Partition Functions for 5d and 6d Supersymmetric Field Theories

5d/6d Wilson loops from blowups

We generalize nakajima-yoshioka s blowup formula to calculate the partitionfunctions counting the spectrum of bound states to half-bps wilson loopoperators in 5d (and 6d) supersymmetric field theories.We test this idea by explicitly calculating the partition functions in various 5d/6d field theories and comparing them against known results and expected dualities.