KEK Theory Workshop 2021

Holographic index calculation for Argyres-Douglas and Minahan-Nemeschansky theories

8 Dec 2021, 11:40

20m

Online (Zoom)

Short talk

Speaker

Mr Shuichi Murayama (Tokyo Institute of technology)

Description

We calculate the superconformal indices of the $\yen mathcalN=2$ superconformal field theories realized on $N$ coincident D3-branes in 7-brane backgrounds with constant axiodilaton via the AdS/CFT correspondence. We include the finite-$N$ corrections as the contribution of D3-branes wrapped around 3-cycles in the internal space. We take only single-wrapping contributions into account for simplicity. We also determine the orders of the next-to-leading corrections which we do not calculate. The orders are relatively high, and we obtain many trustable terms. We give the results for $N=1,2,3$ explicitly, and find nice agreement with known results.