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The journal of high energy physics, 2013-11, Vol.2013 (11), p.1-101, Article 46
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2013
Quelle
Springer Journals
Beschreibungen/Notizen
A
bstract
We show that the BPS spectrum of pure SU(3) four-dimensional super Yang-Mills with
= 2 supersymmetry exhibits a surprising phenomenon: there are regions of the Coulomb branch where the growth of the BPS degeneracies with the charge is
exponential
. We show this using spectral networks and independently using wall-crossing formulae and quiver methods. The computations using spectral networks provide a very nontrivial example of how these networks determine the four-dimensional BPS spectrum. We comment on some physical implications of the wild spectrum: for example, exponentially many field-theoretic BPS states with large charge are gigantic. Finally, we exhibit some surprising, thus far unexplained, regularities of the BPS spectrum.