Quantum inconsistency of W3-gravity models associated with magical Jordan algebras
S.A. Lyakhovich, A.A. Sharapov
TL;DR
This paper demonstrates that W3-gravity models linked to magical Jordan algebras exhibit quantum anomalies, indicating inconsistency at the quantum level.
Contribution
It reveals the quantum inconsistency of W3-gravity models derived from magical Jordan algebras through Sugawara-type constructions.
Findings
W3-algebra models with magical Jordan algebras are anomalous at the quantum level
Sugawara construction leads to anomalies in W3-gravity models
Magical Jordan algebra-based models are inconsistent quantum mechanically
Abstract
It is shown that the Sugawara-type construction for W3-algebra associated with the four magical Jordan algebras leads to the anomalous theory of W3-gravity.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories