Strings on the deformedT^1,1: giant magnon and single spike solutions

Abstract

In this paper we have found giant magnon and single spike string solutions in a sector of the gamma-deformed conifold. We examined the dispersion relations and find a behavior analogous to the undeformed case. The transcendental functional relations between the conserved charges are shifted by a certain gamma-dependent term. The latter is proportional to the total momentum and thus qualitatively different from known cases.

On pulsating strings in Schrodinger backgrounds

“…We refer to this equation as the pulsating condition. For Z we have the solution 40) which shows that Z is a constant, as it should be, due to the ansatz (3.37). The equation for θ becomes…”

“…Pulsating strings were first introduced in [29] and later on were generalized by [30][31][32]. Since then there have been further examples of pulsating strings, both in AdS and non-AdS backgrounds [33][34][35][36][37][38][39][40][41][42][43][44][45][46]. In this section we give a brief review on the pulsating string solution obtained in [29].…”

On finite size corrections to the dispersion relations of giant magnon and single spike on γ-deformed T 1,1

“…In [9] we considered the case of infinite charges. In contrast to this case the finite size corrections originate from the expression…”

“…Since we assume ǫ ≪ 1 and thus the energy density E being very large, we see that the coefficient ∆ E produces the leading part of the correction and the ∆ 1 the subleading one. Expressing ∆ − 1 2 (J φ + J ψ ) γ from (25) in a concise form [9] we obtain…”

“…They considered a marginally deformed N = 4 super Yang-Mills and found its gravity dual. This idea was further extended in [7,8] and applied to other backgrounds , see [9].…”