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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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29 pages, no figure, revtex4, v2: fixed a calculation error, changed title, v3: fixed grammatical errors, references added

Scientific paper

10.1103/PhysRevD.72.106008

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.

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