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- W2085485718 abstract "We consider one-loop corrections 4Δa to inverse gauge couplings ga−2 in supersymmetric vacua of the heterotic string. The form of these corrections plays an important role in scenarios for dynamical supersymmetry breaking in string theory. Specifically, we calculate the exact functional dependence of Δa(U) on any untwisted modulus field U of an orbifold vacuum; it has the universal form Δa(U, U)=Aa·log(|η(U)|4·lm U)+const., where Aa are easily computable rational constants. The dependence is nontrivial (Aa≠0) only if some sectors of the orbifold Hilbert space have precisely N=2 space-time supersymmetry. The expression for Δa has an expected invariance under modular transformations of U, since these are symmetries of the orbifold vacuum state. However, Δa is not the real part of a holomorphic function, in seeming contradiction with the existence of a supersymmetric effective lagrangian. The apparent paradox is an infrared problem, and can occur not just in string theory but in renormalizable supersymmetric field theories as well. We show how the paradox is resolved in the field theory case and argue that the same resolution applies also to the string theory case." @default.
- W2085485718 created "2016-06-24" @default.
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- W2085485718 date "1991-05-01" @default.
- W2085485718 modified "2023-10-05" @default.
- W2085485718 title "Moduli dependence of string loop corrections to gauge coupling constants" @default.
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- W2085485718 doi "https://doi.org/10.1016/0550-3213(91)90490-o" @default.
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