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Radial Coordinates for Conformal Blocks
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
Crossing symmetry in alpha space
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
The ABC (in any D) of logarithmic CFT
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
Diagonal limit for conformal blocks in d dimensions
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} $, previously
Dimensional reduction for conformal blocks
A bstractWe consider the dimensional reduction of a CFT, breaking multiplets of the d-dimensional conformal group SO(d + 1, 1) up into multiplets of SO(d, 1). This leads to an expansion of
Truncated conformal space approach in d dimensions: A cheap alternative to lattice field theory?
We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in d dimensions. We use the truncated conformal space approach, a Hamiltonian method which
Unitarity violation at the Wilson-Fisher fixed point in 4− dimensions
We consider the continuation of free and interacting scalar field theory to noninteger spacetime dimension d. We find that the correlation functions in these theories are necessarily incompatible
Crossing Kernels for Boundary and Crosscap CFTs
This paper investigates d-dimensional CFTs in the presence of a codimension-one boundary and CFTs defined on real projective space RP^d. Our analysis expands on the alpha space method recently
A Cheap Alternative to the Lattice
We show how to perform accurate, nonperturbative and controlled calculations in quantum eld theory in d dimensions. We use the Truncated Conformal Space Approach (TCSA), a Hamiltonian method which
Unitarity violation at the Wilson-Fisher fixed point in 4-$\epsilon$ dimensions
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
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