Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching

Abstract

We argue that when conformal symmetry is spontaneously broken the trace anomalies in the broken and unbroken phases are matched. This puts strong constraints on the various couplings of the dilaton. Using the uniqueness of the effective action for the Goldstone supermultiplet for broken $\mathcal{N}=1$ superconformal symmetry the dilaton effective action is calculated.

29 pages, 2 figures

References in corpus (1)

• Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions

Cited by in corpus (25)

• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• Spin Impurities, Wilson Lines and Semiclassics
• Universal Asymptotics for High Energy CFT Data
• Double-soft behavior of the dilaton of spontaneously broken conformal invariance
• Bootstrapping the $a$-anomaly in $4d$ QFTs
• The a-theorem and conformal symmetry breaking in holographic RG flows
• Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
• Non-compact duality, super-Weyl invariance and effective actions
• Weyl Anomaly induced Fermi Condensation and Holography
• Early universe in quantum gravity
• $a$-Anomalous Interactions of the Holographic Dilaton
• Chiral current induced by torsional Weyl anomaly
• Dark side of Weyl gravity
• Trace Anomaly Matching and Exact Results For Entanglement Entropy
• Superconformal anomalies from superconformal Chern-Simons polynomials
• Covariantly Constant Anomalies on Conformal Manifolds
• Dilatons Improve (Non)-Goldstones
• Dilaton in scalar QFT: a no-go theorem in $4-\epsilon$ and $3-\epsilon$ dimensions
• Note On The Dilaton Effective Action And Entanglement Entropy
• Superspace formulation of the local RG equation
• The a-theorem for the four-dimensional gauged vector model
• EFT of 6D SUSY RG Flows
• The a-theorem for the four-dimensional vector model
• $\mathcal{N}$ = $1$ Euler Anomaly from RG-dependent metric-Background
• Aspects of 4d supersymmetric dynamics and geometry