Spin matrix theory string backgrounds and Penrose limits of AdS/CFT

DOI10.1007/JHEP03(2021)129zbMATH Open1461.81106arXiv2011.02539OpenAlexW3136679010MaRDI QIDQ2028312

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Publication date: 31 May 2021

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Abstract: Spin Matrix theory (SMT) limits provide a way to capture the dynamics of the AdS/CFT correspondence near BPS bounds. On the string theory side, these limits result in non-relativistic sigma models that can be interpreted as novel non-relativistic strings. This SMT string theory couples to non-relativistic $U(1)$-Galilean background geometries. In this paper, we explore the relation between pp-wave backgrounds obtained from Penrose limits of AdS${}_{5}imes{S}^5$, and a new type of $U(1)$-Galilean backgrounds that we call flat-fluxed (FF) backgrounds. These FF backgrounds are the simplest possible SMT string backgrounds and correspond to free magnons from the spin chain perspective. We provide a catalogue of the $U(1)$-Galilean backgrounds one obtains from SMT limits of string theory on AdS${}_{5}imes{S}^5$ and subsequently study large charge limits of these geometries from which the FF backgrounds emerge. We show that these limits are analogous to Penrose limits of AdS${}_{5}imes{S}^5$ and demonstrate that the large charge/Penrose limits commute with the SMT limits. Finally, we point out that $U(1)$-Galilean backgrounds prescribe a symplectic manifold for the transverse SMT string embedding fields. This is illustrated with a Hamiltonian derivation for the SMT limit of a particle.

Full work available at URL: https://arxiv.org/abs/2011.02539

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