nLab D=3 N=2 super Yang-Mills theory

Contents

Context

Quantum Field Theory

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Super-Geometry

String theory

Contents

Idea

The special case of super Yang-Mills theory in dimension 3 and number of supersymmetries 2.

Properties

References

On the Witten index for D=3 N=2 super Yang-Mills theory:

Relation to quantum K-theory rings:

Relation to D=3 N=2 super Yang-Mills theory:

Construction in M-theory:

  • Marwan Najjar, Jiahua Tian, Yi-Nan Wang, 3d 𝒩=2\mathcal{N}=2 theories from M-theory on CY4 and IIB brane box [arXiv:2312.17082]

  • Andrea Sangiovanni, Roberto Valandro: M-theory geometric engineering for rank-0 3d 𝒩=2\mathcal{N}=2 theories [arXiv:2410.13943]

Last revised on October 25, 2024 at 08:30:41. See the history of this page for a list of all contributions to it.