Superspace formulation of the local RG equation
arXiv:1502.05962
Abstract
We present the superspace formulation of the local RG equation, a framework for the study of supersymmetric RG flows in which the constraints of holomorphy and R-symmetry are manifest. We derive the consistency conditions associated with super-Weyl symmetry off-criticality and initiate the study of their implications. As examples, we derive an expression for the a-function, and present an analog of the a-maximization equation, which is valid off-criticality. We also apply this machinery to the study of conformal manifolds and give a simple proof that the metric on such manifolds is Kahler.
arXiv comment44 pages; V2: references added
References in corpus (14)
- On Renormalization Group Flows in Four Dimensions
- The Constraints of Conformal Symmetry on RG Flows
- The -theorem and the Asymptotics of 4D Quantum Field Theory
- Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity
- Limit Cycles and Conformal Invariance
- Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching
- Consequences of Weyl Consistency Conditions
- Mapping Anomalous Currents in Supersymmetric Dualities
- Scale invariance vs conformal invariance
- Supercurrent, Supervirial and Superimprovement
- A Conjectured Bound on Accidental Symmetries
- On Conformal Deformations II
- The local RG equation and chiral anomalies
- a-Maximization, Global Symmetries and RG Flows