Topological strings on elliptic fourfolds and quasi-Jacobi forms

by Guli Lockhart (CERN)

Monday 7 Dec 2020, 13:30 → 15:30 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

Abstract

In this talk we consider F-theory compactifications on elliptically-fibered Calabi-Yau fourfolds with background fluxes, giving rise to 4d N=1 supergravity theories. The (genus zero) topological string free energy on elliptic fourfolds is encoded by the partition functions of strings in the resulting 4d theory, which arise from wrapped D3 branes. The partition functions, which decompose into various flux sectors, can be expressed  in terms of a generalization of Jacobi forms known as quasi-Jacobi forms. I will present a network of holomorphic anomaly equations which maps between the partition functions in the various sectors, and will discuss how it can be understood in terms of the properties of quasi-Jacobi forms. This talk is based on work with Seung-Joo Lee, Wolfgang Lerche, and Timo Weigand.

---

Based on

2012.00766
2005.10837

Related physics papers:

1808.05958
1901.08065

Relevant mathematical literature:

0904.1026
1209.5628
1709.01481

 

---

 

Video conference link

Since we do not need the video conference system of the lecture hall for the time being, we switch back to Zoom.