Dressed Sliver solutions in Vacuum String Field Theory

TL;DR

This paper introduces dressed sliver solutions in Vacuum String Field Theory, featuring a deformation parameter that regularizes their norm and energy, and extends these solutions to various brane configurations.

Contribution

It presents a new class of solutions called dressed slivers with a deformation parameter, enabling finite norm and energy, and generalizes to different brane types.

Findings

Deformation parameter regularizes norm and energy density.

Dressed slivers form abelian star-subalgebras.

Generalization to lower-dimensional branes achieved.

Abstract

We consider a new class of solutions (dressed slivers) in Vacuum String Field Theory, which represent D25-branes. For each dressed sliver we introduce a deformation parameter and define a family of states which are characterized by new abelian star-subalgebras. We show that this deformation parameter can be used as a regulator: it allows us to define for each such solution a finite norm and energy density. Finally we show how to generalize these results to parallel coincident and to lower dimensional branes.