Sigma Model BPS Lumps on Torus
High Energy Physics - Theory
2015-06-05 v2
Abstract
We study doubly periodic Bogomol'nyi-Prasad-Sommerfield (BPS) lumps in supersymmetric CP^{N-1} non-linear sigma models on a torus T^2. Following the philosophy of the Harrington-Shepard construction of calorons in Yang-Mills theory, we obtain the n-lump solutions on compact spaces by suitably arranging the n-lumps on R^2 at equal intervals. We examine the modular invariance of the solutions and find that there are no modular invariant solutions for n=1,2 in this construction.
Cite
@article{arxiv.1205.5940,
title = {Sigma Model BPS Lumps on Torus},
author = {Atsushi Nakamula and Shin Sasaki},
journal= {arXiv preprint arXiv:1205.5940},
year = {2015}
}
Comments
15 pages, 3 figures, published version