Medevielle, M, Mohaupt, T ORCID: 0000-0002-6864-4086 and Pope, G
(2022)
Type-II Calabi-Yau compactifications, T-duality and special geometry in general spacetime signature.
JOURNAL OF HIGH ENERGY PHYSICS, 2022 (2).
48-.
Text
2111.09017v2.pdf - Author Accepted Manuscript Download (458kB) | Preview |
Abstract
We obtain the bosonic Lagrangians of vector and hypermultiplets coupled to four-dimensional $\mathcal{N}=2$ supergravity in signatures $(0,4)$, $(1,3)$ and (2,2) by compactification of type-II string theories in signatures (0,10), (1,9) and (2,8) on a Calabi-Yau threefold. Depending on the signature and the distinctions between type-IIA/IIA$^*$/IIB/IIB$^*$/IIB' the resulting scalar geometries are special K\"ahler or special para-K\"ahler for vector multiplets and quaternion-K\"ahler or para-quaternion K\"ahler for hypermultiplets. By spacelike and timelike reductions we obtain three-dimensional $\mathcal{N}=4$ supergravity theories coupled to two sets of hypermultiplets. We determine the c-maps relating vector to hypermultiplets, and show how the four-dimensional theories are related by spacelike, timelike and mixed, signature-changing T-dualities.
Item Type: | Article |
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Additional Information: | 42 pages (including 10 page appendix), 14 tables, 2 figures. v2: LaTeX problem with arXiv identifiers fixed |
Uncontrolled Keywords: | String Duality, Supergravity Models, Superstrings and Heterotic Strings |
Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
Depositing User: | Symplectic Admin |
Date Deposited: | 08 Feb 2022 11:43 |
Last Modified: | 15 Mar 2024 06:15 |
DOI: | 10.1007/JHEP02(2022)048 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3148497 |