Anomalous Dimensions of Non-Chiral Operators from AdS/CFT
arXiv:1104.5013 · doi:10.1007/JHEP10(2011)113
Abstract
Non-chiral operators with positive anomalous dimensions can have interesting applications to supersymmetric model building. Motivated by this, we develop a new method for obtaining the anomalous dimensions of non-chiral double-trace operators in N=1 superconformal field theories (SCFTs) with weakly-coupled AdS duals. Via the Hamiltonian formulation of AdS/CFT, we show how to directly compute the anomalous dimension as a bound state energy in the gravity dual. This simplifies previous approaches based on the four-point function and the OPE. We apply our method to a class of effective AdS5 supergravity models, and we find that the binding energy can have either sign. If such models can be UV completed, they will provide the first calculable examples of SCFTs with positive anomalous dimensions.
38 pages, 2 figures, refs added
References in corpus (13)
- Causality, Analyticity and an IR Obstruction to UV Completion
- Holography from Conformal Field Theory
- Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
- Bounds on 4D Conformal and Superconformal Field Theories
- Effective Conformal Theory and the Flat-Space Limit of AdS
- Bounds in 4D Conformal Field Theories with Global Symmetry
- Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
- Type IIB supergravity on squashed Sasaki-Einstein manifolds
- Conformal Sequestering Simplified
- More Holography from Conformal Field Theory
- A hidden solution to the mu/B_mu problem in gauge mediation
- General Messenger Gauge Mediation
- Phenomenology of SUSY with scalar sequestering
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