One Loop Corrections to Coupling Constants in IR-regulated String Theory

Abstract

Exact Superstring solutions are constructed moving in 4-D space-time with positive curvature and non-trivial dilaton and antisymmetric tensor fields. The full spectrum of string excitations is derived as a function of moduli fields $T^i$ and the scale ${\mu }^2=1/(k+2)$ which induced by the non-zero background fields. The spectrum of string excitations has a non-zero mass gap ${\mu }^2$ and in the weak curvature limit ($\mu$ small) ${\mu }^2$ plays the role of a well defined infrared regulator, consistent with modular invariance, gauge invariance, supersymmetry and chirality. The effects of a covariantly constant chomo-magnetic field $B$ as well as additional curvature can be derived exactly up to one string-loop level. Thus, the one-loop corrections to all couplings (gravitational, gauge and Yukawas) are unambiguously computed and are finite both in the Ultra-Violet and the Infra-Red regime. These corrections are necessary for quantitative string superunification predictions at low energies. Similar calculations are done in the effective field theory. The one-loop corrections to the couplings are also found to satisfy Infrared Flow Equations.

Based on a talk given by the first author at the Trieste Spring Workshop, 1995. Contains some new results

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• N=(4,2) Chiral Supergravity in Six Dimensions and Solvable Lie Algebras
• String duality, automorphic forms, and generalized Kac-Moody algebras
• On Gauge couplings, "Large" extra-dimensions and the limit alpha'->0 of the String
• String corrections to gauge couplings from a field theory approach