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arXiv · 1806.00422

Integrable spin chain for stringy Wess-Zumino-Witten models

Andrea Dei·Alessandro Sfondrini
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Abstract

Building on arXiv:1804.01998 we investigate the integrable structure of the Wess-Zumino-Witten (WZW) model describing closed strings on $AdS_3\times S^3\times T^4$. Using the recently-proposed integrable S matrix we show analytically that all wrapping corrections cancel and that the theory has a natural spin-chain interpretation. We construct the integrable spin chain and discuss its relation with the WZW description. Finally we compute the spin-chain spectrum in closed form and show that it matches the WZW prediction on the nose.

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Andrea Dei, Alessandro Sfondrini. 2019-02-07. Integrable spin chain for stringy Wess-Zumino-Witten models. https://doi.org/10.1007/jhep07(2018)109

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