The Dilaton Wess-Zumino Action in 6 Dimensions from Weyl Gauging: Local Anomalies and Trace Relations

Abstract

We extend a previous analysis on the derivation of the dilaton Wess-Zumino (WZ) action in $d=4$, based on the method of Weyl gauging, to $6$ dimensions. As in the previous case, we discuss the structure of the same action in dimensional regularization using 6-dimensional Weyl invariants, extracting the dilaton interactions in the most general scheme, with the inclusion of the local anomaly terms. As an application, we present the WZ action for the (2,0) tensor multiplet, which has been investigated in the past in the context of the $Ad{S}_7/CF{T}_6$ holographic anomaly matching. We then extend to $d=6$ the investigation of fully traced correlation functions of EMT's, formerly presented in $d=4$, showing that their hierarchy is functionally related only to the first 6 correlators. We give the explicit expressions of these in the most general scheme, up to rank-4.

33 pages. arXiv admin note: text overlap with arXiv:1306.4248

References in corpus (3)

• Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching
• Gravity and the Neutral Currents: Effective Interactions from the Trace Anomaly
• Conformal Trace Relations from the Dilaton Wess-Zumino Action

Cited by in corpus (11)

• Weyl Connections and their Role in Holography
• Structures on the Conformal Manifold in Six Dimensional Theories
• The General 3-Graviton Vertex ($TTT$) of Conformal Field Theories in Momentum Space in $d=4$
• Anomalous Gravitational TTT Vertex, Temperature Inhomogeneity, and Pressure Anisotropy
• Superconformal Sum Rules and the Spectral Density Flow of the Composite Dilaton (ADD) Multiplet in $\mathcal{N}=1$ Theories
• Topological Corrections and Conformal Backreaction in the Einstein Gauss-Bonnet/Weyl Theories of Gravity at D=4
• Dilaton invading from infinitesimal extra dimension
• Broken Scale Invariance and the Regularization of a Conformal Sector in Gravity with Wess-Zumino actions
• Addendum: Weyl cocycles, (Class.Quantum Grav. 3 (1986) 635)
• The Conformal Anomaly Action to Fourth Order (4T) in $d=4$ in Momentum Space
• Conformal anomaly actions for dilaton interactions