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arXiv · 1911.09306

On finite-size spiky strings in $AdS_3 \times S^3\times T^4$ with mixed fluxes

Sorna Prava Barik·Rashmi R. Nayak·Kamal L. Panigrahi
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Abstract

We discuss finite-size corrections to the spiky strings in $AdS$ space which is dual to the long $\mathcal{N}=4$ SYM operators of the form Tr($\Delta_+ ^{J_1}\phi_1\Delta_+ ^{J_2}\phi_2...\Delta_+ ^{J_n}\phi_n$). We express the finite-size dispersion relation in terms of Lambert $\mathbf{W}$-function. We further establish the finite-size scaling relation between energy and angular momentum of the spiky string in presence of mixed fluxes in terms of $\mathbf{W}$-function. We comment on the solution in pure NS-NS background as well.

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Sorna Prava Barik, Rashmi R. Nayak, Kamal L. Panigrahi. 2019-11-21. On finite-size spiky strings in $AdS_3 \times S^3\times T^4$ with mixed fluxes. https://arxiv.org/abs/1911.09306

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