Supersymmetric backgrounds from generalized Calabi‐Yau manifolds
By M. Graña, Ruben Minasian, M. Petrini, A. Tomasiello. 2004
344 citations recorded by the source corpus.
We show that the supersymmetry transformations for type II string theories on six‐manifolds can be written as differential conditions on a pair of pure spinors, the exponentiated Kähler form eiJ and the holomorphic form O. The equations are explicitly symmetric under exchange of the two pure spinors and a choice of even or odd‐rank RR field. This is mirror symmetry for manifolds with torsion. Moreover, RR fluxes affect only one of the two equations: eiJ is closed under the action of the twisted exterior derivative in IIA theory, and similarly O is closed in IIB. This means that supersymmetric SU(3)‐structure manifolds are always complex in IIB while they are twisted symplectic in IIA. Modulo a different action of the B‐field, these are all generalized Calabi‐Yau manifolds, as defined by Hitchin.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/088d3768ac20fb40bd932846befb0f03e35a4de2
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Towards the string dual of N=1 SQCD-like theories (2006, methodology): “6) can be arbitrarily gauge fixed by this symmetry [50].”
- A scan for new N = 1 vacua on twisted tori (2006, background): “This is equivalent to a reduction of the structure group on T ⊕ T ∗(M) to SU(3,3) and the integrability of the associated generalized complex structure [19, 20].”
- Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, background): “These results are in agreement with the analysis of [57,58].”
- Supersymmetric sources, integrability and generalized-structure compactifications (2007, unknown): “[29, 1]) dΩ + 3dA ∧ Ω = 0 , H ∧ Ω = 0 , (3.”
- Hitchin functionals in N = 2 supergravity (2005, background): “Enforcing preserved supersymmetry (and the equations of motion) would impose integrability constrains [28, 34, 44].”
- Flux compactifications in string theory: A Comprehensive review (2005, methodology): “We will skip the details of the derivation done in [59] (see also Refs.”
- Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “Evidence for this identification is provided by comparing the generalized type IIA and type IIB superpotentials.”
- T-duality and closed string non-commutative (doubled) geometry (2010, background): “• In general, six-dimensional, supersymmetric H-flux backgrounds as well as the non-geometric backgrounds can be best described in terms of so-called generalized geometry, which generalizes the SU(3) group structures of the geometric spaces to background with generalized SU(3) × SU(3) group structur”
- Double Field Theory and N=4 Gauged Supergravity (2011, background): “In a subsequent paper [6], an equivalent formulation of the theory in term of the generalized metric HMN was presented, clarifying the link between DFT and Generalized Complex Geometry in the context of type II flux compactifications [7, 8].”
- Double field theory: a pedagogical review (2013, methodology): “Fluxes were considered from a generalized geometrical point of view in [20], and also from a double geometrical point of view in [14, 62, 63].”
- Supersymmetry Breaking from a Calabi-Yau Singularity (2005, background): “The Killing spinors in the [32] SU(3) structure solutions take the general form”
- The Dual superconformal theory for L**pqr manifolds (2005, background): “n based on SU(3) structure like that describing the baryonic branch of Klebanov-Strassler [36]. However all type IIB supersymmetric solutions with SU(3) structure must have complex internal manifolds [39,40] and the argument in [35] just forbids the existence of complex deformations of our cone. It ”