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Pulsating strings with mixed three-form flux

Mar 8, 2018

11 pages

Published in:

JHEP 04 (2018) 078

Published: Apr 13, 2018

e-Print:

1803.03078 [hep-th]

DOI:

10.1007/JHEP04(2018)078

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Abstract: (Springer)

Circular strings pulsating in AdS

_{3}

× S

^{3}

× T

^{4}

with mixed R-R and NS-NS three-form fluxes can be described by an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical model. In this article we find a general class of pulsating solutions to this integrable system that can be expressed in terms of elliptic functions. In the limit of strings moving in AdS

_{3}

with pure NS-NS three-form flux, where the action reduces to the SL(2, ℝ) WZW model, we find agreement with the analysis of the classical solutions of the system performed using spectral flow by Maldacena and Ooguri. We use our elliptic solutions in AdS

_{3}

to extend the dispersion relation beyond the limit of pure NS-NS flux.

Note:

10 pages. Latex

AdS-CFT Correspondence
Gauge-gravity correspondence
differential forms: 3
flow: spectral
dimension: 1
AdS(3) x S(3) x T(4)
string
flux
integrability
Wess-Zumino-Witten model

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