Physics of infinite complex structure limits in eight dimensions
Abstract We investigate infinite distance limits in the complex structure moduli space of F-theory compactified on K3 to eight dimensions. While this is among the simplest possible arenas to test ideas about the Swampland Distance Conjecture, it is nevertheless non-trivial enough to improve our unde...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2022)042 |
| _version_ | 1797865777533026304 |
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| author | Seung-Joo Lee Wolfgang Lerche Timo Weigand |
| author_facet | Seung-Joo Lee Wolfgang Lerche Timo Weigand |
| author_sort | Seung-Joo Lee |
| collection | DOAJ |
| description | Abstract We investigate infinite distance limits in the complex structure moduli space of F-theory compactified on K3 to eight dimensions. While this is among the simplest possible arenas to test ideas about the Swampland Distance Conjecture, it is nevertheless non-trivial enough to improve our understanding of the physics for these limiting geometries, including phenomena of emergence. It also provides a perspective on infinite distance limits from the viewpoint of open strings. The paper has two quite independent themes. In the main part we show that all degenerations of elliptic K3 surfaces at infinite distance as analysed in the companion paper [1] can be interpreted as (partial) decompactification or emergent string limits in F-theory, in agreement with the Emergent String Conjecture. We present a unified geometric picture of the possible towers of states that can become light and illustrate our general claims via the connection between Kulikov models of degenerating K3 surfaces and the dual heterotic string. As an application we classify the possible maximal non-abelian Lie algebras and their Kac-Moody and loop extensions that can arise in the infinite distance limits. In the second part we discuss the infinite distance behaviour of certain exact quartic gauge couplings. We encounter a tension with the hypothesis that effective couplings should be fully generated by integrating out massive states. We show that by appropriately renormalizing the string coupling, at least partial emergence can be achieved. |
| first_indexed | 2024-04-09T23:14:43Z |
| format | Article |
| id | doaj.art-f5d56f1ae2764e92a60115c9dcdbf751 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:43Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f5d56f1ae2764e92a60115c9dcdbf7512023-03-22T10:12:34ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022616110.1007/JHEP06(2022)042Physics of infinite complex structure limits in eight dimensionsSeung-Joo Lee0Wolfgang Lerche1Timo Weigand2Center for Theoretical Physics of the Universe, Institute for Basic ScienceCERN, Theory DepartmentII. Institut für Theoretische Physik, Universität HamburgAbstract We investigate infinite distance limits in the complex structure moduli space of F-theory compactified on K3 to eight dimensions. While this is among the simplest possible arenas to test ideas about the Swampland Distance Conjecture, it is nevertheless non-trivial enough to improve our understanding of the physics for these limiting geometries, including phenomena of emergence. It also provides a perspective on infinite distance limits from the viewpoint of open strings. The paper has two quite independent themes. In the main part we show that all degenerations of elliptic K3 surfaces at infinite distance as analysed in the companion paper [1] can be interpreted as (partial) decompactification or emergent string limits in F-theory, in agreement with the Emergent String Conjecture. We present a unified geometric picture of the possible towers of states that can become light and illustrate our general claims via the connection between Kulikov models of degenerating K3 surfaces and the dual heterotic string. As an application we classify the possible maximal non-abelian Lie algebras and their Kac-Moody and loop extensions that can arise in the infinite distance limits. In the second part we discuss the infinite distance behaviour of certain exact quartic gauge couplings. We encounter a tension with the hypothesis that effective couplings should be fully generated by integrating out massive states. We show that by appropriately renormalizing the string coupling, at least partial emergence can be achieved.https://doi.org/10.1007/JHEP06(2022)042Differential and Algebraic GeometryF-TheoryString Duality |
| spellingShingle | Seung-Joo Lee Wolfgang Lerche Timo Weigand Physics of infinite complex structure limits in eight dimensions Journal of High Energy Physics Differential and Algebraic Geometry F-Theory String Duality |
| title | Physics of infinite complex structure limits in eight dimensions |
| title_full | Physics of infinite complex structure limits in eight dimensions |
| title_fullStr | Physics of infinite complex structure limits in eight dimensions |
| title_full_unstemmed | Physics of infinite complex structure limits in eight dimensions |
| title_short | Physics of infinite complex structure limits in eight dimensions |
| title_sort | physics of infinite complex structure limits in eight dimensions |
| topic | Differential and Algebraic Geometry F-Theory String Duality |
| url | https://doi.org/10.1007/JHEP06(2022)042 |
| work_keys_str_mv | AT seungjoolee physicsofinfinitecomplexstructurelimitsineightdimensions AT wolfganglerche physicsofinfinitecomplexstructurelimitsineightdimensions AT timoweigand physicsofinfinitecomplexstructurelimitsineightdimensions |