Indices for superconformal field theories in 3, 5 and 6 dimensions

  title={Indices for superconformal field theories in 3, 5 and 6 dimensions},
  author={Jyotirmoy Bhattacharya and Sayantani Bhattacharyya and Shiraz Minwalla and S. Raju},
  journal={Journal of High Energy Physics},
We present a trace formula for a Witten type Index for superconformal field theories in d = 3, 5 and 6 dimensions, generalizing a similar recent construction in d = 4. We perform a detailed study of the decomposition of long representations into sums of short representations at the unitarity bound to demonstrate that our trace formula yields the most general index (i.e. quantity that is guaranteed to be protected by superconformal symmetry alone) for the corresponding superalgebras. Using the… 

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