Kinematical Analogy for Marginal Dyon Decay
Anindya Mukherjee, Sunil Mukhi, Rahul Nigam
TL;DR
This paper introduces a kinematical analogy for the decay of 1/4-BPS dyons in string theory, using particle physics concepts to derive and analyze marginal stability curves.
Contribution
It presents a novel analogy mapping dyon charges to momenta and BPS mass to energy, enabling simplified derivations of marginal stability conditions.
Findings
Derived curves of marginal stability using the analogy.
Mapped stability curves into a momentum ellipsoid.
Proposed applications of the kinematical analogy.
Abstract
We describe a kinematical analogy for the marginal decay of 1/4-BPS dyons in 4-dimensional N=4 string compactifications. In this analogy, the electric and magnetic charges play the role of spatial momenta, the BPS mass plays the role of energy, and 1/2-BPS dyons correspond to massless particles. Using SO(12,1) "Lorentz" invariance and standard kinematical formulae in particle physics, we provide simple derivations of the curves of marginal stability. We also show how these curves map into the momentum ellipsoid, and propose some applications of this analogy.
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