On Limit Cycles in Supersymmetric Theories
arXiv:1210.2718 · doi:10.1016/j.physletb.2012.12.059
Abstract
Contrary to popular belief conformality does not require zero beta functions. This follows from the work of Jack and Osborn, and examples in non-supersymmetric theories were recently found by some of us. In this note we show that such examples are absent in unitary N=1 supersymmetric four-dimensional field theories. More specifically, we show to all orders in perturbation theory that the beta-function vector field of such theories does not admit limit cycles. A corollary of our result is that unitary N=1 supersymmetric four-dimensional theories cannot be superscale-invariant without being superconformal.
8 pages, 1 figure. Improved discussion in Section 5
References in corpus (10)
- Limit Cycles and Conformal Invariance
- Scale without Conformal Invariance: An Example
- Scale without Conformal Invariance: Theoretical Foundations
- Scale without Conformal Invariance at Three Loops
- Limit Cycles in Four Dimensions
- On R-symmetric Fixed Points and Superconformality
- Supercurrent, Supervirial and Superimprovement
- Comments on Worldsheet Description of the Omega Background
- Comments on scale invariant but non-conformal supersymmetric field theories
- Is There Scale Invariance in N=1 Supersymmetric Field Theories ?
Cited by in corpus (14)
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- Limit Cycles and Conformal Invariance
- Constraints on RG Flow for Four Dimensional Quantum Field Theories
- Spontaneously Broken Conformal Symmetry: Dealing with the Trace Anomaly
- Consequences of Weyl Consistency Conditions
- Consistency of local renormalization group in d=3
- The a-function for gauge theories
- Scale invariance vs conformal invariance
- Weyl Consistency Conditions in Non-Relativistic Quantum Field Theory
- Minimal Distances Between SCFTs
- Vector Beta function
- Scale vs Conformal invariance from Entanglement Entropy
- Gravity duals of cyclic RG flows, with strings attached
- RG Flows and Dynamical Systems