On non-supersymmetric conformal manifolds: field theory and holography
| Autor: | Matteo Bertolini, Himanshu Raj, Vladimir Bashmakov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Conformal Field Theory 010308 nuclear & particles physics Conformal field theory FOS: Physical sciences Conformal map 1/N Expansion Supersymmetry 1/N expansion AdS-CFT Correspondence 01 natural sciences Manifold Settore FIS/02 - Fisica Teorica Modelli e Metodi Matematici AdS/CFT correspondence Theoretical physics High Energy Physics - Theory (hep-th) 0103 physical sciences lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Perturbation theory (quantum mechanics) Operator product expansion 010306 general physics |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2017, Iss 11, Pp 1-26 (2017) |
| Popis: | We discuss the constraints that a conformal field theory should enjoy to admit exactly marginal deformations, i.e. to be part of a conformal manifold. In particular, using tools from conformal perturbation theory, we derive a sum rule from which one can extract restrictions on the spectrum of low spin operators and on the behavior of OPE coefficients involving nearly marginal operators. We then consider conformal field theories admitting a gravity dual description, and as such a large-$N$ expansion. We discuss the relation between conformal perturbation theory and loop expansion in the bulk, and show how such connection could help in the search for conformal manifolds beyond the planar limit. Our results do not rely on supersymmetry, and therefore apply also outside the realm of superconformal field theories. Comment: 30 pages, figures. v3: discussion on contribution of graviton exchange extended + minor corrections |
| Databáze: | OpenAIRE |
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