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arXiv · 1711.07963

Fast spinning strings on $ η$ deformed $ AdS_5 \times S^{5} $

Aritra Banerjee·Arpan Bhattacharyya·Dibakar Roychowdhury
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Abstract

In this paper, considering the correspondence between spin chains and string sigma models, we explore the rotating string solutions over $ η$ deformed $ AdS_5 \times S^{5} $ in the so called fast spinning limit. In our analysis, we focus only on the bosonic part of the full superstring action and compute the relevant limits on both $(R \times S^{3})_η $ and $(R \times S^{5})_η $ models. The resulting system reveals that in the fast spinning limit, the sigma model on $ η$ deformed $S^5$ could be $\textit{approximately}$ thought of as the continuum limit of anisotropic $ SU(3) $ Heisenberg spin chain model. We compute the energy for a certain class of spinning strings in deformed $S^5$ and we show that this energy can be mapped to that of a similar spinning string in the purely imaginary $β$ deformed background.

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Aritra Banerjee, Arpan Bhattacharyya, Dibakar Roychowdhury. 2018-01-24. Fast spinning strings on $ η$ deformed $ AdS_5 \times S^{5} $. https://doi.org/10.1007/jhep02(2018)035

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