Stress-tensor deformations of non-conformal massive integrable theories

Determine whether integrable seed theories with non-conformal potentials, such as sinh-Gordon theory, admit a non-trivial family of stress-tensor deformations.

Background

The auxiliary metric reduction developed in the paper relies on classical Weyl invariance: the conformal factor decouples from the matter sector and can then be eliminated algebraically. For non-conformal or massive seed theories, that simplification fails, so the full auxiliary geometry must be retained. The paper leaves unresolved whether examples such as sinh-Gordon theory possess any non-trivial stress-tensor deformation family.

References

It is still not clear if seed theories with potentials (e.g., sinh-Gordon) admit a non-trivial family of stress-tensor deformations.

— Integrable auxiliary field sigma model and the metric approach to $T\bar{T}$-like deformations  (2610.13501 - Baglioni et al., 9 Oct 2026) in Section Conclusions and outlooks

It could be that the integrability of this family of metric deformations is in general broken for any B(\Omega,\frak m_\pm) except for B_{T\bar T}. T\bar T could be the exception due to being a change of coordinates.

— Integrable auxiliary field sigma model and the metric approach to $T\bar{T}$-like deformations  (2610.13501 - Baglioni et al., 9 Oct 2026) in Section Conclusions and outlooks