K-theory in cutoff version of Vacuum String Field Theory
| dc.creator | Parodi, A. | |
| dc.date | 2004-03-30 | |
| dc.date.accessioned | 2026-07-07T04:16:47Z | |
| dc.date.available | 2026-07-07T04:16:47Z | |
| dc.description | 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. | |
| dc.description | 24 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0403283 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0403283 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52496 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | K-theory in cutoff version of Vacuum String Field Theory | |
| dc.type | text |