569 citations · 3.4k across the 27 of their papers we have counts for
29 papers · 1 filter
The doubly conformal dispersion relation
Maddalena Ferragatta, Balt C. van Rees
We provide a simple derivation of the conformal dispersion relation of Carmi and Caron-Huot which reconstructs a CFT four-point function from its double discontinuity. We exhibit a…
Universality of the microcanonical entropy at large spin
Sridip Pal, Jiaxin Qiao, Balt C. van Rees
We consider rigorous consequences of modular invariance for two-dimensional unitary non-rational CFTs with . Simple estimates for the torus partition function can lead to re…
A bootstrap study of minimal model deformations
António Antunes, Edoardo Lauria, Balt C. van Rees
For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap me…
QFT in AdS instead of LSZ
Balt C. van Rees, Xiang Zhao
The boundary correlation functions for a QFT in a fixed AdS background should reduce to S-matrix elements in the flat-space limit. We consider this procedure in detail for four-poi…
Bootstrapping boundary-localized interactions II: Minimal models at the boundary
Connor Behan, Lorenzo Di Pietro, Edoardo Lauria +1
We provide evidence for the existence of non-trivial unitary conformal boundary conditions for a three-dimensional free scalar field, which can be obtained via a coupling to the m'…
Towards Bootstrapping RG flows: Sine-Gordon in AdS
António Antunes, Miguel S. Costa, João Penedones +2
The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renorma…
Regge trajectories for the (2,0) theories
Madalena Lemos, Balt C. van Rees, Xiang Zhao
We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2,0) theories in six dimensions. The different conformal multiplets in a single super…
Bootstrapping boundary-localized interactions
Connor Behan, Lorenzo Di Pietro, Edoardo Lauria +1
We study conformal boundary conditions for the theory of a single real scalar to investigate whether the known Dirichlet and Neumann conditions are the only possibilities. For this…
Landau diagrams in AdS and S-matrices from conformal correlators
Shota Komatsu, Miguel F. Paulos, Balt C. van Rees +1
Quantum field theories in AdS generate conformal correlation functions on the boundary, and in the limit where AdS is nearly flat one should be able to extract an S-matrix from suc…
Line and surface defects for the free scalar field
Edoardo Lauria, Pedro Liendo, Balt C. van Rees +1
For a single free scalar field in dimensions, almost all the unitary conformal defects must be `trivial' in the sense that they cannot hold interesting dynamics. The onl…
Applications of Alpha Space
Daniel Rutter, Balt C. van Rees
We extend the definition of alpha space as introduced in [1] to two spacetime dimensions. We discuss how this can be used to find conformal block decompositions of known functions…
Crossing Symmetry in Alpha Space
Matthijs Hogervorst, Balt C. van Rees
We initiate the study of the conformal bootstrap using Sturm-Liouville theory, specializing to four-point functions in one-dimensional CFTs. We do so by decomposing conformal corre…
More superconformal bootstrap
Christopher Beem, Leonardo Rastelli, Balt C. van Rees
In this long overdue second installment, we continue to develop the conformal bootstrap program for superconformal field theories in four dimensions via an analysi…
The S-matrix Bootstrap II: Two Dimensional Amplitudes
Miguel F. Paulos, Joao Penedones, Jonathan Toledo +2
We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish r…
The S-matrix Bootstrap I: QFT in AdS
Miguel F. Paulos, Joao Penedones, Jonathan Toledo +2
We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions…
Unitarity violation at the Wilson-Fisher fixed point in 4-epsilon dimensions
Matthijs Hogervorst, Slava Rychkov, Balt C. van Rees
We consider the continuation of free and interacting scalar field theory to non-integer spacetime dimension d. We find that the correlation functions in these theories are necessar…
Conformal Invariance in the Long-Range Ising Model
Miguel F. Paulos, Slava Rychkov, Balt C. van Rees +1
We consider the question of conformal invariance of the long-range Ising model at the critical point. The continuum description is given in terms of a nonlocal field theory, and th…
The superconformal bootstrap
Christopher Beem, Madalena Lemos, Leonardo Rastelli +1
We develop the conformal bootstrap program for six-dimensional conformal field theories with supersymmetry, focusing on the universal four-point function of stress tensor m…
The superconformal bootstrap
Christopher Beem, Madalena Lemos, Pedro Liendo +2
In this work we initiate the conformal bootstrap program for superconformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint…
A Cheap Alternative to the Lattice?
Matthijs Hogervorst, Slava Rychkov, Balt C. van Rees
We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in d dimensions. We use the Truncated Conformal Space Approach (TCSA), a Hamilt…
Chiral algebras of class S
Christopher Beem, Wolfger Peelaers, Leonardo Rastelli +1
Four-dimensional N=2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras. In this paper, we…
W Symmetry in six dimensions
Christopher Beem, Leonardo Rastelli, Balt C. van Rees
Six-dimensional conformal field theories with supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional ch…
Infinite Chiral Symmetry in Four Dimensions
Christopher Beem, Madalena Lemos, Pedro Liendo +3
We describe a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras. The meromorphic correlators of t…
Resummation and S-duality in N=4 SYM
Christopher Beem, Leonardo Rastelli, Ashoke Sen +1
We consider the problem of resumming the perturbative expansions for anomalous dimensions of low twist, non-BPS operators in four dimensional N=4 supersymmetric Yang-Mills theories…