Heterotic versus Type I

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, Latex, one figure, uses espcrc2.sty, Talk at STRINGS'97 (Amsterdam, June 16-21) and HEP-97 (Jerusalem, August 19-26).

Scientific paper

10.1016/S0920-5632(98)00169-8

I compare the calculations of special $F^4$ and $R^4$ terms in the (toroidally-compactified) heterotic and type-I effective actions. Besides checking duality, this elucidates the quantitative rules of D-brane calculus. I explain in particular (a) why D-branes do not run in loops, and (b) how their instanton contributions arise from orbifold fixed points of their moduli space. The instanton sum has a simple representation as a sum of the elliptic genera of matrix models.

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