BABY UNIVERSES AND ENERGY (NON)CONSERVATION IN (1-DIMENSIONAL DILATONGRAVITY(1))

We consider branching of baby universes off a parent one in (1+1)-dime nsional dilaton gravity with 24 types of conformal matter fields. This theory is equivalent to string theory in a certain background in (D = 26)-dimensional target space, so this process may be also viewed as t he emission of a light string state by a heavy string. We find that ba re energy is not conserved in 1+1 dimensions due to the emission of ba by universes, and that the probability of this process is finite even for local distribution of matter in the parent universe. We present a scenario suggesting that the nonconservation of bare energy may be con sistent with the locality of the baby universe emission process in 1+1 dimensions and the existence of the long-ranged dilaton field whose s ource is bare energy. This scenario involves the generation of longitu dinal gravitational waves in the parent universe.