SL(2, Z) invariant rotating (m, n) strings in $$AdS_3\times S^3$$ A d S 3 × S 3 with mixed flux

Abstract We study rigidly rotating and pulsating (m, n) strings in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed three form flux. The $$AdS_3 \times S^3$$ A d S 3 × S 3 background with mixed three form flux is obtained in the near horizon limit of SL(2, Z)-transformed solution, corresponding to the...

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Bibliographic Details
Main Authors: M. Sorna Prava Barik, Malak Khouchen, Josef Klusoň, Kamal L. Panigrahi
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:European Physical Journal C: Particles and Fields
Subjects:
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-4842-5
Description
Summary:Abstract We study rigidly rotating and pulsating (m, n) strings in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed three form flux. The $$AdS_3 \times S^3$$ A d S 3 × S 3 background with mixed three form flux is obtained in the near horizon limit of SL(2, Z)-transformed solution, corresponding to the bound state of NS5-branes and fundamental strings. We study the probe (m, n)-string in this background by solving the manifest SL(2, Z)-covariant form of the action. We find the dyonic giant magnon and single spike solutions corresponding to the equations of motion of a probe string in this background and find various relationships among the conserved charges. We further study a class of pulsating (m, n) string in $$AdS_3$$ A d S 3 with mixed three form flux.
ISSN:1434-6044
1434-6052