Consistent string propagation in general backgrounds requires conformal invariance. At the tree level, this requires Gell- Mann-Low β functions for the geometric couplings to vanish. We study the higher loop/hole effects on string amplitudes in a background spacetime in the context of oriented open and closed bosonic strings. We show that leading divergences can be made to cancel up to O(g0) (i.e., up to genus one) in string perturbations by a Fischler-Susskind-type mechanism. The consistent background depends on the gauge group chosen. This may lead to finite type-I superstring theories with gauge groups other than SO(32).
|Number of pages||11|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - Mar 12 1987|
Bibliographical noteFunding Information:
~rWork supported in part by the US Department of Energy under Contract No. DEAC-03-8I -ER40050. KFAS Fellow. ~l Actuallyt his requirement leads to both the vertex operator condition and the beta-function conditions, as shown by Jain et al. \[6\].
ASJC Scopus subject areas
- Nuclear and High Energy Physics