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Supersymmetric spacetimes in 2+1 adS-supergravity models
General Relativity and Quantum Cosmology · Submitted 17 Jan 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show, subject to a condition on the matter currents (satisfied by the sigma model), and a conjecture concerning global obstructions to the existence of certain types of spinor fields, that the mass of each supersymmetric spacetime saturates a classical bound, in terms of the angular momentum and charge, on the total energy of arbitrary field configurations with the same boundary conditions, although these bounds may be violated quantum mechanically.
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The abstract, sentence by sentence
We find a class of (2+1)-dimensional spacetimes admitting Killing spinors appropriate to (2,0) adS-supergravity. The vacuum spacetimes include anti-de Sitter (adS) space and charged extreme black holes, but there are many others, including spacetimes of arbitrarily large negative energy that have only conical singularities, and the spacetimes of fractionally charged point particles. The non-vacuum spacetimes are those of self-gravitating solitons obtained by coupling (2,0) adS supergravity to sigma-model matter. We show, subject to a condition on the matter currents (satisfied by the sigma model), and a conjecture concerning global obstructions to the existence of certain types of spinor fields, that the mass of each supersymmetric spacetime saturates a classical bound, in terms of the angular momentum and charge, on the total energy of arbitrary field configurations with the same boundary conditions, although these bounds may be violated quantum mechanically.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We find a class of (2+1)-dimensional spacetimes admitting Killing spinors appropriate to (2,0) adS-supergravity. | result 0.61 | 0.96 | 0.18 | asserted 1.00 |
| s1 | The vacuum spacetimes include anti-de Sitter (adS) space and charged extreme black holes, but there are many others, including spacetimes of arbitrarily large negative energy that have only conical singularities, and the spacetimes of fractionally charged point particles. | result 0.97 | 0.78 | 0.12 | asserted 1.00 |
| s2 | The non-vacuum spacetimes are those of self-gravitating solitons obtained by coupling (2,0) adS supergravity to sigma-model matter. | result 0.61 | 0.69 | 0.08 | asserted 1.00 |
| s3 | We show, subject to a condition on the matter currents (satisfied by the sigma model), and a conjecture concerning global obstructions to the existence of certain types of spinor fields, that the mass of each supersymmetric spacetime saturates a classical bound, in terms of the angular momentum and charge, on the total energy of arbitrary field configurations with the same boundary conditions, although these bounds may be violated quantum mechanically. | result 0.98 | 0.90 | 0.71 | asserted 0.89 |
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Original abstract
We find a class of (2+1)-dimensional spacetimes admitting Killing spinors appropriate to (2,0) adS-supergravity. The vacuum spacetimes include anti-de Sitter (adS) space and charged extreme black holes, but there are many others, including spacetimes of arbitrarily large negative energy that have only conical singularities, and the spacetimes of fractionally charged point particles. The non-vacuum spacetimes are those of self-gravitating solitons obtained by coupling (2,0) adS supergravity to sigma-model matter. We show, subject to a condition on the matter currents (satisfied by the sigma model), and a conjecture concerning global obstructions to the existence of certain types of spinor fields, that the mass of each supersymmetric spacetime saturates a classical bound, in terms of the angular momentum and charge, on the total energy of arbitrary field configurations with the same boundary conditions, although these bounds may be violated quantum mechanically.
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21 arXiv papers cite this in 33 sentences
Papers citing it · 18 sentences without a confident label
Compares with it 2 papers
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Notice that this extremality condition perfectly matches that obtained by Izquierdo and Townsend (after replacing $(1 - α) →β$ and $(1 - α) q →Q$ in their eq.(3.5)) [ref] .
Stable p-branes in Chern-Simons AdS supergravities · $𝒩=2$ supersymmetries · 1.00
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Upon elimination of the auxiliary fields, one naturally reproduces the partial component results obtained earlier in [ref] .
Three-dimensional N=2 supergravity theories: From superspace to components · Introduction · 0.95
Cites it as background 11 papers
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A non-trivial example of $=2$ supersymmetric theories with Chern-Simons terms is the so-called $(2,0)$ anti-de Sitter (AdS) supergravity studied in [ref] .
Three-dimensional N=2 (AdS) supergravity and associated supercurrents · Introduction · 0.87
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The spectrum of three-dimensional naked singularities is the one described originally in [ref] .
Stable p-branes in Chern-Simons AdS supergravities · Conical defect in AdS$_3$ (Review) · 0.89
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The on-shell construction of $N=2$ supergravities were examined in [ref] .
Supersymmetric solutions of $N=(2,0)$ Topologically Massive Supergravity · Introduction · 0.98
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