Spherical membranes in Matrix theory
| dc.creator | Kabat, Daniel | |
| dc.creator | Taylor, Washington | |
| dc.date | 1997-11-11 | |
| dc.date | 1998-01-31 | |
| dc.date.accessioned | 2026-07-07T11:36:08Z | |
| dc.date.available | 2026-07-07T11:36:08Z | |
| dc.description | We consider membranes of spherical topology in uncompactified Matrix theory. In general for large membranes Matrix theory reproduces the classical membrane dynamics up to 1/N corrections; for certain simple membrane configurations, the equations of motion agree exactly at finite N. We derive a general formula for the one-loop Matrix potential between two finite-sized objects at large separations. Applied to a graviton interacting with a round spherical membrane, we show that the Matrix potential agrees with the naive supergravity potential for large N, but differs at subleading orders in N. The result is quite general: we prove a pair of theorems showing that for large N, after removing the effects of gravitational radiation, the one-loop potential between classical Matrix configurations agrees with the long-distance potential expected from supergravity. As a spherical membrane shrinks, it eventually becomes a black hole. This provides a natural framework to study Schwarzschild black holes in Matrix theory. | |
| dc.description | 21 pages LaTeX. V2: references added; V3: reference added, minor corrections | |
| dc.identifier | https://arxiv.org/abs/hep-th/9711078 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9711078 | |
| dc.identifier | Adv.Theor.Math.Phys.2:181-206,1998 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198819 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Spherical membranes in Matrix theory | |
| dc.type | text |