English

Quantum SUSY Algebra of $Q$-lumps in the Massive Grassmannian Sigma Model

High Energy Physics - Theory 2009-03-27 v3

Abstract

We compute the N=2\mathcal{N}=2 SUSY algebra of the massive Grassmannian sigma model in 2+1 dimensions. We first rederive the action of the model by using the Scherk-Schwarz dimensional reduction from N=1\mathcal{N}=1 theory in 3+1 dimensions. Then, we perform the canonical quantization by using the Dirac method. We find that a particular choice of the operator ordering yields the quantum SUSY algebra of the QQ-lumps with cental extension.

Keywords

Cite

@article{arxiv.0808.1019,
  title  = {Quantum SUSY Algebra of $Q$-lumps in the Massive Grassmannian Sigma Model},
  author = {Hiroaki Nakajima and Phillial Oh and Sunyoung Shin},
  journal= {arXiv preprint arXiv:0808.1019},
  year   = {2009}
}

Comments

7 pages, references added