Wild Wall Crossing and BPS Giants
Abstract
We show that the BPS spectrum of pure SU(3) four-dimensional super Yang-Mills with N=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.
Keywords
Cite
@article{arxiv.1305.5454,
title = {Wild Wall Crossing and BPS Giants},
author = {Dmitry Galakhov and Pietro Longhi and Tom Mainiero and Gregory W. Moore and Andrew Neitzke},
journal= {arXiv preprint arXiv:1305.5454},
year = {2015}
}
Comments
105 pages, 25 figures