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.

8 pages; v2: published version

References in corpus (8)

• Double Field Theory
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• $T$-folds from Yang-Baxter deformations
• Supergravity backgrounds of the eta-deformed AdS2 x S2 x T6 and AdS5 x S5 superstrings
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• Structure of Lanczos-Lovelock Lagrangians in Critical Dimensions
• Poisson-Lie duals of the eta deformed symmetric space sigma model

Cited by in corpus (20)

• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Generalized Dualities and Higher Derivatives
• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
• Unimodular jordanian deformations of integrable superstrings
• Non-abelian tri-vector deformations in d=11 supergravity
• $\mathbf{O}(D,D)$ completion of the Friedmann equations
• 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
• Generalized Supergravity Equations for the WZW Model
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Integrable deformed H${}_{{}_4}$ WZW models and their non-Abelian duals as solutions of generalized supergravity equations