Weyl invariance of string theories in generalized supergravity backgrounds

Abstract

We revisit Weyl invariance of string theories in generalized supergravity backgrounds. In the previous work arXiv:1703.09213, a possible counterterm was constructed, but it seems to be a point of controversy in some literatures whether it is non-local or not. To settle down this issue, we show that the counterterm may be local and exactly cancels out the one-loop trace anomaly in generalized supergravity backgrounds.

arXiv comment8 pages; v2: published version

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Cited by in corpus (20)

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• Generalized Dualities and Higher Derivatives
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• Yang-Baxter deformations and generalized supergravity -- A short summary
• Generalized Supergravity Equations and Generalized Fradkin-Tseytlin Counterterm
• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• Identifying Riemannian singularities with regular non-Riemannian geometry
• Non-abelian fermionic T-duality in supergravity
• Generalizing eleven-dimensional supergravity
• Generalized 11D supergravity equations from tri-vector deformations
• Yang-Baxter deformations of WZW model on the Heisenberg Lie group
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
• Integrability structures in string theory
• Poisson-Lie T-duality defects and target space fusion
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