Geometry Meets Supersymmetry by Andrei Smilga

Geometry Meets Supersymmetry by Andrei Smilga

This book is devoted to description of different geometric structures, including the classical structures of differential geometry like de Rham complex, Dolbeaux complex and Dirac complex and also some structures that have not attracted yet an attention of mathematicians in the language of supersymmetric quantum mechanics. The book is addressed both to physicists and mathematicians.The first part is addressed mainly to physicists and describes basic properties of smooth manifolds of different type: real, complex, Kaehler, hyperkaehler and HKT. The second part is addressed to mathematicians and describes basic properties of classical and quantum mechanical systems, including supersymmetric systems with Grassmann dynamic variables. The third part is called Synthesis: we show how the physical methods allow one to describe in a simple way and understand many nontrivial geometric facts. For example, the famous Atiyah-Singer theorem admits a rather natural and simple supersymmetric interpretation.This book is an updated and expanded version of the book Differential geometry through supersymmetric glasses published in 2020 by World Scientific. New material on hyperkaehler geometry and its supersymmetric description and on the gauge fields in CPn manifolds is added.

SKU	Unavailable
ISBN 13	9789819817665
ISBN 10	9819817668
Title	Geometry Meets Supersymmetry
Author	Andrei Smilga
Condition	Unavailable
Binding Type	Hardback
Publisher	World Scientific Publishing Co Pte Ltd
Year published	2026-03-13
Number of pages	400
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.