Supergravity as generalised geometry I: type II theories
By A. Coimbra, C. Strickland-Constable, D. Waldram. 2011
360 citations recorded by the source corpus.
A bstractWe reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an O(9, 1) × O(1, 9) ⊂ O(10, 10) × $ {\mathbb{R}^{+} } $ structure on the generalised tangent space. Using the notion of generalised connection and torsion, we introduce the analogue of the Levi-Civita connection, and derive the corresponding tensorial measures of generalised curvature. We show how, to leading order in the fermion fields, these structures allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly Spin(9, 1) × Spin(1, 9)-covariant form. The same formalism also describes d-dimensional compactifications to flat space.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7c3414db68fd0a7a006d1443f2e383a93b71bd1a
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Citations in the corpus
- Doubled α′-geometry (2013, background): “) The RamondRamond sector of type-II superstrings is given in [31, 32], and its supersymmetric extension in [33].”
- On the Riemann tensor in double field theory (2011, background): “Put differently, we are setting to zero a generalized torsion tensor T defined by [41, 42] ( L̂ ∇ ξ − L̂ξ ) VM = TMNKξV K .”
- Extended geometry and gauged maximal supergravity (2013, methodology): “J H E P 0 6 ( 2 0 1 3 ) 0 4 6 We will actually consider an augmented duality group, R+ × E7, which accounts for a conformal factor [22–26].”
- Gauged double field theory (2012, background): “16), and is not in the original generalized metric formulation of DFT but we include it to recover the results of [11] and, as we will show in the next section, because it provides the right contribution to the dimensionally reduced theory.”
- Duality Symmetric String and M-Theory (2013, methodology): “The generalised geometry formulation of [21] (in which we recall no coordinate doubling takes place) also includes the complete N = 2 supersymmetric completion which was also achieved for DFT in [185].”
- β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, methodology): “Generalized Geometry (GG), introduced in [23], is one of them.”
- Supergravity as generalised geometry II: Ed(d) × ℝ+ and M theory (2014, methodology): “9 Alternatively by identifying the appropriate O(d− 1, d− 1) subgroup one can decompose to match to the O(d− 1, d− 1)×R+ generalised geometrical description of [1].”
- Double field theory and $ \mathcal{N} = {4} $ gauged supergravity (2011, background): “his, we first reformulate the generalized metric version of DFT with a doubled vielbein. This formulation has a local O(1,9) × O(1,9) Lorentz symmetry, which makes it equivalent to the construction of [33]. The dynamics rely on the antisymmetric part FABC and the trace part Ω˜A of an object ΩABC tran”
- Non‐geometric fluxes in supergravity and double field theory (2012, background): “It would be interesting to include these degrees of freedom into our analysis, for example along the lines of [34, 35, 63], and thus complete our final action (5.”
- Exploring double field theory (2013, methodology): “Here, we will follow the route of [25]−[23], obtaining the action and equations of motion from traces of the generalized Riemann tensor.”