EFT of 6D SUSY RG Flows

Abstract

Motivated by its potential use in constraining the structure of 6D renormalization group flows, we determine the low energy dilaton-axion effective field theory of conformal and global symmetry breaking in 6D conformal field theories (CFTs). While our analysis is largely independent of supersymmetry, we also investigate the case of 6D superconformal field theories (SCFTs), where we use the effective action to present a streamlined proof of the 6D a-theorem for tensor branch flows, as well as to constrain properties of Higgs branch and mixed branch flows. An analysis of Higgs branch flows in some examples leads us to conjecture that in 6D SCFTs, an interacting dilaton effective theory may be possible even when certain 4-dilaton 4-derivative interaction terms vanish, because of large momentum modifications to 4-point dilaton scattering amplitudes. This possibility is due to the fact that in all known $D>4$ CFTs, the approach to a conformal fixed point involves effective strings which are becoming tensionless.

arXiv comment38 pages, 2 figures

References in corpus (25)

• Causality, Analyticity and an IR Obstruction to UV Completion
• On Renormalization Group Flows in Four Dimensions
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• Some Comments On String Dynamics
• On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
• The Constraints of Conformal Symmetry on RG Flows
• The $a$-theorem and the Asymptotics of 4D Quantum Field Theory
• Non-trivial Fixed Points of The Renormalization Group in Six Dimensions
• On the Defect Group of a 6D SCFT
• Classifying bases for 6D F-theory models
• Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
• Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching
• 6D RG Flows and Nilpotent Hierarchies
• Non-linear Realizations of Conformal Symmetry and Effective Field Theory for the Pseudo-Conformal Universe
• Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories
• Fission, Fusion, and 6D RG Flows
• Surface Defect, Anomalies and $b$-Extremization
• Revisiting the classifications of 6d SCFTs and LSTs
• Classification of 6d N=(1,0) gauge theories
• T-Branes, String Junctions, and 6D SCFTs
• From 6D SCFTs to Dynamic GLSMs
• 6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains
• Qubit Construction in 6D SCFTs
• $\mathcal{N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions

Cited by in corpus (1)

• Swampland Conditions for Higher Derivative Couplings from CFT