Double Field Theory on Para-Hermitian Manifolds

by Prof. Richard SZABO (Heriot-Watt University )

Thursday 18 Jul 2019, 14:30 → 15:30 Europe/Rome

0M03 (Dipartimento di Fisica "Ettore Pancini")

We briefly review the arguments that T-duality leads to doubled geometry
and non-geometry in string theory, and how these notions are partially
captured by generalized geometry and double field theory. We then describe
how the latter two descriptions can be unified into a global and rigorous
formulation of doubled target spaces as para-Hermitian manifolds. We will
work through the main ideas and definitions of para-Hermitian geometry,
together with many examples, and how they reduce to generalized geometry
and double field theory on flat space as special instances.