Curved Four Dimensional Space Time as Infrared Regulator in Superstring Theories
Abstract
We construct a new class of exact and stable superstring solutions in which our fourdimensional spacetime is taken to be curved . We derive in this space the full oneloop partition function in the presence of nonzero < F _{μν}^{a}F _{a}^{μν}> = F ^{2} gauge background as well as in an < R _{μνρσ} R ^{μνρσ}> = R^{2} gravitational background and we show that the nonzero curvature, Q^{2} = 2/( k + 2), of the spacetime provides an infrared regulator for all <[ F _{μν}^{a}] ^{n}[R _{μνρσ}] ^{m}> correlation functions. The string oneloop 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 oneloop string radiative corrections on gravitational, gauge or Yukawa couplings necessary for the string superunification predictions at low energies.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 April 1995
 DOI:
 10.1016/09205632(95)00441B
 arXiv:
 arXiv:hepth/9410212
 Bibcode:
 1995NuPhS..41..331K
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 LateX file, 12pp., CERNTH.7471/94, LPTENS94/29