Extend the analysis to nonzero momentum

Generalize the radial-cavity analysis in ${\cal M}_3$ to states with nonzero spatial momentum and determine the corresponding boundary conditions and spectra.

Background

The detailed analysis in the paper restricts to vanishing chemical potential and spatial momentum. Extending it to nonzero momentum requires, in particular, a suitable generalization of the dilaton boundary conditions, which the authors explicitly leave unresolved.

References

In the discussion in section \ref{secfour} we restricted our attention to the zero momentum case. It would be interesting to generalize the discussion to non-zero momentum. One question that needs to be addressed to this end is the generalization of the boundary conditions we used to non-zero momentum. We leave a detailed study of this issue to future work.

— Interpolating between single and double trace $T\bar T$ by moving LST into the bulk  (2609.10823 - Chu et al., 9 Sep 2026) in Section 5, Discussion