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- Thread starter wyattbohr
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In summary, for learning about string theory and quantum mechanics, I would recommend reading books about quantum field theory and general relativity, and also studying functional analysis, Lie theory, and a bit of abstract algebra of graded Lie algebras.

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I would say: functional analysis, Lie theory and a bit abstract algebra of graded Lie algebras.wyattbohr said:

From a mathematical point of view, I have a book about "Supermanifolds and Virasoro Algebras", unfortunately I don't know whether an English version exists.

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This is in my experience the best book to look for; it also contains some topics on QM. But the basis for doing string theory is Quantum Field Theory and General Relativity (and all the accompanying math). If you don't master these topics, string theory is way out of your league.

To get an idea, the most approachable book on string theory is Zwiebach. But also be aware that it's very thorough about a lot of stuff which is skipped by more advanced texts. Topics like conformal field theory or supersymmetry are not or barely touched.

String Theory/SuperString is a theoretical framework in physics that attempts to reconcile general relativity and quantum mechanics by describing the fundamental building blocks of the universe as tiny, vibrating strings.

Mathematics is crucial in understanding String Theory/SuperString as it provides the necessary tools and language to describe the complex interactions and behavior of these tiny strings. It involves advanced mathematical concepts such as differential geometry, topology, and algebraic geometry.

Some of the main mathematical concepts used in String Theory/SuperString include differential equations, group theory, and complex analysis. These concepts help to describe the properties and behavior of strings and their interactions.

String Theory/SuperString has connections to various areas of mathematics such as topology, algebraic geometry, and number theory. It also incorporates concepts from other areas of physics, such as quantum mechanics and general relativity.

One of the main challenges in using mathematics to understand String Theory/SuperString is that it involves highly complex and abstract mathematical concepts, making it difficult for non-mathematicians to grasp. Additionally, there is still much research and development needed to fully understand and prove the validity of String Theory/SuperString.

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