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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
3
votes
What is the motivation for a vertex algebra?
I'll take a more physical POV. Although, we don't have any mathematically concrete definition of QFT in general, but we can define 2d Conformal Field theory (this is attributed to infinite symmetries …
25
votes
A soft introduction to physics for mathematicians who don't know the first thing about physics
Let me suggest a reading plan :
The Feynman's books are a pleasure to read and provide great insights into basic physics.
For classical mechanics, "Mathematical methods of Classical mechanics" by V …
28
votes
2
answers
6k
views
Wall Crossing in Physics and Mathematics
This question is motivated by the current interest of Mathematics and Physics community in Wall Crossing. My questions are :
What is wall crossing in Physics, what are the reasons for current intere …
4
votes
1
answer
1k
views
vector multiplet/hypermultiplet moduli space of String Theory
What is vector multiplet and hypermultiplet moduli space associated to IIA/B string theory (or in general to a N = 2 Supersymmetric theory) ?
The vector multiplet moduli space is special Kahler while …
14
votes
1
answer
3k
views
Witten's topological twisting
I am reading the Witten's topological twisting for $N = 2$ Superconformal Field Theory(SCFT) http://arxiv.org/abs/hep-th/9112056
In this paper Witten constructed 2 TQFTs i.e. A-model and B-model from …
2
votes
1
answer
691
views
Are there non-supersymmetric and/or non-Calabi-Yau topological sigma models?
I am reading some aspects of Mirror Symmetry and in mirror symmetry the $N=2$ SCFT on a Calabi Yau Manifold can be divided into two sectors each of which is a topological sigma model, A-Model and B-Mo …
8
votes
0
answers
1k
views
triangulated/derived categories in Physics and algebraic geometry
Why do physicists care about the triangulated/derived categories?
I mean what are the problems we want to approach using the machinery of triangulated/derived categories. e.g. in homological mirror sy …