## Abstract

We continue our study of string theory in a background that interpolates between AdS_{3} in the infrared and a linear dilaton spacetime R^{1,1}×R_{ϕ} in the UV. This background corresponds via holography to a CFT_{2} deformed by a certain irrelevant operator of dimension (2,2). We show that for two point functions of local operators in the infrared CFT, conformal perturbation theory in this irrelevant operator has a finite radius of convergence in momentum space, and one can use it to flow up the renormalization group. The spectral density develops an imaginary part above a certain critical value of the spectral parameter; this appears to be related to the non-locality of the theory. In position space, conformal perturbation theory has a vanishing radius of convergence; the leading non-perturbative effect is an imaginary part of the two point function.

Original language | English |
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Pages (from-to) | 241-253 |

Number of pages | 13 |

Journal | Nuclear Physics B |

Volume | 932 |

DOIs | |

State | Published - Jul 2018 |

### Bibliographical note

Publisher Copyright:© 2018 The Author(s)