Dilaton Effective Action with $\mathcal{N}=1$ Supersymmetry

Understand

We clarify the structure of the four-dimensional low-energy effective action that encodes the conformal and $U(1)$ R-symmetry anomalies in an $\mathcal{N}=1$ supersymmetric field theory.

• The action depends on the dilaton, $\tau$, associated with broken conformal symmetry, and the Goldstone mode, $\beta$, of the broken $U(1)$ R-symmetry.
• We present the action for general curved spacetime and background gauge field up to and including all possible four-derivative terms.
• The result, constructed from basic principles, extends and clarifies the structure found by Schwimmer and Theisen in arXiv:1011.0696 using superfield methods.