Counting BPS operators in gauge theories: quivers, syzygies and plethystics

@article{Benvenuti2007CountingBO,
  title={Counting BPS operators in gauge theories: quivers, syzygies and plethystics},
  author={Sergio Benvenuti and B. Feng and A. Hanany and Y. He},
  journal={Journal of High Energy Physics},
  year={2007},
  volume={2007},
  pages={050-050}
}
  • Sergio Benvenuti, B. Feng, +1 author Y. He
  • Published 2007
  • Physics, Mathematics
  • Journal of High Energy Physics
  • We develop a systematic and efficient method of counting single-trace and multi-trace BPS operators with two supercharges, for world-volume gauge theories of $N$ D-brane probes for both $N \to \infty$ and finite $N$. The techniques are applicable to generic singularities, orbifold, toric, non-toric, complete intersections, et cetera, even to geometries whose precise field theory duals are not yet known. The so-called ``Plethystic Exponential'' provides a simple bridge between (1) the defining… CONTINUE READING
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