Lectures on supergeometry
G. Sardanashvily
TL;DR
This paper provides a comprehensive overview of supergeometry, covering modules over graded rings, graded manifolds, and supermanifolds, essential for understanding modern supersymmetric and quantum field theories.
Contribution
It offers a summarized, accessible presentation of supergeometry concepts relevant to both mathematicians and physicists working on supersymmetry and related fields.
Findings
Clarifies the structure of supermanifolds and graded manifolds.
Connects supergeometry to applications in SUSY, BRST, and supergravity.
Provides foundational knowledge for advanced theoretical models.
Abstract
Elements of supergeometry are an ingredient in many contemporary classical and quantum field models involving odd fields. For instance, this is the case of SUSY field theory, BRST theory, supergravity. Addressing to theoreticians, these Lectures aim to summarize the relevant material on supergeometry of modules over graded commutative rings, graded manifolds and supermanifolds.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Black Holes and Theoretical Physics