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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 …
J Verma's user avatar
  • 3,218
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 …
J Verma's user avatar
  • 3,218
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 …
J Verma's user avatar
  • 3,218
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 …
J Verma's user avatar
  • 3,218
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 …
J Verma's user avatar
  • 3,218
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 …