Wild wall crossing and BPS giants

作者：Galakhov Dmitry^*; Longhi Pietro; Mainiero Tom; Moore Gregory W; Neitzke Andrew

来源：The Journal of High Energy Physics, 2013, 2013(11): 046.

DOI：10.1007/JHEP11(2013)046

• Supersymmetric gauge theory
• Extended Supersymmetry
• Solitons Monopoles and Instantons
• M-Theory

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.

• 出版日期2013-11-6