Twisted Fibrations in M/F-theory
Abstract In this work we investigate 5-dimensional theories obtained from M-theory on genus one fibered threefolds which exhibit twisted algebras in their fibers. We provide a base-independent algebraic description of the threefolds and compute light 5D BPS states charged under finite sub-algebras o...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)017 |
| _version_ | 1797363720311013376 |
|---|---|
| author | Lara B. Anderson James Gray Paul-Konstantin Oehlmann |
| author_facet | Lara B. Anderson James Gray Paul-Konstantin Oehlmann |
| author_sort | Lara B. Anderson |
| collection | DOAJ |
| description | Abstract In this work we investigate 5-dimensional theories obtained from M-theory on genus one fibered threefolds which exhibit twisted algebras in their fibers. We provide a base-independent algebraic description of the threefolds and compute light 5D BPS states charged under finite sub-algebras of the twisted algebras. We further construct the Jacobian fibrations that are associated to 6-dimensional F-theory lifts, where the twisted algebra is absent. These 6/5-dimensional theories are compared via twisted circle reductions of F-theory to M-theory. In the 5-dimensional theories we discuss several geometric transitions that connect twisted with untwisted fibrations. We present detailed discussions of e 6 2 $$ {\mathfrak{e}}_6^{(2)} $$ , so 8 3 $$ {\mathfrak{so}}_8^{(3)} $$ and su 3 2 $$ {\mathfrak{su}}_3^{(2)} $$ twisted fibers and provide several explicit example threefolds via toric constructions. Finally, limits are considered in which gravity is decoupled, including Little String Theories for which we match 2-group symmetries across twisted T-dual theories. |
| first_indexed | 2024-03-08T16:24:55Z |
| format | Article |
| id | doaj.art-332e7f20a1ab4f6ebc02cf2028c6fd09 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T16:24:55Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-332e7f20a1ab4f6ebc02cf2028c6fd092024-01-07T12:05:45ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024119110.1007/JHEP01(2024)017Twisted Fibrations in M/F-theoryLara B. Anderson0James Gray1Paul-Konstantin Oehlmann2Physics Department, Robeson Hall, Virginia TechPhysics Department, Robeson Hall, Virginia TechDepartment of Physics & Department of Mathematics, Northeastern UniversityAbstract In this work we investigate 5-dimensional theories obtained from M-theory on genus one fibered threefolds which exhibit twisted algebras in their fibers. We provide a base-independent algebraic description of the threefolds and compute light 5D BPS states charged under finite sub-algebras of the twisted algebras. We further construct the Jacobian fibrations that are associated to 6-dimensional F-theory lifts, where the twisted algebra is absent. These 6/5-dimensional theories are compared via twisted circle reductions of F-theory to M-theory. In the 5-dimensional theories we discuss several geometric transitions that connect twisted with untwisted fibrations. We present detailed discussions of e 6 2 $$ {\mathfrak{e}}_6^{(2)} $$ , so 8 3 $$ {\mathfrak{so}}_8^{(3)} $$ and su 3 2 $$ {\mathfrak{su}}_3^{(2)} $$ twisted fibers and provide several explicit example threefolds via toric constructions. Finally, limits are considered in which gravity is decoupled, including Little String Theories for which we match 2-group symmetries across twisted T-dual theories.https://doi.org/10.1007/JHEP01(2024)017Gauge SymmetryM-TheoryDiscrete SymmetriesF-Theory |
| spellingShingle | Lara B. Anderson James Gray Paul-Konstantin Oehlmann Twisted Fibrations in M/F-theory Journal of High Energy Physics Gauge Symmetry M-Theory Discrete Symmetries F-Theory |
| title | Twisted Fibrations in M/F-theory |
| title_full | Twisted Fibrations in M/F-theory |
| title_fullStr | Twisted Fibrations in M/F-theory |
| title_full_unstemmed | Twisted Fibrations in M/F-theory |
| title_short | Twisted Fibrations in M/F-theory |
| title_sort | twisted fibrations in m f theory |
| topic | Gauge Symmetry M-Theory Discrete Symmetries F-Theory |
| url | https://doi.org/10.1007/JHEP01(2024)017 |
| work_keys_str_mv | AT larabanderson twistedfibrationsinmftheory AT jamesgray twistedfibrationsinmftheory AT paulkonstantinoehlmann twistedfibrationsinmftheory |