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The lift of type IIA supergravity with D6 sources: M-theory with torsion

2009/08/31 by Jerome Gaillard, Jérôme Gaillard, Johannes Schmude
Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Dimensional reduction #Dual polyhedron #Equations of motion #Field equation #Formalism (music) #Gauge theory #Lift (data mining) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Supergravity #Torsion (gastropod) #hep-th

paper · pdf · doi:10.1007/jhep02(2010)032

published as JHEP 1002:032,2010 · 25 pages plus appendices - As published in JHEP

openalex publication_date 2010/02/01 · arxiv created 2010/02/16 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

This paper is concerned with an extension of the well known Kaluza-Klein mechanism. As the standard ansatz for Kaluza-Klein reduction implies the existence of a gauge potential associated with the KK field strength, it follows immediately that this field strength satisfies its Bianchi identity. Hence, the standard KK formalism breaks down in the presence of a violated Bianchi identity. This occurs for example in the context of D6 sources. We will investigate and partially solve this problem in the context of the type IIA/M-theory duality. Our discussion is motivated by the construction of gauge/string duals with backreacting flavor branes using D6-branes, which appear in M-theory as KK-monopoles. We are able to derive source-modified equations of motion for the eleven-dimensional theory, and are subsequently able to obtain the source-modified type IIA equations by direct dimensional reduction.

Citations