2025/2026

Supersymmetry for Mathematicians

Type: Optional course (faculty)

Delivered by: Faculty of Mathematics

When: 3, 4 module

Open to: students of all HSE University campuses

Instructors: Filipp Uvarov

Language: English

Contact hours: 36

Course Syllabus

Abstract

Supersymmetry is a concept in theoretical physics, in which there is a one-to-one correspondence between bosons and fermions. Mathematics that describes bosons in one way or another is related to symmetric algebra, while fermions are related to antisymmetric (external) algebra. The development of supersymmetry has led to the emergence of new and interesting mathematics that combines these constructions. For example, super Schur polynomials naturally arise, forming a basis for polynomials that are symmetric in some variables and antisymmetric in others. In this course, we will become familiar with the main objects of "supermathematics", starting with supergeometry and ending with Lie superalgebras and their representations.