Variations on stability
Ruben Minasian, Alessandro Tomasiello

TL;DR
This paper investigates how non-abelian D-brane dynamics influence stability conditions, introducing Hitchin-like modifications and relating them to brane-antibrane systems through superconnections and deformed vortex equations.
Contribution
It presents novel stability conditions for non-abelian D-branes using Hitchin-like modifications and superconnections, extending previous frameworks.
Findings
New stability conditions for non-abelian D-branes
Reformulation of equations using superconnections
Connection to deformed vortex equations
Abstract
We explore the effects of non-abelian dynamics of D-branes on their stability and introduce Hitchin-like modifications to previously-known stability conditions. The relation to brane-antibrane systems is used in order to rewrite the equations in terms of superconnections and arrive at deformed vortex equations.
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