English

Matrix String Theory, 2D SYM Instantons and affine Toda systems

High Energy Physics - Theory 2009-10-31 v3

Abstract

Extending a recent result of S.B. Giddings, F. Hacquebord and H. Verlinde, we show that in the U(N) SYM Matrix theory there exist classical BPS instantons which interpolate between different closed string configurations via joining/splitting interactions similar to those of string field theory. We construct them starting from branched coverings of Riemann surfaces. For the class of them which we analyze in detail the construction can be made explicit in terms U(N) affine Toda field theories.

Keywords

Cite

@article{arxiv.hep-th/9805071,
  title  = {Matrix String Theory, 2D SYM Instantons and affine Toda systems},
  author = {G. Bonelli and L. Bonora and F. Nesti},
  journal= {arXiv preprint arXiv:hep-th/9805071},
  year   = {2009}
}

Comments

12 pages, 1 eps figure, JHEP.cls LaTeX2e class file; sign corrected, ref. and acknowledgements updated

R2 v1 2026-07-22T16:10:24.582Z