Concept
Théorie de Liouville
Publications associées (99)
Flux correlators and semiclassics
Riccardo Rattazzi, Alexander Monin, Eren Clément Firat, Matthew Thomas Walters
We consider correlators for the flux of energy and charge in the background of operators with large global U(1) charge in conformal field theory (CFT). It has recently been shown that the corresponding Euclidean correlators generically admit a semiclassica ...
Springer2024Null energy constraints on two-dimensional RG flows
We study applications of spectral positivity and the averaged null energy condition (ANEC) to renormalization group (RG) flows in two-dimensional quantum field theory. We find a succinct new proof of the Zamolodchikov c-theorem, and derive further independ ...
New York2024Bootstrapping smooth conformal defects in Chern-Simons-matter theories
The expectation value of a smooth conformal line defect in a CFT is a conformal invariant functional of its path in space-time. For example, in large N holographic theories, these fundamental observables are dual to the open-string partition function in Ad ...
New York2024The Källén-Lehmann representation in de Sitter spacetime
Manuel Loparco, Kamran Salehi Vaziri
We study two-point functions of symmetric traceless local operators in the bulk of de Sitter spacetime. We derive the Kallen-Lehmann spectral decomposition for any spin and show that unitarity implies its spectral densities are nonnegative. In addition, we ...
New York2023Identifying Large Charge operators
Riccardo Rattazzi, Alexander Monin, Gil Badel
The Large Charge sector of Conformal Field Theory (CFT) can generically be described through a semiclassical expansion around a superfluid background. In this work, focussing on U(1) invariant Wilson-Fisher fixed points, we study the spectrum of spinning l ...
SPRINGER2023Anomaly-free scale symmetry and gravity
In this Letter, we address the question of whether the conformal invariance can be considered as a global symmetry of a theory of fundamental interactions. To describe Nature, this theory must contain a mechanism of spontaneous breaking of the scale symmet ...
ELSEVIER2023Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure
Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin et al. (Nucl Phys B 241(2):333-380, 1984). Both exhibit exactly solvable structures in two dimensions. A long-standing question ( ...
SPRINGER2022