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On finite-size spiky strings in AdS3× S3× T4 with mixed fluxes

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Abstract

We discuss finite-size corrections to the spiky strings in AdS space which is dual to the long 𝒩 = 4 SYM operators of the form Tr(\( {\varDelta}_{+}^{J_1}{\phi}_1{\varDelta}_{+}^{J_2}{\phi}_2\dots {\varDelta}_{+}^{J_n}{\phi}_n \)). We express the finite-size dispersion relation in terms of Lambert 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 W-function. We comment on the solution in pure NS-NS background as well.

A preprint version of the article is available at ArXiv.

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Correspondence to Sorna Prava Barik.

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ArXiv ePrint: 1911.09306

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Barik, S.P., Nayak, R.R. & Panigrahi, K.L. On finite-size spiky strings in AdS3× S3× T4 with mixed fluxes. J. High Energ. Phys. 2020, 71 (2020). https://doi.org/10.1007/JHEP02(2020)071

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Keywords

  • AdS-CFT Correspondence
  • Bosonic Strings
  • Long strings