Heterotic Matrix String Theory and Riemann Surfaces

Abstract

We extend the results found for Matrix String Theory to Heterotic Matrix String Theory, i.e. to a 2d O(N) SYM theory with chiral (anomaly free) matter and N=(8,0) supersymmetry. We write down the instanton equations for this theory and solve them explicitly. The solutions are characterized by branched coverings of the basis cylinder, i.e. by compact Riemann surfaces with punctures. We show that in the strong coupling limit the action becomes the heterotic string action plus a free Maxwell action. Moreover the amplitude based on a Riemann surface with p punctures and h handles is proportional to g^{2-2h-p}, as expected for the heterotic string interaction theory with string coupling g_s=1/g.

17 pages, JHEP LaTeX style, sentence deleted

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Cited by in corpus (6)

• Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory
• Matrix Strings in Weakly Curved Background Fields
• On the Supersymmetric Index of the M-theory 5-brane and Little String Theory
• Matrix String Theory on pp-waves
• Two-Loop String Theory on Null Compactifications
• Computing distances on Riemann surfaces