
TL;DR
This paper introduces new M2 and M5 brane solutions in M-theory utilizing transverse self-dual Bianchi type IX space, unifying various known solutions and enabling reductions to ten-dimensional intersecting brane configurations.
Contribution
It presents a novel class of M-brane solutions based on Bianchi type IX space, generalizing previous solutions and providing a smooth transition between different Eguchi-Hanson based branes.
Findings
Solutions encompass known branes as special cases.
All solutions can be reduced to ten-dimensional intersecting branes.
Provides a unified framework for various self-dual transverse spaces.
Abstract
We present new M2 and M5 brane solutions in M-theory based on transverse self-dual Bianchi type IX space. All the other recently M2 and M5 branes constructed on transverse self-dual Taub-NUT, Egughi-Hanson and Atiyah-Hitchin spaces are special cases of this solution. The solution provides a smooth transition from Eguchi-Hanson type I based M branes to corresponding branes based on Eguchi-Hanson type II space. All the solutions can be reduced down to ten dimensional fully localized intersecting brane configurations.
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