TL;DR
This paper derives the complete ten-dimensional supergravity solutions with a three-form field, revealing known string solutions and identifying a new, unstable elementary type I string solution.
Contribution
It provides the full set of solutions under the standard ansatz, including a previously unrecognized unstable elementary type I string.
Findings
Revealed the complete supergravity solutions with a three-form field.
Identified an unstable elementary type I string solution.
Connected known and new string solutions within the supergravity framework.
Abstract
We find the comlete solution to ten-dimensional supergravity coupled to a three-form field strength, given the ``standard ansatz" for the fields, and show that in addition to the well-known elementary and solitonic (heterotic) string solutions, one of the possibilities is an (unstable) elementary type I string solution.
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