“School of Physic”
Back to Papers HomeBack to Papers of School of Physic
| Paper IPM / Physic / 18104 |
|
| Abstract: | |
|
In this paper, we construct a fully on-shell solution space for three-dimensional Einstein's gravity in asymptotically flat spacetimes using a finite coordinate transformation. This space is parametrized by four unconstrained codimension-one functions that parameterize geometrical deformations of the null infinity cylinder, known as Darboux soft hair. The symplectic form of the theory in terms of these functions adopts a Darboux form at the corner, thereby yielding two copies of the Heisenberg algebra. Utilizing a series of field redefinitions of boundary charges, we construct various Lie algebras, including four KacâMoody algebras, four Virasoro algebras, and two centrally extended BMS3 algebras. Intriguingly, we show that the bulk theory possesses a well-defined action principle without the need for any boundary Lagrangian in the Darboux frame. Conversely, in the hydrodynamics frame, a well-defined action principle with the Dirichlet boundary condition results in two Schwarzian actions at null infinity.
Download TeX format |
|
| back to top | |
