K-theory in cutoff version of Vacuum String Field Theory
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Parodi, Adriano | en_US |
| dc.contributor.department | Mathematical Physics | en_US |
| dc.date.accessioned | 2007-11-14T10:40:49Z | en_US |
| dc.date.accessioned | 2011-09-07T20:26:39Z | |
| dc.date.available | 2007-11-14T10:40:49Z | en_US |
| dc.date.available | 2011-09-07T20:26:39Z | |
| dc.date.issued | 2007-11-14T10:40:49Z | en_US |
| dc.description.abstract | Solutions of the Vacuum String Field Theory (VSFT) equation of motion involving matter part are given by projectors, and they represent nonperturbative solutions (e.g. the sliver) interpreted as D25-branes (or lower dimensional branes), but they are not mathematically well defined as they have zero norm. In this work we will use a regularization procedure based on the cutoff version of Moyal String Field Theory (MSFT), a particular version of VSFT, and we will see that both the sliver and the butterfly states, in this regime, have a good mathematical description. In particular they are exponential functions belonging to $\Sc(\RR^{2Nd})$, the space of Schwartzian functions equipped with the *-product. Then we prove that if we classify those regularized solutions with K-theory group built out of the C*-algebra $\bar{\Sc}(\RR^{2Nd})$ we find exactly the same result obtained considering a K-theoretic classification of D25-branes in usual string theory, using the topological K-theory of vector bundles over the D25-brane worldvolume. We then comment on the meaning of this result and possible physical implications. | en_US |
| dc.format.extent | 252978 bytes | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/2417 | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | SISSA;14/2004/FM | en_US |
| dc.relation.ispartofseries | arXiv.org;hep-th/0403283v1 | en_US |
| dc.title | K-theory in cutoff version of Vacuum String Field Theory | en_US |
| dc.type | Preprint | en_US |