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arXiv · 2206.10884

Odd Dimensional Nonlocal Liouville Conformal Field Theories

Amitay C. Kislev·Tom Levy·Yaron Oz
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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 ${\cal Q}$-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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Amitay C. Kislev, Tom Levy, Yaron Oz. 2022-06-22. Odd Dimensional Nonlocal Liouville Conformal Field Theories. https://doi.org/10.1007/jhep07(2022)150

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