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

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

1998-05-12

arxiv.org/abs/hep-th/9805071v3

Phys.Lett. B435 (1998) 303-311

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(98)00812-0

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.

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