6 papers · 1 filter
Rank-one 4d SCFTs: Schur index, VOA modules, and modularity
Zhaoting Guo, Satoshi Nawata, Yiwen Pan +1
We study the representation theory of the vertex operator algebras (VOAs) associated with rank-one 4d superconformal field theories. For the S-fold…
Lagrangian Schur index and Bethe ansatz type formula
Yutong Li, Yiwen Pan
We propose a surprisingly elementary method to compute the Schur index in closed-form for general Lagrangian theories. The method is inspired by the Bethe ansatz…
Exact non-Lagrangian Schur index in closed form
Yiwen Pan, Peihe Yang
The Schur index is a powerful tool to probe the spectrum and dualities of 4d superconformal field theories (SCFTs), deeply related to 2d vertex operator algebras (V…
Modularity, 4d mirror symmetry, and VOA modules of 4d SCFTs with
Yiwen Pan, Peihe Yang
The infinite series of 4d SCFTs with central charge relation are closely related to the super Yang-Mills. In this pape…
Modularity of Schur index, modular differential equations, and high-temperature asymptotics
Yiwen Pan, Peihe Yang
In this paper we analytically explore the modularity of the flavored Schur index of 4d SCFTs. We focus on the theories of class- and $\mathcal{…
Class on
Satoshi Nawata, Yiwen Pan, Jiahao Zheng
We study 2d and theories derived from compactifying class theories on with a topological twist. We present concise expre…