Geometric Algebra Techniques in Flux Compactifications
We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions into differential and...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/7292534 |
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| _version_ | 1832558614781362176 |
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| author | Calin Iuliu Lazaroiu Elena Mirela Babalic Ioana Alexandra Coman |
| author_facet | Calin Iuliu Lazaroiu Elena Mirela Babalic Ioana Alexandra Coman |
| author_sort | Calin Iuliu Lazaroiu |
| collection | DOAJ |
| description | We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions into differential and algebraic constraints on collections of differential forms. In particular, we give a synthetic description of Fierz identities, which are an important ingredient of such problems. As an application, we show how our approach can be used to efficiently treat N=1 compactification of M-theory on eight manifolds and prove that we recover results previously obtained in the literature. |
| format | Article |
| id | doaj-art-b5760214468e44a9a1db6dbee65dafd1 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b5760214468e44a9a1db6dbee65dafd12025-02-03T01:31:57ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/72925347292534Geometric Algebra Techniques in Flux CompactificationsCalin Iuliu Lazaroiu0Elena Mirela Babalic1Ioana Alexandra Coman2Institute for Basic Science, Center for Geometry and Physics, Pohang 790-784, Republic of KoreaHoria Hulubei National Institute for Physics and Nuclear Engineering, Department of Theoretical Physics, Strada Reactorului No. 30, P.O. BOX MG-6, 077125 Magurele, RomaniaDESY, Theory Group, Notkestrasse 85, Building 2a, 22607 Hamburg, GermanyWe study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions into differential and algebraic constraints on collections of differential forms. In particular, we give a synthetic description of Fierz identities, which are an important ingredient of such problems. As an application, we show how our approach can be used to efficiently treat N=1 compactification of M-theory on eight manifolds and prove that we recover results previously obtained in the literature.http://dx.doi.org/10.1155/2016/7292534 |
| spellingShingle | Calin Iuliu Lazaroiu Elena Mirela Babalic Ioana Alexandra Coman Geometric Algebra Techniques in Flux Compactifications Advances in High Energy Physics |
| title | Geometric Algebra Techniques in Flux Compactifications |
| title_full | Geometric Algebra Techniques in Flux Compactifications |
| title_fullStr | Geometric Algebra Techniques in Flux Compactifications |
| title_full_unstemmed | Geometric Algebra Techniques in Flux Compactifications |
| title_short | Geometric Algebra Techniques in Flux Compactifications |
| title_sort | geometric algebra techniques in flux compactifications |
| url | http://dx.doi.org/10.1155/2016/7292534 |
| work_keys_str_mv | AT caliniuliulazaroiu geometricalgebratechniquesinfluxcompactifications AT elenamirelababalic geometricalgebratechniquesinfluxcompactifications AT ioanaalexandracoman geometricalgebratechniquesinfluxcompactifications |