NL zoom meetings 2020/2021

Session 9: Non-Lorentzian geometry meets double field theory (March 10)

Programme (Time zone is CET):

 

12.30 – 13.15 Jeong-Hyuck Park (Sogang University)

13.15 – 14.00 David Berman (Queen Mary)

14.00 – 14.10 Break

14.10 – 14.55 Domingo Gallegos (Utrecht University)

14.55 – 15.05 Break

15.05 – 16.00 Discussion

The titles and abstracts:

 

Speaker: Jeong-Hyuck Park

Title: Unification of Riemannian and non-Riemannian geometries via Double Field Theory

Abstract: Postulating O(D,D) symmetry as the fundamental principle, General Relativity including Einstein field equations can be unambiguously augmented. A priori formulated in terms of O(D,D) covariant field variables, Double Field Theory and also doubled-yet-gauged sigma models not only geometrize the whole closed string massless sector which is conventionally Riemannian, but also describe various non-Riemannian geometries such as Newton-Cartan.

 

Speaker: David Berman

Title: Geometric Quantisation and duality covariance in string theory

Abstract: We will review the procedure of geometric quantisation and then apply it to string theory. This will be related to duality manifest versions of string theory such as the Tseytlin string and double field theory. Along the way we will interpret the string tension as the dimensionful parameter associated to a quantisation procedure and produce a string deformed Fourier transform.

 

Speaker: Domingo Gallegos

Title: Non-Riemannian gravity from double field theory

Abstract: Writing down equations of motion and action principles for non-Riemannian theories of gravity has been a topic of recent interest and research.  An avenue for constructing such models is through the formalism of double field theory (DFT). DFT started as a T-duality invariant formulation of supergravity but has now been shown to be able to describe Riemannian and non-Riemannian geometries in a unified manner.  In this talk I will give an overview of how we can use the tools of DFT to study the dynamics of Torsional Newton-Cartan gravity, Carrollian gravity, and String Newton-Cartan gravity.