Reply to the "Comment on 'Phase diagram of an impurity in the spin-1/2 chain: two channel Kondo effect versus Curie law'"
Sebastian Eggert, David P. Gustafsson, and Stefan Rommer

TL;DR
This paper defends the original phase diagram of a spin-1/2 chain impurity system against criticism, confirming its completeness and correctness without introducing new fixed points.
Contribution
The authors clarify and reaffirm the validity of their original phase diagram, countering claims of incompleteness and the existence of a new fixed point.
Findings
The criticized fixed point is not valid.
The original phase diagram is correct and complete.
No new fixed points are necessary.
Abstract
In a comment by A.A. Zvyagin the phase diagram in our Letter [Phys. Rev. Lett. 86, 516 (2001)] was critisized of being incomplete and a new fixed point was suggested. We show that this point is in fact not a fixed point and that the phase diagram is correct as presented.
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