background. Strong-coupling numerical data had been obtained for a family of states with odd spin and nontrivial SU(2)×SU(2) quantum numbers, but the lowest Regge trajectory state studied through the worldsheet bootstrap had not yet been treated with the QSC.

Resolving this problem would provide a direct comparison between the QSC and worldsheet-bootstrap descriptions of the same pure-RR string state. The present paper instead computes the lowest Regge trajectory scaling dimension through string field theory combined with a mixed-flux ansatz, and uses the pure-RR QSC result for a different family of states as a consistency check.

References

It has not yet been possible to use the QSC to compute the lowest Regge trajectory state in LRTintro, so the conjectured QSC cannot yet be compared to the worldsheet bootstrap.

— Strong coupling spectrum of $\mathrm{AdS}_3\times \mathrm{S}^3$ from string field theory  (2609.19266 - Alday et al., 16 Sep 2026) in Section 1, Introduction