Geometry of $\mathbb{R}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory
| Autor: | Chabrol, Lilian |
|---|---|
| Přispěvatelé: | Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
geometry exceptional F-theory [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] monodromy dimension: 8 FOS: Physical sciences field equations tensor: Ricci space: internal p-branes membrane model effective field theory High Energy Physics - Theory (hep-th) D-branes string supergravity tensor: embedding String Duality |
| Zdroj: | JHEP JHEP, 2019, 08, pp.073. ⟨10.1007/JHEP08(2019)073⟩ Journal of High Energy Physics Journal of High Energy Physics, 2019, 08, pp.073. ⟨10.1007/JHEP08(2019)073⟩ |
| ISSN: | 1126-6708 1029-8479 |
| DOI: | 10.48550/arxiv.1901.08295 |
| Popis: | International audience; We consider a non trivial solution to the section condition in the context of ℝ$^{+}$ ×E$_{3(3)}$ exceptional field theory and show that allowing fields to depend on the additional stringy coordinates of the extended internal space permits to describe the monodromies of (p, q) 7-branes in the context of F-theory. General expressions of non trivial fluxes with associated linear and quadratic constraints are obtained via a comparison to the embedding tensor of eight dimensional gauged maximal supergravity with gauged trombone symmetry. We write an explicit generalised Christoffel symbol for E$_{3(3)}$ EFT and show that the equations of motion of F-theory, namely the vanishing of a 4 dimensional Ricci tensor with two of its dimensions fibered, can be obtained from a generalised Ricci tensor and an appropriate type IIB ansatz for the metric. |
| Databáze: | OpenAIRE |
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