|DATE||January 21 (Mon), 2019|
|TITLE||Computing the elliptic genus of higher rank E strings from genus 0 GW invariants|
|ABSTRACT|| In this talk, I will discuss the elliptic genera of BPS strings
in 6d SCFTs. As we shall see, they are determined by finite unknown
coefficients thanks to their modular property. Possible ways to fix them
could be imposing suitable constraints or supplying initial conditions.
Previously, authors in arXiv: 1701.00764 and arXiv:1712.07017 employed
so-called vanishing conditions as constraints. In our work, we analyse the
pole structure of the elliptic genera and search for minimal data to
determine them. The main goal of this talk is to show that the elliptic
genus of higher rank E-strings can be computed based solely on the genus 0
Gromov-Witten invariants of the corresponding elliptic geometry. The talk
is based on arXiv: 1810.01280.