Transverse generalized metrics and 2d sigma models

Pavol Severa , Thomas Strobl (1, 2)

1 PSPM - Probabilités, statistique, physique mathématique
2 ICJ - Institut Camille Jordan

We reformulate the compatibility condition between a generalized metric and a small (non-maximal rank) Dirac structure in an exact Courant algebroid found in the context of the gauging of strings and formulated by means of two connections in purely Dirac-geometric terms. The resulting notion, a transverse generalized metric, is also what is needed for the dynamics on the reduced phase space of a string theory.

Domaines: Physique mathématique [math-ph]; Géométrie différentielle [math.DG]; Physique des Hautes Energies - Théorie [hep-th]

Pavol Severa, Thomas Strobl. Transverse generalized metrics and 2d sigma models. Journal of Geometry and Physics, 2019, 146, pp.103509. ⟨10.1016/j.geomphys.2019.103509⟩. ⟨hal-02085905⟩