School of Physics: HEPCo Weekly Seminar Series


Speaker

Hamed Adami


Affiliation

Fudan University
Shanghai institute for mathematics and interdisciplinary sciences


Title of talk

Gravitational Stress Tensor and Current at Null Infinity in Three Dimensions
تانسور تنش و جریان در بینهایت نال در سه بعد

Date and time

Tuesday, February 25th, 2025 (Esfand 7th, 1403), 2:00 pm (Tehran zone)


Link

https://www.skyroom.online/ch/schoolofphysics/highenergyseminar


Abstract

We develop the framework that reveals the intrinsic conserved stress tensor and current associated with the null infinity of a three-dimensional (3d) asymptotically flat spacetime. These are, respectively, canonical conjugates of degenerate metric and Ehresmann connection of the boundary Carrollian geometry. Their conservation reproduces the Bondi-mass and angular momentum conservation equations if the asymptotic boundary is endowed with a torsional affine connection that we specify. Our analysis and results shed further light on the 3d flat holography; the stress tensor and current give rise to an asymptotically flat fluid/gravity correspondence. The requirement of a well-defined 3d action principle yields Schwarzian action at null infinity governing the dynamics induced by reparametrizations over the celestial circle, in accord with the codimension $2$ holography of 3d flat spacetimes.