Tachyon Condensation and Graviton Production in Matrix Theory
Abstract
We study a membrane -- anti-membrane system in Matrix theory. It in fact exhibits the tachyon instability. By suitably representing this configuration, we obtain a (2+1)-dimensional U(2) gauge theory with a 't Hooft's twisted boundary condition. We identify the tachyon field with a certain off-diagonal element of the gauge fields in this model. Taking into account the boundary conditions carefully, we can find vortex solutions which saturate the Bogomol'nyi-type bound and manifest the tachyon condensation. We show that they can be interpreted as gravitons in Matrix theory.
Keywords
Cite
@article{arxiv.hep-th/9902158,
title = {Tachyon Condensation and Graviton Production in Matrix Theory},
author = {H. Awata and S. Hirano and Y. Hyakutake},
journal= {arXiv preprint arXiv:hep-th/9902158},
year = {2007}
}
Comments
14 pages, LaTeX, Considerable improvements have been made in the arguments on the effective theory of the membrane - antimembrane system. Accordingly the statement on the mechanism of the tachyon condensation and the graviton production has been refined. Abstract and References also corrected