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Basic Notions: Ron Donagi (UPenn) - What is a super Riemann surface | Einstein Institute of Mathematics

Basic Notions: Ron Donagi (UPenn) - What is a super Riemann surface

Date: 
Thu, 26/05/202216:00-17:15
Location: 
Ross 70
 live broadcast (as well as seeing the talk in retrospect) can be obtained at   https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=932c7564-c744...
 
The prefix ‘super’ is used in physics to denote things that are allowed to anticommute. In math we talk about (Z/2)-graded-commutative objects, such as the ring of differential forms: odd objects anticommute while even ones are central. A super manifold is a manifold equipped with a sheaf of ‘functions’ that is (Z/2)-graded-commutative. A supersymmetric one has, additionally, some odd (super)symmetries. The simplest example is a super Riemann surface, which is the super analogue of a Riemann surface. String theory asks us to average certain quantities over the moduli space of all super Riemann surfaces with specified insertions. That moduli space, and the measure on it, is a very elusive object.