Mathematical Physics and String Theory
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(15.06.) Modular Forms and the Road to Heterotic Vacua

Nicole Righi (King's College)

15.06.2023 at 16:15

Heterotic toroidal orbifolds represent a powerful framework to inspect the landscape due to their modular properties. In this talk, I will first review existing no-go theorems on heterotic de Sitter vacua and prove new ones for several classes of vacua, substantiating and extending previous conjectures. I will illustrate a loophole in these theorems and determine criteria that allow for metastable de Sitter vacua, also identifying the inherently stringy non-perturbative effect that could potentially realise such vacua. Then, I will extend this basic setup to higher genera and show how to construct the building blocks needed to write the scalar potential and study brand new vacua. If time permits, I will comment on the relation of our findings with the swampland program.

Arnold Sommerfeld Center
Theresienstrasse 37
Room 348
via ZOOM