F-polynomials are certain polynomials appears in the expansion formula of a cluster variable, see for example the formula (6.5) in [cluster algebras IV](https://arxiv.org/abs/math/0602259). Theta functions in [the paper](https://arxiv.org/pdf/1411.1394.pdf) correspond to cluster variables. Are there some relations between F-polynomials and theta functions? Thank you very much.