Generalizations of Lunin-Maldacena transformation on the $AdSsub5xSsup5$ 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 $Ad{S}_5\times S^5$, we find a new background and study some properties of the semiclassical strings.

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

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Cited by in corpus (18)

• Green-Schwarz Strings in TsT-transformed backgrounds
• Integrable twists in AdS/CFT
• Stability of string configurations dual to quarkonium states in AdS/CFT
• Giants On Deformed Backgrounds
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• On the all-order perturbative finiteness of the deformed N=4 SYM theory
• TsT, black holes, and $T\bar{T}+J\bar{T}+T\bar{J}$
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Pure Spinor Strings in TsT Deformed Background
• Multi-spin String Solutions in Magnetic-flux Deformed $Ad{S}_n\times S^m$ Spacetime
• Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
• D1-brane in beta-Deformed Background
• Conformal Invariance = Finiteness and Beta Deformed N=4 SYM Theory
• On beta-deformations and Noncommutativity
• Marginal Deformations of N=4 SYM and Open vs. Closed String Parameters