N-spike string in AdS 3 × S 1 with mixed flux

Abstract Sigma model in AdS 3 × S 3 background supported by both NS-NS and R-R fluxes is one of the most distinguished integrable models. We study a class of classical string solutions for N-spike strings moving in AdS 3 × S 1 with angular momentum J in S 1 ⊂ S 5 in the presence of mixed flux. We ob...

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Bibliographic Details
Published in:The journal of high energy physics 2021-11, Vol.2021 (11), p.1-27
Main Authors: Rashmi R. Nayak, Priyadarshini Pandit, Kamal L. Panigrahi
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Bosonic Strings
Gauge-gravity correspondence
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Summary:Abstract Sigma model in AdS 3 × S 3 background supported by both NS-NS and R-R fluxes is one of the most distinguished integrable models. We study a class of classical string solutions for N-spike strings moving in AdS 3 × S 1 with angular momentum J in S 1 ⊂ S 5 in the presence of mixed flux. We observe that the addition of angular momentum J or winding number m results in the spikes getting rounded off and not end in cusp. The presence of flux shows no alteration to the rounding-off nature of the spikes. We also consider the large N-limit of N-spike string in AdS 3 × S 1 in the presence of flux and show that the so-called Energy-Spin dispersion relation is analogous to the solution we get for the periodic-spike in AdS 3 − pp-wave ×S 1 background with flux.
ISSN:1029-8479
DOI:10.1007/JHEP11(2021)178