Counting chiral primaries in N = 1, d=4 superconformal field theories

Oct, 2005
32 pages
Published in:
  • Nucl.Phys.B 747 (2006) 329-353
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Abstract:
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.
  • 11.25.Tq
  • 11.15.Kc
  • 11.25.Hf
  • Chiral primaries
  • index
  • Index
  • field theory: conformal
  • supersymmetry
  • quantum mechanics
  • gauge field theory: SU(2)
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