On the N=2 superconformal index and eigenfunctions of the elliptic RS model

Abstract

We define an infinite sequence of superconformal indices, I_n, generalizing the Schur index for N=2 theories. For theories of class S we then suggest a recursive technique to completely determine I_n. The information encoded in the sequence of indices is equivalent to the N=2 superconformal index depending on the maximal set of fugacities. Mathematically, the procedure suggested in this note provides a perturbative algorithm for computing a set of eigenfunctions of the elliptic Ruijsenaars-Schneider model.

21 pages, harvmac. v2: added references

References in corpus (2)

• S-duality in N=2 supersymmetric gauge theories
• On Three Dimensional Quiver Gauge Theories and Integrability

Cited by in corpus (10)

• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Down the rabbit hole with theories of class S
• A review of the T_N theory and its cousins
• An elliptic Virasoro symmetry in 6d
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• $q$-Virasoro modular double and 3d partition functions
• A brief review of the 2d/4d correspondences
• Elliptic hypergeometric functions associated with root systems
• Source identities and kernel functions for deformed (quantum) Ruijsenaars models
• Ground state wavefunctions of elliptic relativistic integrable Hamiltonians