Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP07(2022)150
Keywords
Field Theories in Higher Dimensions; Field Theories in Lower Dimensions; Integrable Field Theories; Scale and Conformal Symmetries
Categories
Funding
- Israel Science Foundation Center of Excellence
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We investigate the construction and properties of Euclidean Liouville conformal field theories in odd dimensions. These theories exhibit nonlocality and non-unitarity, with a logarithmically correlated Liouville field, a Q-curvature background, and an exponential Liouville-type potential. We examine the classical and quantum properties of these theories, including the finite entanglement entropy of the sphere partition function, the boundary conformal anomaly, and the correlation functions of vertex operators. Additionally, we derive an analogue of the even-dimensional DOZZ formula and its semiclassical approximation.
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 Q-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 F, the boundary conformal anomaly and vertex operators' correlation functions. We derive the analogue of the even-dimensional DOZZ formula and its semi-classical approximation.
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