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-dimension...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-04-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2017)141 |
| _version_ | 1818486430899372032 |
|---|---|
| author | Cesar Damian Oscar Loaiza-Brito |
| author_facet | Cesar Damian Oscar Loaiza-Brito |
| author_sort | Cesar Damian |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T16:22:55Z |
| format | Article |
| id | doaj.art-9adac668f1104a8792a1860cf0acc1df |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T16:22:55Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9adac668f1104a8792a1860cf0acc1df2022-12-22T01:41:46ZengSpringerOpenJournal of High Energy Physics1029-84792017-04-012017413310.1007/JHEP04(2017)141Meromorphic flux compactificationCesar Damian0Oscar Loaiza-Brito1Departamento de Ingeniería Mecánica, Universidad de GuanajuatoDepartamento de Física, Universidad de GuanajuatoAbstract 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.http://link.springer.com/article/10.1007/JHEP04(2017)141Flux compactificationsString Duality |
| spellingShingle | Cesar Damian Oscar Loaiza-Brito Meromorphic flux compactification Journal of High Energy Physics Flux compactifications String Duality |
| title | Meromorphic flux compactification |
| title_full | Meromorphic flux compactification |
| title_fullStr | Meromorphic flux compactification |
| title_full_unstemmed | Meromorphic flux compactification |
| title_short | Meromorphic flux compactification |
| title_sort | meromorphic flux compactification |
| topic | Flux compactifications String Duality |
| url | http://link.springer.com/article/10.1007/JHEP04(2017)141 |
| work_keys_str_mv | AT cesardamian meromorphicfluxcompactification AT oscarloaizabrito meromorphicfluxcompactification |