Meromorphic flux compactification
Abstract
We present exact solutions of four-dimensional Einstein's equations related to Minkoswki vacuum constructed from Type IIB string theory with non-trivial fluxes. Following [1, 2] we study a non-trivial flux compactification on a fibered product by a four-dimensional torus and a two-dimensional sphere punctured by 5- and 7-branes. By considering only 3-form fluxes and the dilaton, as functions on the internal sphere coordinates, we show that these solutions correspond to a family of supersymmetric solutions constructed by the use of G-theory. Meromorphicity on functions constructed in terms of fluxes and warping factors guarantees that flux and 5-brane contributions to the scalar curvature vanish while fulfilling stringent constraints as tadpole cancelation and Bianchi identities. Different Einstein's solutions are shown to be related by U-dualities. We present three supersymmetric non-trivial Minkowski vacuum solutions and compute the corresponding soft terms. We also construct a non-supersymmetric solution and study its stability.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- April 2017
- DOI:
- 10.1007/JHEP04(2017)141
- arXiv:
- arXiv:1612.05187
- Bibcode:
- 2017JHEP...04..141D
- Keywords:
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- Flux compactifications;
- String Duality;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 33 pages, 1 figure. v2: References added. v3: Some clarifications added, index notation refined, minor changes. Accepted for publication in JHEP