Reading-off the non-geometric scalar potentials with U-dual fluxes
Abstract In the context of four-dimensional N $$ \mathcal{N} $$ = 1 type IIB superstring compactifications, the U-dual completion of the holomorphic flux superpotential leads to four S-dual pairs of fluxes, namely (F, H), (Q, P), (P′, Q′) and (H′, F′). It has been observed that the scalar potentials...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)153 |
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| author | Sayan Biswas George K. Leontaris Pramod Shukla |
| author_facet | Sayan Biswas George K. Leontaris Pramod Shukla |
| author_sort | Sayan Biswas |
| collection | DOAJ |
| description | Abstract In the context of four-dimensional N $$ \mathcal{N} $$ = 1 type IIB superstring compactifications, the U-dual completion of the holomorphic flux superpotential leads to four S-dual pairs of fluxes, namely (F, H), (Q, P), (P′, Q′) and (H′, F′). It has been observed that the scalar potentials induced by such generalized superpotentials typically have an enormous amount of terms, making it hard to study any phenomenological aspects such as moduli stabilization. In this regard, we present a set of generic master formulae which not only formulate the scalar potential in a compact way but also enable one to read-off the various scalar potential pieces by simply knowing a set of topological data of the compactifying Calabi Yau and its mirror threefold. We demonstrate the applicability of our master formulae by reading-off the scalar potentials for five explicit models, and using a set of axionic flux combinations we show that 76276 terms arising from the flux superpotential in a 𝕋6 /(ℤ2 × ℤ2)-based model can be equivalently expressed by using 2816 terms, while 11212 terms arising from the flux superpotential in a Quintic-based model can be equivalently expressed by 668 terms! We argue that the master formulae presented in this work can be useful in an analytic exploration of the rich landscape of the non-geometric flux vacua. |
| format | Article |
| id | doaj-art-4a9e5bd5f5b44e988620557547032dbd |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4a9e5bd5f5b44e988620557547032dbd2025-02-09T12:07:11ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114210.1007/JHEP01(2025)153Reading-off the non-geometric scalar potentials with U-dual fluxesSayan Biswas0George K. Leontaris1Pramod Shukla2Department of Physical Sciences, Bose InstitutePhysics Department, University of IoanninaDepartment of Physical Sciences, Bose InstituteAbstract In the context of four-dimensional N $$ \mathcal{N} $$ = 1 type IIB superstring compactifications, the U-dual completion of the holomorphic flux superpotential leads to four S-dual pairs of fluxes, namely (F, H), (Q, P), (P′, Q′) and (H′, F′). It has been observed that the scalar potentials induced by such generalized superpotentials typically have an enormous amount of terms, making it hard to study any phenomenological aspects such as moduli stabilization. In this regard, we present a set of generic master formulae which not only formulate the scalar potential in a compact way but also enable one to read-off the various scalar potential pieces by simply knowing a set of topological data of the compactifying Calabi Yau and its mirror threefold. We demonstrate the applicability of our master formulae by reading-off the scalar potentials for five explicit models, and using a set of axionic flux combinations we show that 76276 terms arising from the flux superpotential in a 𝕋6 /(ℤ2 × ℤ2)-based model can be equivalently expressed by using 2816 terms, while 11212 terms arising from the flux superpotential in a Quintic-based model can be equivalently expressed by 668 terms! We argue that the master formulae presented in this work can be useful in an analytic exploration of the rich landscape of the non-geometric flux vacua.https://doi.org/10.1007/JHEP01(2025)153Flux CompactificationsString DualitySupergravity Models |
| spellingShingle | Sayan Biswas George K. Leontaris Pramod Shukla Reading-off the non-geometric scalar potentials with U-dual fluxes Journal of High Energy Physics Flux Compactifications String Duality Supergravity Models |
| title | Reading-off the non-geometric scalar potentials with U-dual fluxes |
| title_full | Reading-off the non-geometric scalar potentials with U-dual fluxes |
| title_fullStr | Reading-off the non-geometric scalar potentials with U-dual fluxes |
| title_full_unstemmed | Reading-off the non-geometric scalar potentials with U-dual fluxes |
| title_short | Reading-off the non-geometric scalar potentials with U-dual fluxes |
| title_sort | reading off the non geometric scalar potentials with u dual fluxes |
| topic | Flux Compactifications String Duality Supergravity Models |
| url | https://doi.org/10.1007/JHEP01(2025)153 |
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