Old Fashioned Duality for D-brane and String

TL;DR

This paper explores old-fashioned duality transformations in string theory, transforming bosonic and superstring theories into higher-dimensional brane theories, revealing potential self-duality features in Type IIB superstrings.

Contribution

It applies classical duality methods to string theories, developing a string field theoretical framework and examining dualities in bosonic and superstring contexts.

Findings

Bosonic string theory is dual transformed into a 6-brane theory with a 7-form field.

The dual transformation of NS-NS fields may correspond to bosonization of R-R fields in superstrings.

Self-duality of Type IIB superstring could emerge from dual correspondence between NS-NS and R-R fields.

Abstract

Old fashioned duality used to derive the closed string field theory for magnetic vortex from the gauge theory with Higgs scalar, is applied to the string theories. The bosonic sring theory coupled to the Kalb-Ramond 2-form field is dually transformed to the 6-brane theory coupled to the 7-form field. The old fashioned dual transformation is also examined for the Type IIA and IIB superstrings. For this study, the string field theoretical treatment of the bosonic and fermionic strings is developped based on the reparametrization invariant formulation of strings by Marshall and Ramond. In order for the self-duality of the Type IIB superstring to appear, the following dual correspondence may happen: the dual transformation of the NS-NS field functional is the bosonization of the R-R one.