3d Conformal Higher Spin Symmetry in 2+1 Dimensional Matter Systems
O.V. Shaynkman
TL;DR
This paper demonstrates that the symmetry algebra of massless fields on the 3D conformal boundary of AdS(4) matches the 3D conformal higher spin algebra, providing a realization using free flat 3D matter fields.
Contribution
It establishes the isomorphism between the boundary symmetry algebra and the 3D conformal higher spin algebra, with a simple realization on free matter fields.
Findings
Symmetry algebra of boundary massless fields is isomorphic to 3D conformal higher spin algebra.
Provides a realization of the algebra using an auxiliary Fock module.
Connects boundary conformal symmetry with higher spin algebra in AdS/CFT context.
Abstract
The symmetry algebra of massless fields living on the 3-dimensional conformal boundary of AdS(4) is shown to be isomorphic to 3d conformal higher spin algebra (AdS(4) higher spin algebra). A simple realization of this algebra on the free flat 3d massless matter fields is given in terms of an auxiliary Fock module.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics · Cold Atom Physics and Bose-Einstein Condensates