Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2015-05

Stijn J. van Tongeren

On classical Yang-Baxter based deformations of the AdS5 x S5 superstring.


Abstract: Interesting deformations of AdS5×S5 such as the gravity dual of noncommutative SYM and Schrödinger spacetimes have recently been shown to be integrable. We clarify questions regarding the reality and integrability properties of the associated construction based on R matrices that solve the classical Yang-Baxter equation, and present an overview of manifestly real R matrices associated to the various deformations. We also discuss when these R matrices should correspond to TsT transformations, which not all do, and briefly analyze the symmetries preserved by these deformations, for example finding Schrödinger superalgebras that were previously obtained as subalgebras of psu(2, 2|4). Our results contain a (singular) generalization of an apparently non-TsT deformation of AdS5×S5, whose status as a string background is an interesting open question.


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2015-05


16 pp.