TL;DR
This paper investigates the instability of non-supersymmetric five-branes in heterotic M-theory, revealing their dynamic evolution towards boundary walls and the restoration of supersymmetry.
Contribution
It provides an explicit analysis of non-BPS five-brane configurations and their time-dependent behavior in heterotic M-theory, highlighting their inherent instability.
Findings
Non-BPS five-branes are unstable in heterotic M-theory.
Unstable five-branes move towards boundary walls over finite time.
Collision of five-branes with boundaries restores supersymmetry.
Abstract
We study the warped geometry of heterotic M-Theory in five dimensions where five-branes are included in the bulk. Five-branes wrapping holomorphic curves lead to BPS configurations where the junction conditions are automatically satisfied. We consider five-branes wrapped around non-supersymmetric cycles and show that the configuration is unstable. We describe explicitly the resulting time-dependent geometry where the bulk five-branes move towards the Horova-Witten boundary walls. The five-branes collide with the boundary walls in a finite time resulting in the restoration of supersymmetry.
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