# Notes on relevant, irrelevant, marginal and extremal double trace perturbations

@article{Porrati2016NotesOR, title={Notes on relevant, irrelevant, marginal and extremal double trace perturbations}, author={Massimo Porrati and Cedric Yu}, journal={Journal of High Energy Physics}, year={2016}, volume={2016}, pages={1-18} }

A bstractDouble trace deformations, that is products of two local operators, define perturbations of conformal field theories that can be studied exactly in the large-N limit. Even when the double trace deformation is irrelevant in the infrared, it is believed to flow to an ultraviolet fixed point. In this note we define the Källen-Lehmann representation of the two-point function of a local operator O in a theory perturbed by the square of such operator. We use such representation to discover…

## 2 Citations

Boundary-to-bulk maps for AdS causal wedges and RG flow

- MathematicsJournal of High Energy Physics
- 2019

Abstract
We consider the problem of defining spacelike-supported boundary-to-bulk propagators in AdS
d+1 down to the unitary bound ∆ = (d − 2)/2. That is to say, we construct the ‘smearing…

Are there Goldstone bosons in
d≤z+1
?

- PhysicsPhysical Review D
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We study the viability of spontaneous breaking of continuous symmetries in theories with Lifshitz scaling, according to the number of space-time dimensions $d$ and the dynamical scaling $z$. Then,…

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