
TL;DR
This paper introduces a holographic duality called nested holography, linking flat spacetime theories to conformal boundaries and AdS spaces, revealing new symmetries and connections between fermions, monopoles, and conformal structures.
Contribution
It establishes a novel nested holographic framework connecting flat space theories, conformal boundaries, and AdS spaces, with implications for symmetries and fermionic dualities.
Findings
The spin-orbit duality realizes the Hopf map.
Bulk Poincaré group transforms into the conformal group on the cylinder.
Matching of path integrals in flat space, conformal boundary, and AdS$_4$.
Abstract
Recently, we introduced a symmetry on the structure of angular momentum which interchanges internal and external degrees of freedom. The spin-orbit duality is a holographic map that projects a massive theory in four-dimensional flat spacetime onto the three-dimensional null infinity. This cylinder has radius and, quantum-mechanically, its vacuum state is a fuzzy sphere. Progress shows that, first, this duality realizes the Hopf map, a fact manifest on the superparticle. Secondly, the bulk Poincar\`e group transforms into the conformal group on the cylinder. In fact, the general version of the duality yields that the dual symmetries include the BMS group, as is appropriate at null infinity. As an example, the Landau levels in are shown to match those of a Dirac monopole on the dual , in the thermodynamic limit. This…
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Taxonomy
TopicsAdvanced Optical Imaging Technologies
