Ising Field Theory with simultaneous energy and magnetic deformations

Determine the behavior of three-dimensional Ising Field Theory on a spatial sphere when both the energy operator ε and the spin operator σ are turned on as relevant deformations.

Background

The paper studies the three-dimensional Ising Field Theory with only the magnetic σ deformation. The authors identify the simultaneous ε and σ deformation as a specific unresolved extension of the model, which would explore the broader two-parameter relevant-deformation space of the three-dimensional Ising CFT.

References

For example, what happens in the presence of both $\epsilon$ and $\sigma$ deformations?

3d Ising Field Theory with Magnetic Deformation: Fuzzy Sphere Meets TCSA  (2609.10670 - Fardelli et al., 9 Sep 2026) in Section 6, “Future Directions”