Thursday 22 November 2018
from 13:15
to 14:00 at
Nordita 132:028

Speaker :

Felix Rudolph (Max Planck Institute for Physics, Munich)

Abstract :

The arena of quantum gravity can be constructed as a doubled geometry
which incorporates principles of classical and quantum mechanics,
general relativity and string theory. This doubled space can be viewed
as the phase space of a string or as the doubled target space that
appears in Double Field Theory. Extended symmetries such as the O(d,d)
group associated with T-duality of the string are an integral part of
the construction. Such a setup has been dubbed "Born Geometry" and is
an extension of Riemannian geometry to capture some features of
quantum gravity.
I will give a pedagogical introduction to this doubled geometry which
can be formulated as a para-Hermitian space with a generalized
metric. I will discuss what geometric structures appear and present a
unique torsionfree connection for Born geometry in analogy to the
Levi-Civita connection for Riemannian geometry.