Spin(n+1,2)
E1576710
UNEXPLORED
Spin(n+1,2) is the double-cover spin group associated with the (n+3)-dimensional pseudo-orthogonal group of signature (n+1,2), playing a central role in the study of spinors and conformal geometry in that signature.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Spin(n+1,2) canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T23234928 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Spin(n+1,2) Context triple: [orthogonal group O(n+1,2), hasSpinCover, Spin(n+1,2)]
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A.
Spin(2,d)
Spin(2,d) is the double-covering spin group of SO(2,d), serving as the relevant symmetry group for spinor fields in (d+1)-dimensional anti-de Sitter space.
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B.
Lorentz group
The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
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C.
symplectic group Sp(2n,R)
The symplectic group Sp(2n,ℝ) is the Lie group of 2n×2n real matrices that preserve a nondegenerate skew-symmetric bilinear form, playing a central role in symplectic geometry and Hamiltonian mechanics.
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D.
SO(2,d-1)
SO(2,d-1) is the non-compact Lorentz group in (d+1) dimensions that serves as the symmetry group of d-dimensional anti-de Sitter space and plays a central role in AdS/CFT correspondence.
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E.
special orthogonal group SO(n)
The special orthogonal group SO(n) is the group of all n×n real rotation matrices with determinant 1, representing orientation-preserving isometries of n-dimensional Euclidean space that fix the origin.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Spin(n+1,2) Target entity description: Spin(n+1,2) is the double-cover spin group associated with the (n+3)-dimensional pseudo-orthogonal group of signature (n+1,2), playing a central role in the study of spinors and conformal geometry in that signature.
-
A.
Spin(2,d)
Spin(2,d) is the double-covering spin group of SO(2,d), serving as the relevant symmetry group for spinor fields in (d+1)-dimensional anti-de Sitter space.
-
B.
Lorentz group
The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
-
C.
symplectic group Sp(2n,R)
The symplectic group Sp(2n,ℝ) is the Lie group of 2n×2n real matrices that preserve a nondegenerate skew-symmetric bilinear form, playing a central role in symplectic geometry and Hamiltonian mechanics.
-
D.
SO(2,d-1)
SO(2,d-1) is the non-compact Lorentz group in (d+1) dimensions that serves as the symmetry group of d-dimensional anti-de Sitter space and plays a central role in AdS/CFT correspondence.
-
E.
special orthogonal group SO(n)
The special orthogonal group SO(n) is the group of all n×n real rotation matrices with determinant 1, representing orientation-preserving isometries of n-dimensional Euclidean space that fix the origin.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.