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Intersecting M-Fluxbranes

Chiang-Mei Chen, Dmitri V. Gal'tsov, Sergei A. Sharakin

TL;DR

The paper addresses constructing intersecting M-fluxbranes in 11D supergravity by starting from a six-dimensional vacuum solution realized as a nonlinear superposition of two Melvin-type universes and then using a D=8 vacuum -- D=11 supergravity correspondence to uplift to M2 and M5 fluxbranes. It derives both single fluxbranes and a family of intersecting configurations by varying pairs of commuting Killing vectors, including combinations with waves and KK-monopoles. All solutions are non-supersymmetric, demonstrating that magnetic M2 fluxbranes and electric M5 fluxbranes can intersect according to standard p-brane rules, thereby expanding the fluxbrane landscape. The framework also suggests extensions to include ordinary charged branes and to explore brane creation in external four-forms.

Abstract

New solution to the six-dimensional vacuum Einstein's equations is constructed as a non-linear superposition of two five-dimensional solutions representing the Melvin-Gibbons-Maeda Universe and its S-dual. Then using duality between D=8 vacuum and a certain class of D=11 supergravity configurations we generate M2 and M5 fluxbranes as well as some of their intersections also including waves and KK-monopoles.

Intersecting M-Fluxbranes

TL;DR

The paper addresses constructing intersecting M-fluxbranes in 11D supergravity by starting from a six-dimensional vacuum solution realized as a nonlinear superposition of two Melvin-type universes and then using a D=8 vacuum -- D=11 supergravity correspondence to uplift to M2 and M5 fluxbranes. It derives both single fluxbranes and a family of intersecting configurations by varying pairs of commuting Killing vectors, including combinations with waves and KK-monopoles. All solutions are non-supersymmetric, demonstrating that magnetic M2 fluxbranes and electric M5 fluxbranes can intersect according to standard p-brane rules, thereby expanding the fluxbrane landscape. The framework also suggests extensions to include ordinary charged branes and to explore brane creation in external four-forms.

Abstract

New solution to the six-dimensional vacuum Einstein's equations is constructed as a non-linear superposition of two five-dimensional solutions representing the Melvin-Gibbons-Maeda Universe and its S-dual. Then using duality between D=8 vacuum and a certain class of D=11 supergravity configurations we generate M2 and M5 fluxbranes as well as some of their intersections also including waves and KK-monopoles.

Paper Structure

This paper contains 6 sections, 25 equations.