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

Abstract

We study several different types of BPS flows within minimal $\mathcal{N}=1$, $D=7$ supergravity with $\text{SU}(2)$ gauge group and non-vanishing topological mass. After reviewing some known domain wall solutions involving only the metric and the ${\mathbb{R}}^{+}$ 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 ${\text{Mkw}}_3$ as well as an ${\text{AdS}}_3$ slicing, write down the corresponding flow equations, and integrate them analytically to obtain many examples of asymptotically ${\mathrm{AdS}}_7$ 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.

35 pages, 2 figures

References in corpus (8)

• Four-Dimensional SCFTs from M5-Branes
• Lectures on Gauged Supergravity and Flux Compactifications
• Duality orbits of non-geometric fluxes
• 1/2-BPS states in M theory and defects in the dual CFTs
• Charting the landscape of N=4 flux compactifications
• AdS spacetimes from wrapped M5 branes
• Type-IIA flux compactifications and N=4 gauged supergravities
• RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions