On multi-spin classical strings with NS-NS flux

Banerjee, Aritra; Biswas, Sagar; Panigrahi, Kamal L.

doi:10.1007/jhep08(2018)053

Cited by 4 publications

(3 citation statements)

References 112 publications

(118 reference statements)

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“…All of it started as the 'Giant Magnon' dispersion relation was proposed in [44], which turned out to have non-periodic contribution in the momentum as the periodicity is explicitly spoiled by the flux. 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.…”

Section: Introductionmentioning

confidence: 99%

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

Banerjee

Biswas

Pandit

et al. 2019

J. High Energ. Phys.

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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.

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Section: Introductionmentioning

confidence: 99%

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

Banerjee

Biswas

Pandit

et al. 2019

J. High Energ. Phys.

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“…This model then interpolates between the AdS 3 background with R-R flux which can be studied by the integrability approach and the background with pure NS-NS flux which can be studied using the usual WZW model. To build the bridge, numerous string solutions have been studied in detail in this so called mixed flux background [40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

N spike D-strings in AdS Space with mixed flux

2020

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We use Dirac-Born-Infeld action to study the spinning D-string in $$AdS_3 $$AdS3 background in the presence of both NS-NS and RR fluxes. We compute the scaling relation between the energy (E) and spin (S) in the ‘long string limit’. The energy of these spiky string is found to be a function of spin with the leading logarithmic behaviour and the scaling relation appears to be independent of the amount of flux present. We further discuss folded D-string solutions in $$AdS_3$$AdS3 background with pure NS-NS and R-R fluxes.

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“…This periodic ansatz is closely related to the ansatz introduced in [3] to transform the analysis of the energy spectrum of circular strings spinning in AdS 5 ×S 5 into the study of periodic solutions to the Neumann-Rosochatius integrable system, which is a model of oscillators on a sphere. In reference [4] it was shown that the analysis of closed strings spinning in AdS 3 × S 3 × T 4 with a mixture of Ramond-Ramond (R-R) and Neveu-Schwarz-Neveu-Schwarz (NS-NS) three-form fluxes can be performed by means of an integrable deformation of the Neumann-Rosochatius mechanical system (see [5]- [31] for other solutions and various problems regarding the integrability of the AdS 3 /CFT 2 correspondence with mixed fluxes). The purpose of the present article is to extend the approach of [2] to find minimal area surfaces ending on two concentric circumferences in the presence of NS-NS flux using the integrable deformation of their associated mechanical system.…”

Section: Introductionmentioning

confidence: 99%

Minimal surfaces with mixed three-form flux

2019

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We study minimal area world sheets ending on two concentric circumferences on the boundary of Euclidean AdS 3 with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three-form fluxes. We solve the problem by reducing the system to a one-dimensional integrable model. We find that the Neveu-Schwarz-Neveu-Schwarz flux term either brings the surface near to the boundary or separates the circumferences. In the limit of pure Neveu-Schwarz-Neveu-Schwarz flux, the solution adheres to the boundary in the former case and the outer radius diverges in the latter. We further construct the underlying elliptic spectral curve, which allows us to analyze the deformation of other related minimal surfaces. We show that in the regime of pure Neveu-Schwarz-Neveu-Schwarz flux the elliptic curve degenerates.

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On multi-spin classical strings with NS-NS flux

Cited by 4 publications

References 112 publications

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

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

N spike D-strings in AdS Space with mixed flux

Minimal surfaces with mixed three-form flux

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