Generalised kinematics for double field theory

Freidel, Laurent; Rudolph, Felix J. und Svoboda, David (2017): Generalised kinematics for double field theory. In: Journal of High Energy Physics, Nr. 11, 175

Abstract

We formulate a kinematical extension of Double Field Theory on a 2 d-dimensional para-Hermitian manifold (P, eta, omega) where the O(d, d) metric eta is supplemented by an almost symplectic two-form omega. Together eta and omega define an almost bi-Lagrangian structure K which provides a splitting of the tangent bundle TP = L circle plus (L) over tilde into two Lagrangian sub-spaces. In this paper a canonical connection and a corresponding generalised Lie derivative for the Leibniz algebroid on TP are constructed. We find integrability conditions under which the symmetry algebra closes for general eta and omega, even if they are not flat and constant. This formalism thus provides a generalisation of the kinematical structure of Double Field Theory. We also show that this formalism allows one to reconcile and unify Double Field Theory with Generalised Geometry which is thoroughly discussed.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 1029-8479
• Sprache: Englisch