Supersymmetry and Positive Energy in Classical and Quantum Two-Dimensional Dilaton Gravity
| dc.creator | Park, Youngchul | |
| dc.creator | Strominger, Andrew | |
| dc.date | 1992-10-02 | |
| dc.date.accessioned | 2026-07-07T11:35:52Z | |
| dc.date.available | 2026-07-07T11:35:52Z | |
| dc.description | An $N = 1$ supersymmetric version of two dimensional dilaton gravity coupled to matter is considered. It is shown that the linear dilaton vacuum spontaneously breaks half the supersymmetries, leaving broken a linear combination of left and right supersymmetries which squares to time translations. Supersymmetry suggests a spinorial expression for the ADM energy $M$, as found by Witten in four-dimensional general relativity. Using this expression it is proven that ${M}$ is non-negative for smooth initial data asymptotic (in both directions) to the linear dilaton vacuum, provided that the (not necessarily supersymmetric) matter stress tensor obeys the dominant energy condition. A {\it quantum} positive energy theorem is also proven for the semiclassical large-$N$ equations, despite the indefiniteness of the quantum stress tensor. For black hole spacetimes, it is shown that $M$ is bounded from below by $e^{- 2 ϕ_H}$, where $ϕ_H$ is the value of the dilaton at the apparent horizon, provided only that the stress tensor is positive outside the apparent horizon. This is the two-dimensional analogue of an unproven conjecture due to Penrose. Finally, supersymmetry is used to prove positive energy theorems for a large class of generalizations of dilaton gravity which arise in consideration of the quantum theory. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9210017 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9210017 | |
| dc.identifier | Phys.Rev.D47:1569-1575,1993 | |
| dc.identifier | doi:10.1103/PhysRevD.47.1569 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198739 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Supersymmetry and Positive Energy in Classical and Quantum Two-Dimensional Dilaton Gravity | |
| dc.type | text |