We study rigidly rotating strings in the background of AdS 3 × S 3 with Neveu-Schwarz fluxes. We find two interesting limiting cases corresponding to the known giant magnon and the new single spike solution of strings in the above background and write down the dispersion relations among various conserved charges. We use proper regularization to find the correct relations among them. We further study the circular strings and infinite spikes on anti-de Sitter (AdS) and study their properties.
We derive the energy of pulsating string, as function of oscillation number and angular momenta, which oscillates in AdS 3 with an extra angular momentum along S 1 . We find similar solutions for the strings oscillating in S 3 in addition to extra angular momentum. Further we generalize the result of the oscillating strings in Anti de-Sitter space in the presence of both spin and angular momentum in AdS 5 × S 1 .
We study oscillating string solutions in the Klebanov-Witten and its non-Abelian T-dual background dualised along an SU(2) isometry. We find the string energy as the function of oscillation number and angular momentum. We show that for a particular set of T-dual co-ordinates both the background have equal string states. We also study the string states where the strings are expanding and contracting in the T-dual co-ordinate direction. We expect the presence of the superconformal field theory dual operators whose anomalous dimensions depend on T-dual co-ordinate.
Abstract:We derive the energy of pulsating strings as a function of adiabatic invariant oscillation number, which oscillates in S 2 κ . We find similar solutions for the strings oscillating in deformed AdS 3 . Furthermore, we generalize the result of the oscillating strings in anti-de Sitter space in the presence of extra angular momentum in (AdS 3 × S 1 ) κ .
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