Truncations driven by constraints: consistency and conditions for correct upliftings

Abstract

We discuss the mechanism of truncations driven by the imposition of constraints. We show how the consistency of such truncations is controlled, and give general theorems that establish conditions for the correct uplifting of solutions. We show in some particular examples how one can get correct upliftings from 7d supergravities to 10d type IIB supergravity, even in cases when the truncation is not initially consistent by its own.

Latex, 23 pages

References in corpus (3)

• Consistent Group and Coset Reductions of the Bosonic String
• N=1 and N=2 Super Yang-Mills theories from wrapped branes
• Consistent and inconsistent truncations. Some results and the issue of the correct uplifting of solutions

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