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Extending the non-relativistic string AdS coset

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arxiv 2208.02295 v1 pith:C3A4XD24 submitted 2022-08-03 hep-th

Extending the non-relativistic string AdS coset

classification hep-th
keywords algebraextendedcosetnon-relativisticstringactionadjointadmits
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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