### Weyl anomaly cancellation in string theories on generalized supergravity backgrounds

Recently, there has been a fundamental and significant development in the Green-Schwarz (GS) formulation of superstring theory. In this formulation, the kappa-symmetry plays a central role to ensure the consistency of the theory. In 2016, Tseytlin and Wulff showed that the kappa-symmetry constraints of the GS superstring defined on an arbitrary background lead to a "generalized" supergravity, which contains an additional (non-dynamical) vector field, rather than the standard supergravity. This result indicates that we might have overlooked a potentially important ingredient in the low-energy effective theory of string theory for long time, and may open up new directions including phenomenology and cosmology.

In this talk, I will give an overview on the progress on Yang-Baxter deformations of the $AdS_5 \times S^5$ superstring and the generalized supergravity. Finally, I would like to discuss the cancellation of Weyl anomaly in string theories on generalized supergravity backgrounds.

Tuesday, 12th of February 2019, 14:30, sala Wataghin