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Generalised Geometry and type II Supergravity
High Energy Physics - Theory · Submitted 14 Feb 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space.
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Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. To leading order in the fermion fields, this allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly $Spin(9,1)\times Spin(1,9)$-covariant form.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. | contribution 0.91 | 0.67 | 0.68 | asserted 1.00 |
| s1 | To leading order in the fermion fields, this allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly $Spin(9,1)\times Spin(1,9)$-covariant form. | result 0.77 | 0.79 | 0.28 | asserted 0.78 |
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The paper
Original abstract
Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. To leading order in the fermion fields, this allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly $Spin(9,1)\times Spin(1,9)$-covariant form.
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References
How the literature uses it
17 arXiv papers cite this in 23 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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We reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space.
Supergravity as Generalised Geometry I: Type II Theories · 1.00
Papers citing it · 9 sentences without a confident label
Cites it as background 13 papers
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One important and beautiful line of work led by Waldram and collaborators has been to harness generalised geometry to reformulate supergravity [ref] .
Duality Symmetric String and M-Theory · T-duality and Generalised Geometry · 0.86
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Preceding related works include the papers by Fukuma, Oota and Tanaka [ref] , by Hassan [ref] , by Berkovits and Howe [ref] , by Coimbra, Strickland-Constable and Waldram [ref] , and by Hohm, Kwak and Zwiebach [ref] , where the R-R sector was treated as an $$ spinor [ref] or as a $D$-dimensional bi-spinor [ref] .
Ramond-Ramond Cohomology and O(D,D) T-duality · Introduction · 0.94
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T-duality in string theory becomes a manifest $$ rotation in doubled spacetime [ref] , and so do various $$-theory U-dualities in extended spacetimes, including the maximal $E_11$ [ref] , $E_10$ [ref] and smaller cousins [ref] (see also [ref] for further references).
U-gravity : ${\mathbf{SL}(N)}$ · Introduction · 0.89
What it cites · 3 sentences without a confident label
Uses the method or tool of 1 paper
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where we have made use of the Mukai pairing between two spinors [ref] .
math.DG/0209099 · Introduction · 0.98
Cites as background 2 papers
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Generalised geometry [ref] is the study of structures on a generalised tangent space $E≃TM⊕T^*M$.
math.DG/0209099 · Introduction · 1.00
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Generalised geometry [ref] is the study of structures on a generalised tangent space $E≃TM⊕T^*M$.
math.DG/0401221 · Introduction · 1.00
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