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

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.

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

References in corpus (5)

• Matrix String Theory
• Strings from Matrices
• Gauge fields and interactions in matrix string theory
• A Matrix String Interpretation of the Large N Loop Equation
• On the string interpretation of M(atrix) theory

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