We construct a new class of exact and stable superstring solutions in which our four-dimensional spacetime is taken to be curved . We derive in this space the full one-loop partition function in the presence of non-zero < F μνaF aμν> = F 2 gauge background as well as in an < R μνρσ R μνρσ> = R2 gravitational background and we show that the non-zero curvature, Q2 = 2/( k + 2), of the spacetime provides an infrared regulator for all <[ F μνa] n[R μνρσ] m> correlation functions. The string one-loop partition function Z( F, R, Q) can be exactly computed, and it is IR and UV finite. For Q small we have thus obtained an IR regularization, consistent with spacetime supersymmetry (when F = 0, R = 0) and modular invariance. Thus, it can be used to determine, without any infrared ambiguities, the one-loop string radiative corrections on gravitational, gauge or Yukawa couplings necessary for the string superunification predictions at low energies.
Nuclear Physics B Proceedings Supplements
- Pub Date:
- April 1995
- High Energy Physics - Theory;
- High Energy Physics - Phenomenology
- LateX file, 12pp., CERN-TH.7471/94, LPTENS-94/29