Type-II Calabi-Yau compactifications, T-duality and special geometry in general spacetime signature
arXiv:2111.09017 · doi:10.1007/JHEP02(2022)048
Abstract
We obtain the bosonic Lagrangians of vector and hypermultiplets coupled to four-dimensional supergravity in signatures , and (2,2) by compactification of type-II string theories in signatures (0,10), (1,9) and (2,8) on a Calabi-Yau threefold. Depending on the signature and the distinctions between type-IIA/IIA/IIB/IIB/IIB' the resulting scalar geometries are special Kähler or special para-Kähler for vector multiplets and quaternion-Kähler or para-quaternion Kähler for hypermultiplets. By spacelike and timelike reductions we obtain three-dimensional supergravity theories coupled to two sets of hypermultiplets. We determine the c-maps relating vector to hypermultiplets, and show how the four-dimensional theories are related by spacelike, timelike and mixed, signature-changing T-dualities.
arXiv comment42 pages (including 10 page appendix), 14 tables, 2 figures. v2: LaTeX problem with arXiv identifiers fixed
References in corpus (27)
- N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
- Timelike T-Duality, de Sitter Space, Large Gauge Theories and Topological Field Theory
- 11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds
- Duality and the Signature of Space-Time
- Double Field Theory of Type II Strings
- Special Geometry of Euclidean Supersymmetry I: Vector Multiplets
- Branes, Times and Dualities
- Complex actions in two-dimensional topology change
- Compactification of Type IIB String Theory on Calabi-Yau Threefolds
- Negative Branes, Supergroups and the Signature of Spacetime
- Finite in All Directions
- Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map
- Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes
- Allowable complex metrics in minisuperspace quantum cosmology
- Geometry of Killing spinors in neutral signature
- Special Geometry and Space-time Signature
- Phantom Metrics With Killing Spinors
- Special Geometry, Hessian Structures and Applications
- Euclidean Actions, Instantons, Solitons and Supersymmetry
- Real Killing Spinors in Neutral Signature
- Four-dimensional vector multiplets in arbitrary signature
- dS Spaces and Brane Worlds in Exotic String Theories
- From Static to Cosmological Solutions of N=2 Supergravity
- On brane cosmological solutions
- 10D to 4D Euclidean Supergravity over a Calabi-Yau three-fold
- Hypersymplectic Geometry and Supersymmetric Solutions in (t,s) 5D Supergravity
- Supersymmetry algebras in arbitrary signature and their R-symmetry groups