Tachyon Condensation on Fuzzy Sphere and Noncommutative Solitons
Abstract
We study a brane-antibrane system and a non-BPS D-brane in SU(2) WZW model. We first discuss the tachyon condensation using the vertex operator formalism and find the generation of codimension two D-branes after the condensation. Our result is consistent with the recent interpretation that a D2-brane is a bound state of D0-branes. Then we investigate the world volume effective theory on a non-BPS D-brane. It becomes a field theory on the ``fuzzy sphere'' when the level is sent to infinity. The most interesting feature is that there exist the noncommutative tachyonic solitons and we can identify them with D0-branes. We also discuss the brane-antibrane system from the world volume point of view and comment on the relation to the noncommutative version of the index theorem.
Keywords
Cite
@article{arxiv.hep-th/0008023,
title = {Tachyon Condensation on Fuzzy Sphere and Noncommutative Solitons},
author = {Yasuaki Hikida and Masatoshi Nozaki and Tadashi Takayanagi},
journal= {arXiv preprint arXiv:hep-th/0008023},
year = {2009}
}
Comments
16 pages,2 figures,minor changes,references added,to appear in Nucl.Phys.B