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Pre-Big-Bang models in string cosmology predict a relic background ofgravitational wave radiation in the early universe. The spectrum of thisbackground shows that the energy density rises rapidly with frequency, which isan interesting target for high-frequency (i.e., kilohertz) detectors. In thispaper, we discussed the constraining power of multiple configurations ofcurrent and future gravitational wave detector (GWD) networks to the stochasticbackground predicted in string cosmology. The constraining power is jointlydetermined by the overlap reduction function and the sensitivity curves ofmultiple detectors. And we further elaborated on the possible contribution of afuture Chinese detector and a kilohertz detector to the constraining power ofdetector network for stochastic background in string cosmology. Our resultsshow that the detectability of the GWD network for the string cosmologygravitational wave background will improve considerably with the joining of aChinese detector. This is because a Chinese detector (e.g. located at Wuhan )together with KAGRA, has a better overlap reduction function than the laserinterferometer gravitational wave observatory detector pair, and therefore leadto more stringent limits for stochastic background detection. And with idealoverlap reduction function, namely, colocated detectors, a kilohertzsensitivity curve has better performance than previous detectors for stochasticbackground detection. Finally, the results are compared with the limitationsgiven by the observational constraint of the Big Bang nucleosynthesis bound.

Constraining the stochastic gravitational wave from string cosmology with current and future high frequency detectors