Double Field Theory, T-Duality, and Courant Brackets
Barton Zwiebach

TL;DR
This paper provides an accessible introduction to double field theory, T-duality, and Courant brackets, aimed at graduate students with basic string theory knowledge, summarizing key concepts and mathematical structures.
Contribution
It offers a simplified, educational overview of double field theory and its relation to T-duality and Courant brackets, tailored for graduate-level understanding.
Findings
Clarifies the mathematical structure of double field theory
Explains the role of Courant brackets in string theory
Provides foundational knowledge for further research in the field
Abstract
These lecture notes are based on three lectures, each ninety minutes long, given by the author at the "International School on Strings and Fundamental Physics" which took place in Garching/Munich from July 25 to August 6, 2010. These lectures, aimed at graduate students, require only a basic knowledge of string theory and give a simple introduction to double field theory. These notes were prepared by Marco Baumgartl and Nicolas Moeller.
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