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BPS objects in D=7 supergravity and their M-theory origin

2017/07/19 by Giuseppe Dibitetto, Nicolò Petri · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep12(2017)041

35 pages, 2 figures

arxiv created 2017/07/19 · arxiv updated 2018/01/17

Abstract

We study several different types of BPS flows within minimal N=1, D=7 supergravity with \textrmSU(2) gauge group and non-vanishing topological mass. After reviewing some known domain wall solutions involving only the metric and the ℝ+ scalar field, we move to considering more general flows involving a "dyonic" profile for the 3-form gauge potential. In this context, we consider flows featuring a \textrmMkw3 as well as an \textrmAdS3 slicing, write down the corresponding flow equations, and integrate them analytically to obtain many examples of asymptotically AdS7 solutions in presence of a running 3-form. Furthermore, we move to adding the possibility of non-vanishing vector fields, find the new corresponding flows and integrate them numerically. Finally, we discuss the eleven-dimensional interpretation of the aforementioned solutions as effective descriptions of M2-M5 bound states.

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