Results 31 to 40 of about 1,163,258 (208)
Conformal boundary conditions, loop gravity and the continuum
In this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the continuum.
Wolfgang Wieland
doaj +1 more source
Two point functions in defect CFTs
This paper is designed to be a practical tool for constructing and investigating two-point correlation functions in defect conformal field theory, directly in physical space, between any two bulk primaries or between a bulk primary and a defect primary ...
Christopher P. Herzog, Abhay Shrestha
doaj +1 more source
From Operator Algebras to Superconformal Field Theory [PDF]
We make a review on the recent progress in the operator algebraic approach to (super)conformal field theory. We discuss representation theory, classification results, full and boundary conformal field theories, relations to supervertex operator algebras ...
Connes A.+8 more
core +1 more source
Recursive structure of the Gauß hypergeometric function and boundary/crosscap conformal block [PDF]
The Gau\ss{} hypergeometric function shows a recursive structure which resembles those found in conformal blocks. We compare it with the recursive structure of the conformal block in boundary/crosscap conformal field theories that is obtained from the representation theory. We find that the pole structure perfectly agrees but the recursive structure in
arxiv +1 more source
Distributions in CFT. Part I. Cross-ratio space
We show that the four-point functions in conformal field theory are defined as distributions on the boundary of the region of convergence of the conformal block expansion.
Petr Kravchuk+2 more
doaj +1 more source
Chern-Simons Theories in the AdS/CFT Correspondence [PDF]
We consider the AdS/CFT correspondence for theories with a Chern-Simons term in three dimensions. We find the two-point functions of the boundary conformal field theories for the Proca-Chern-Simons theory and the Self-Dual model.
Banks+15 more
core +4 more sources
Boundary Liouville Conformal Field Theory in Four Dimensions [PDF]
Higher dimensional Euclidean Liouville conformal field theories (LCFTs) consist of a log-correlated real scalar field with a background charge and an exponential potential. We analyse the LCFT on a four-dimensional manifold with a boundary. We extend to the boundary, the conformally covariant GJMS operator and the ${\cal Q}$-curvature term in the LCFT ...
arxiv
O(N) models with boundary interactions and their long range generalizations
We study the critical properties of scalar field theories in d + 1 dimensions with O(N) invariant interactions localized on a d-dimensional boundary. By a combination of large N and epsilon expansions, we provide evidence for the existence of non-trivial
Simone Giombi, Himanshu Khanchandani
doaj +1 more source
Information metric on the boundary
The information metric on the space of boundary coupling constants in two-dimensional conformal field theories is studied. Such a metric is related to the Casimir energy difference of the theory defined on an interval.
Kenta Suzuki+3 more
doaj +1 more source
Operator expansions, layer susceptibility and two-point functions in BCFT
We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility.
Parijat Dey, Tobias Hansen, Mykola Shpot
doaj +1 more source