Journal
NUCLEAR PHYSICS B
Volume 747, Issue 3, Pages 329-353Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2006.03.037
Keywords
chiral primaries; index
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I derive a procedure to count chiral primary states in N = 1 superconformal field theories in four dimensions. The chiral primaries are counted by putting the N = 1 field theory on S-3 x R. I also define an index that counts semi-short multiplets of the superconformal theory. I construct N = 1 supersymmetric Lagrangians on S-3 x R for theories which are believed to flow to a conformal fixed point in the IR. For ungauged theories I reduce the field theory to a supersymmetric quantum mechanics, whereas for gauge theories I use chiral ring arguments. I count chiral primaries for SU(2) SYM with three flavors and its Seiberg dual. Those two results agree provided a new chiral ring relation holds.
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