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D-brane annihilation, renormalization-group flow and non-linear $σ$-model for the ADHM construction

E. T. Akhmedov
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Abstract

In this note $D9$- and anti-$D9$-brane annihilation in type I string theory is probed by a $D1$-brane. We consider the covariant Green-Schwarz or twistor formulation of the probe theory. We expect the theory to be $κ$-invariant after the annihilation is completed. Conditions of the $κ$-invariance of the theory impose constraints on the background tachyon field. Solutions to the constraints define tachyon values which correspond to type I $D5$-branes as remnants of the annihilation. As a byproduct we get a theory which lies in the same universality class as the non-linear $σ$-model for the Atiyah-Drinfeld-Hitchin-Manin construction.

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E. T. Akhmedov. 2000-08-11. D-brane annihilation, renormalization-group flow and non-linear $σ$-model for the ADHM construction. https://doi.org/10.1016/s0550-3213(00)00624-6

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