Abstract
The operator product expansion (OPE) in 4d (super)conformal field theory is of broad interest, for both formal and phenomenological applications. In this paper, we use conformal perturbation theory to study the OPE of nearly-free fields coupled to SCFTs. Under fairly general assumptions, we show that the OPE of a chiral operator of dimension Δ = 1 + ∈ with its complex conjugate always contains an operator of dimension less than 2Δ. Our bounds apply to Banks-Zaks fixed points and their generalizations, as we illustrate using several examples.
| Original language | English (US) |
|---|---|
| Article number | 26 |
| Journal | Journal of High Energy Physics |
| Volume | 2012 |
| Issue number | 9 |
| DOIs | |
| State | Published - 2012 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Keywords
- Conformal and W symmetry
- Supersymmetry and duality