BPS equations and non-trivial compactifications
Abstract We consider the problem of finding exact, eleven-dimensional, BPS supergravity solutions in which the compactification involves a non-trivial Calabi-Yau manifold, Y $$ \mathcal{Y} $$, as opposed to simply a T 6. Since there are no explicitly-known metrics on non-trivial, compact Calabi-Yau...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2018)022 |
| _version_ | 1818154271153061888 |
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| author | Alexander Tyukov Nicholas P. Warner |
| author_facet | Alexander Tyukov Nicholas P. Warner |
| author_sort | Alexander Tyukov |
| collection | DOAJ |
| description | Abstract We consider the problem of finding exact, eleven-dimensional, BPS supergravity solutions in which the compactification involves a non-trivial Calabi-Yau manifold, Y $$ \mathcal{Y} $$, as opposed to simply a T 6. Since there are no explicitly-known metrics on non-trivial, compact Calabi-Yau manifolds, we use a non-compact “local model” and take the compactification manifold to be Y=ℳGH×T2 $$ \mathcal{Y}={\mathrm{\mathcal{M}}}_{\mathrm{GH}}\times {T}^2 $$, where ℳGH is a hyper-Kähler, Gibbons-Hawking ALE space. We focus on backgrounds with three electric charges in five dimensions and find exact families of solutions to the BPS equations that have the same four supersymmetries as the three-charge black hole. Our exact solution to the BPS system requires that the Calabi-Yau manifold be fibered over the space-time using compensators on Y $$ \mathcal{Y} $$. The role of the compensators is to ensure smoothness of the eleven-dimensional metric when the moduli of Y $$ \mathcal{Y} $$ depend on the space-time. The Maxwell field Ansatz also implicitly involves the compensators through the frames of the fibration. We examine the equations of motion and discuss the brane distributions on generic internal manifolds that do not have enough symmetry to allow smearing. |
| first_indexed | 2024-12-11T14:23:51Z |
| format | Article |
| id | doaj.art-bc3863c947084b00852b0fa58e2c3bda |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T14:23:51Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bc3863c947084b00852b0fa58e2c3bda2022-12-22T01:02:48ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018513210.1007/JHEP05(2018)022BPS equations and non-trivial compactificationsAlexander Tyukov0Nicholas P. Warner1Department of Physics & Astronomy, University of Southern CaliforniaDepartment of Physics & Astronomy, University of Southern CaliforniaAbstract We consider the problem of finding exact, eleven-dimensional, BPS supergravity solutions in which the compactification involves a non-trivial Calabi-Yau manifold, Y $$ \mathcal{Y} $$, as opposed to simply a T 6. Since there are no explicitly-known metrics on non-trivial, compact Calabi-Yau manifolds, we use a non-compact “local model” and take the compactification manifold to be Y=ℳGH×T2 $$ \mathcal{Y}={\mathrm{\mathcal{M}}}_{\mathrm{GH}}\times {T}^2 $$, where ℳGH is a hyper-Kähler, Gibbons-Hawking ALE space. We focus on backgrounds with three electric charges in five dimensions and find exact families of solutions to the BPS equations that have the same four supersymmetries as the three-charge black hole. Our exact solution to the BPS system requires that the Calabi-Yau manifold be fibered over the space-time using compensators on Y $$ \mathcal{Y} $$. The role of the compensators is to ensure smoothness of the eleven-dimensional metric when the moduli of Y $$ \mathcal{Y} $$ depend on the space-time. The Maxwell field Ansatz also implicitly involves the compensators through the frames of the fibration. We examine the equations of motion and discuss the brane distributions on generic internal manifolds that do not have enough symmetry to allow smearing.http://link.springer.com/article/10.1007/JHEP05(2018)022Flux compactificationsM-TheorySupergravity ModelsBlack Holes in String Theory |
| spellingShingle | Alexander Tyukov Nicholas P. Warner BPS equations and non-trivial compactifications Journal of High Energy Physics Flux compactifications M-Theory Supergravity Models Black Holes in String Theory |
| title | BPS equations and non-trivial compactifications |
| title_full | BPS equations and non-trivial compactifications |
| title_fullStr | BPS equations and non-trivial compactifications |
| title_full_unstemmed | BPS equations and non-trivial compactifications |
| title_short | BPS equations and non-trivial compactifications |
| title_sort | bps equations and non trivial compactifications |
| topic | Flux compactifications M-Theory Supergravity Models Black Holes in String Theory |
| url | http://link.springer.com/article/10.1007/JHEP05(2018)022 |
| work_keys_str_mv | AT alexandertyukov bpsequationsandnontrivialcompactifications AT nicholaspwarner bpsequationsandnontrivialcompactifications |