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 (27)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Supergravity description of field theories on curved manifolds and a no go theorem
• On Lagrangians and Gaugings of Maximal Supergravities
• N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
• The D4-D8 Brane System and Five Dimensional Fixed Points
• Four-Dimensional SCFTs from M5-Branes
• Lectures on Gauged Supergravity and Flux Compactifications
• All AdS_7 solutions of type II supergravity
• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• Duality orbits of non-geometric fluxes
• Dyonic Membranes
• Consistent SO(6) Reduction Of Type IIB Supergravity on S^5
• 1/2-BPS states in M theory and defects in the dual CFTs
• The maximal D=7 supergravities
• Charting the landscape of N=4 flux compactifications
• AdS spacetimes from wrapped M5 branes
• Exact Embedding of N=1, D=7 Gauged Supergravity in D=11
• Type-IIA flux compactifications and N=4 gauged supergravities
• Flux Compactifications, Gauge Algebras and De Sitter
• The Domain Walls of Gauged Maximal Supergravities and their M-theory Origin
• AdS5 compactifications with punctures in massive IIA supergravity
• Linear Quivers and N=1 SCFTs from M5-branes
• D=7 SU(2) Gauged Supergravity From D=10 Supergravity
• M2-M5 blackfold funnels
• Entropy of the self-dual string soliton
• RG flows in 6D N=(1,0) SCFT from SO(4) half-maximal 7D gauged supergravity
• RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions

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• New $\mathcal{N}=(0,4)$ AdS${}_3$ near-horizons in Type IIB
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• Holographic description of SCFT${}_5$ compactifications
• AdS${}_3$ from M-branes at conical singularities
• New AdS${}_2$ supergravity duals of 4d SCFTs with defects
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• AdS${}_2$ near-horizons, defects and string dualities
• Holographic RG flows and $Ad{S}_5$ black strings from 5D half-maximal gauged supergravity
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Supersymmetric solutions from matter-coupled 7D N=2 gauged supergravity
• Supersymmetric domain walls in 7D maximal gauged supergravity
• Supersymmetric solutions of 7D maximal gauged supergravity
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries