Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Radial Coordinates for Conformal Blocks

- Matthijs Hogervorst, S. Rychkov
- Physics
- 5 March 2013

We develop the theory of conformal blocks in CFT_d expressing them as power series with Gegenbauer polynomial coefficients. Such series have a clear physical meaning when the conformal block is… Expand

Crossing symmetry in alpha space

- Matthijs Hogervorst, B. V. Rees
- Physics
- 27 February 2017

A bstractWe 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 correlators… Expand

The ABC (in any D) of logarithmic CFT

- Matthijs Hogervorst, M. Paulos, A. Vichi
- Physics
- 12 May 2016

A bstractLogarithmic conformal field theories have a vast range of applications, from critical percolation to systems with quenched disorder. In this paper we thoroughly examine the structure of… Expand

Diagonal limit for conformal blocks in d dimensions

- Matthijs Hogervorst, H. Osborn, S. Rychkov
- Physics
- 6 May 2013

A bstractConformal blocks in any number of dimensions depend on two variables z, $ \overline{z} $. Here we study their restrictions to the special “diagonal” kinematics $ z=\overline{z} $, previously… Expand

Dimensional reduction for conformal blocks

- Matthijs Hogervorst
- Physics
- 29 April 2016

A bstractWe consider the dimensional reduction of a CFT, breaking multiplets of the d-dimensional conformal group SO(d + 1, 1) up into multiplets of SO(d, 1). This leads to an expansion of… Expand

Truncated conformal space approach in d dimensions: A cheap alternative to lattice field theory?

- Matthijs Hogervorst, B. V. Rees, S. Rychkov
- Physics
- 6 January 2015

We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in d dimensions. We use the truncated conformal space approach, a Hamiltonian method which… Expand

Unitarity violation at the Wilson-Fisher fixed point in 4− dimensions

- Matthijs Hogervorst, S. Rychkov, C. Rees
- 2018

We consider the continuation of free and interacting scalar field theory to noninteger spacetime dimension d. We find that the correlation functions in these theories are necessarily incompatible… Expand

Crossing Kernels for Boundary and Crosscap CFTs

- Matthijs Hogervorst
- Mathematics, Physics
- 23 March 2017

This paper investigates d-dimensional CFTs in the presence of a codimension-one boundary and CFTs defined on real projective space RP^d. Our analysis expands on the alpha space method recently… Expand

A Cheap Alternative to the Lattice

- Matthijs Hogervorst, S. Rychkov, B. V. Rees
- Physics
- 4 September 2014

We show how to perform accurate, nonperturbative and controlled calculations in quantum eld theory in d dimensions. We use the Truncated Conformal Space Approach (TCSA), a Hamiltonian method which… Expand

Unitarity violation at the Wilson-Fisher fixed point in 4-$\epsilon$ dimensions

- Matthijs Hogervorst, S. Rychkov, B. V. Rees
- Physics
- 30 November 2015

We consider the continuation of free and interacting scalar field theory to noninteger spacetime dimension d. We find that the correlation functions in these theories are necessarily incompatible… Expand

...

1

2

...