Generalizations of Lunin-Maldacena transformation on the $AdS sub 5 x S sup 5$ background

TL;DR

This paper generalizes the Lunin-Maldacena TsT-transformation method to generate new string backgrounds with multiple U(1) isometries, proving current equivalence and analyzing semiclassical string properties.

Contribution

It introduces a multi-shift Ts...sT transformation framework and demonstrates its application to the $AdS_5 imes S^5$ background, revealing new solutions and properties.

Findings

String currents are invariant under the generalized Ts...sT transformations.

A new string background related to $AdS_5 imes S^5$ is constructed.

Semiclassical string analysis reveals distinctive properties of the new background.

Abstract

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 $Ts... sT$ 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 $AdS_{5}\times S^{5}$, we find a new background and study some properties of the semiclassical strings.