3 problems
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Absence of non-graviton operators in the SU(2) Macdonald sector
Non-graviton absence conjecture. There are no non-graviton operators in the Macdonald (or Schur) sector of the theory.
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Beem et al.'s spectrum conjecture for the Macdonald sector of the S_2 multiplet
Beem et al.'s spectrum conjecture. The Macdonald (or Schur) sector of the multiplet fully constitutes the spectrum, with the statement generalized to gauge group .
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Convergence conjecture for reduced-measure residue sums of the full index
Reduced-measure convergence conjecture. With the reduced measure, the subsequent integrations also yield convergent residue sums with vanishing contributions from the origin.