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Published July 13, 2012 | Submitted
Journal Article Open

Counting exceptional instantons

Abstract

We show how to obtain the instanton partition function of N = 2 SYM with exceptional gauge group EFG using blow-up recursion relations derived by Nakajima and Yoshioka. We compute the two instanton contribution and match it with the recent proposal for the superconformal index of rank 2 SCFTs with E_(6,7) global symmetry.

Additional Information

© 2012 SISSA. Published for SISSA by Springer. We would like to thank Abhijit Gadde, Amihay Hanany, Noppadol Mekareeya, and Yuji Tachikawa for discussions and correspondence, and Davide Gaiotto and Shlomo Razamat for sharing a preliminary draft of [30] with us. We particularly thank Yuji Tachikawa for introducing to us the blow-up formula of Nakajima-Yoshioka. JS thanks the hospitality of Korea Institute for Advanced Study for hospitality. The work of CAK is supported by a John A. McCone Postdoctoral Fellowship. This work is supported in part by the DOE grant DE-FG03-92-ER40701.

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August 22, 2023
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October 19, 2023