Pulsating strings with mixed three-form flux

Neumann-Rosochatius system is a well known one dimensional integrable system. We study the rotating and pulsating string in AdS 4 × CP 3 with a B NS holonomy turned on over CP 1 ⊂ CP 3 , the so called Aharony-Bergman-Jafferis (ABJ) background. We observe that the string equations of motion in both cases are integrable and the Lagrangians reduce to a form similar to that of a deformed Neumann-Rosochatius system. We find out the scaling relations among various conserved charges and comment on the finite size effect for the dyonic giant magnons on R t × CP 3 with two angular momenta. For the pulsating string we derive the energy as function of oscillation number and angular momenta along CP 3 .

Section: Contentsmentioning

confidence: 99%

“…It will be worth showing that the pulsating strings with two-form NS-NS fluxes in R t × CP 3 can also be reduced to a deformed NR system. The embedding ansatz for closed pulsating string in R t × CP 3 is [26]:…”

Section: Pulsating String In Dual Background Of Abj Modelmentioning

confidence: 99%

Neumann-Rosochatius system for strings in ABJ model

Chakraborty

Panigrahi

2019

“…Subsequently finite-gap solutions were proposed in [49,50] and a large class of folded [51], rotating [52,53,54], pulsating [55,56] and GKP-like multi-spike [57,58] strings have been studied in the literature. Also, well known Neumann-Rosochatius dynamical model of strings has been generalised to AdS 3 × S 3 with NS-NS fluxes together with relevant classical solutions [59,60,61] and one-loop quantization [62] being elucidated in a large number of papers. Moreover, probe D1 strings exploring the mixed flux background have been discussed in [63].…”

Section: Introductionmentioning

confidence: 99%

On N-spike strings in conformal gauge with NS-NS fluxes

Banerjee

Biswas

Pandit

et al. 2019

The AdS 3 × S 3 string sigma model supported both by NS-NS and R-R fluxes has become a well known integrable model, however a putative dual field theory description remains incomplete. We study the anomalous dimensions of twist operators in this theory via semiclassical string methods. We describe the construction of a multi-cusp closed string in conformal gauge moving in AdS 3 with fluxes, which supposedly is dual to a general higher twist operator. After analyzing the string profiles and conserved charges for the string, we find the exact dispersion relation between the charges in the 'long' string limit. This dispersion relation in leading order turns out to be similar to the case of pure RR flux, with the coupling being scaled by a factor that depends on the amount of NS-NS flux turned on. We also analyse the case of pure NS flux, where the dispersion relation simplifies considerably. Furthermore, we discuss the implications of these results at length.

“…26 Semi-classical strings in such backgrounds have also been studied in [57][58][59][60][61]. 27 It is worth noting that turning on such RR moduli is expected to desingularise the dual CFT2 [10].…”

Section: Jhep05(2018)101mentioning

confidence: 99%

Closed strings and moduli in AdS3/CFT2

Sax

Stefański

2018

String theory on AdS 3 × S 3 × T 4 has 20 moduli. We investigate how the perturbative closed string spectrum changes as we move around this moduli space in both the RR and NSNS flux backgrounds. We find that, at weak string coupling, only four of the moduli affect the energies. In the RR background the only effect of these moduli is to change the radius of curvature of the background. On the other hand, in the NSNS background, the moduli introduce worldsheet interactions which enable the use of integrability methods to solve the spectral problem. Our results show that the worldsheet theory is integrable across the 20 dimensional moduli space.