The invariant action for solitonic 5-branes

TL;DR

This paper develops a complete T-duality covariant effective action for solitonic 5-branes, incorporating DBI and WZ terms, including previously missing R-R contributions, unifying known results.

Contribution

It provides the first full T-duality covariant effective action for solitonic 5-branes, including all relevant R-R terms, extending previous partial results.

Findings

The action is fully covariant under T-duality.

Includes previously omitted R-R terms in the WZ action.

Reproduces known results via S-duality with correct charge choice.

Abstract

We construct the full effective action including DBI and WZ terms for solitonic 5-branes covariant under T-duality. The result is a completion of results known in the literature to a full T-duality covariant expression. The covariant WZ action includes previously omitted R-R terms. The obtained full covariant effective action reproduces the one obtained by S-duality from the D5-brane upon the correct choice of the covariant charge.