English

BPS Lumps and Their Intersections in ${\cal N}=2$ SUSY Nonlinear Sigma Models

High Energy Physics - Theory 2014-11-18 v2

Abstract

BPS lumps in N=2{\cal N}=2 SUSY nonlinear sigma models on hyper-\kahler manifolds in four dimensions are studied. We present new lump solutions with various kinds of topological charges. New BPS equations and a new BPS bound, expressed by the three complex structures on hyper-\kahler manifolds, are found. We show that any states satisfying these BPS equations preserve 1/8 (1/4) SUSY of N=2{\cal N}=2 SUSY nonlinear sigma models with (without) a potential term. These BPS states include non-parallel multi-(Q-)lumps.

Keywords

Cite

@article{arxiv.hep-th/0108133,
  title  = {BPS Lumps and Their Intersections in ${\cal N}=2$ SUSY Nonlinear Sigma Models},
  author = {Masashi Naganuma and Muneto Nitta and Norisuke Sakai},
  journal= {arXiv preprint arXiv:hep-th/0108133},
  year   = {2014}
}

Comments

19pages, submitted to G\@C, special issue devoted to Quantum Gravity, Unified Models and Strings to mark 100th anniversary of Tomsk state Pedagogical University, Editor-Prof.S.D. Odintsov, Signs of SUSY conditions are corrected in a few points

R2 v1 2026-07-22T15:05:58.854Z