$Non-trivial extension of the (1+2)-Poincaré algebra and conformal invariance on the boundary of ${\mathrm{AdS}}_3$$

Non-trivial extension of the (1+2)-Poincaré algebra and conformal invariance on the boundary of ${\mathrm{AdS}}_3$

Using recent results on strings on AdS$_3\times N^d$, where N is a d dimensional compact manifold, we re-examine the derivation of the non-trivial extension of the (1+2)-dimensional-Poincaré algebra obtained by Rausch de Traubenberg and Slupinsky. We show by explicit computation that this new extens...

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Veröffentlicht in:	The European physical journal. C, Particles and fields Particles and fields, 2001-07, Vol.21 (4), p.735-747
Hauptverfasser:	Benkaddour, I, A El Rhalami, Saidi, E H
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Lie groups Modules Supersymmetry
Online-Zugang:	Volltext
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Non-trivial extension of the (1+2)-Poincaré algebra and conformal invariance on the boundary of \({\mathrm{AdS}}_3\)