Extending the non-relativistic string AdS coset

Abstract

Inspired by Lie algebra expansion, we consider an extension of the algebra introduced in arXiv:2203.07386 for the non-relativistic string coset action in AdS${}_5\times$S${}^5$. We show that the extended algebra admits a non-degenerate inner product which is adjoint invariant under the full extended algebra. Furthermore, we provide a finite-dimensional representation of the extended algebra.

4 pages

References in corpus (5)

• Galilean Conformal Algebras and AdS/CFT
• Extended Galilean symmetries of non-relativistic strings
• Aspects of Nonrelativistic Strings
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Coset space actions for nonrelativistic strings

Cited by in corpus (9)

• Nonrelativistic Approximations of Closed Bosonic String Theory
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Non-relativistic string monodromies
• Non-Relativistic Holography from AdS${}_5$/CFT${}_4$
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• Quantum symmetries in 2+1 dimensions: Carroll, (a)dS-Carroll, Galilei and (a)dS-Galilei
• A perturbative approach to the non-relativistic string spectrum
• Non-relativistic quantum strings from gauged WZW models
• An integrable deformed Landau-Lifshitz model with particle production?