Generalizations of Lunin-Maldacena transformation on the $AdSsub5xSsup5$ background

In this paper we consider a simple generalization of the method of Lunin and Maldacena for generating new string backgrounds based on TsT-transformations. We study multi-shift $Ts\mathrm{.}\mathrm{.}\mathrm{.}sT$ transformations applied to backgrounds with at least two U(1) isometries. We prove that the string currents in any two backgrounds related by Ts…sT-transformations are equal. Applying this procedure to the $Ad{S}_5\times S^5$, we find a new background and study some properties of the semiclassical strings.