Classical string solutions in Non-Relativistic AdS$_5\times$S$^5$: Closed and Twisted sectors

TL;DR

This paper constructs classical string solutions in non-relativistic AdS$_5\times$S$^5$ theory, including twisted sectors, extending known relativistic solutions like BMN and GKP, and explores their semiclassical properties.

Contribution

It introduces classical solutions in non-relativistic AdS$_5\times$S$^5$ string theory, including twisted sectors enabled by a $\\mathbb{Z}_2$ orbifold symmetry, and connects to previous semiclassical analyses.

Findings

Identified non-relativistic analogues of BMN and GKP solutions.

Discovered twisted sector solutions due to orbifold symmetry.

Linked solutions to semiclassical expansion in prior work.

Abstract

We find classical closed string solutions to the non-relativistic AdS$_5\times$S$^5$ string theory which are the analogue of the BMN and GKP solutions for the relativistic theory. We show that non-relativistic AdS$_5\times$S$^5$ string theory admits a $\mathbb{Z}_2$ orbifold symmetry which allows us to impose twisted boundary conditions. Among the solutions in the twisted sector, we find the one around which the semiclassical expansion in arXiv:2102.00008 takes place.