Year: 2024
Type: article
Abstract: A bstract We study the superconformal index of 3d $$ \mathcal{N} $$ N = 2 superconformal field theories on S 1 × ω S 2 in the Cardy-like limit where the radius of the S 1 is much smaller than that of the S 2 . We show that the first two leading terms in this Cardy-like expansion are dictated by the Bethe Ansatz formulation of the topologically twisted index of the same theory. We apply this relation to 3d $$ \mathcal{N} $$ N = 2 holographic superconformal field theories describing the low-energy dynamics of N M2-branes and derive closed form expressions, valid to all orders in the 1 /N expansion, for the two leading terms in the Cardy-like expansion of the superconformal index. We also discuss the implications of our results for the entropy of supersymmetric Kerr-Newman black holes in AdS 4 and the four-derivative corrections to 4d gauged supergravity.
Source: Journal of High Energy Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4400968440