Odd Dimensional Nonlocal Liouville Conformal Field Theories
High Energy Physics - Theory
2022-08-10 v1
Abstract
We construct Euclidean Liouville conformal field theories in odd number of dimensions. The theories are nonlocal and non-unitary with a log-correlated Liouville field, a -curvature background, and an exponential Liouville-type potential. We study the classical and quantum properties of these theories including the finite entanglement entropy part of the sphere partition function , the boundary conformal anomaly and vertex operators' correlation functions. We derive the analogue of the even-dimensional DOZZ formula and its semi-classical approximation.
Keywords
Cite
@article{arxiv.2206.10884,
title = {Odd Dimensional Nonlocal Liouville Conformal Field Theories},
author = {Amitay C. Kislev and Tom Levy and Yaron Oz},
journal= {arXiv preprint arXiv:2206.10884},
year = {2022}
}