5d/6d Wilson loops from blowups

• DOI: 10.1007/jhep08(2021)131
• Publication Date: 2021-08-26T03:25:06Z
• Authors: Hee-Cheol Kim; Minsung Kim; Sung-Soo Kim
• Keywords: Wilson loop; Operator (biology)

A bstract We generalize Nakajima-Yoshioka’s blowup formula to calculate the partition functions counting spectrum of bound states half-BPS Wilson loop operators in 5d (and 6d) supersymmetric field theories. The function presence a operator on Ω-background is factorized when put $$ \hat{\mathbb{C}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>ℂ</mml:mi> <mml:mo>̂</mml:mo> </mml:mover> </mml:math> 2 into two under localization. This structure provides set equations for operators. explain how formulate and solve them compute test this idea by explicitly calculating various 5d/6d theories comparing against known results expected dualities.