SAIP2025

Superconformal indices in closed form

Not scheduled

1h

Solomon Mahlangu House (University of the Witwatersrand, Johannesburg)

Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics

Speaker

Kayleigh Mathieson (University of the Witwatersrand)

Description

Superconformal indices are a type of partition function that encode the protected spectrum of a superconformal field theory (SCFT). They are invariant under continuous deformations and renormalization-group flows, and provide insights into physical and mathematical equivalences between dual SCFTs and their low energy dynamics. In this talk, I will explain the background and motivation for calculating superconformal indices, present the results of our computation of well-defined closed form expressions for the full Superconformal Index, and its supersymmetric limits, namely the Hall-Littlewood, Schur and Macdonald indices in the cases of $\mathcal{N}=1$, $\mathcal{N}=2$, and $\mathcal{N}=4$ SCFTs. Lastly, I will conclude with a review of their physical interpretation of our results.