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LEE, Seung Joo
순수물리이론 연구단
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Physics of infinite complex structure limits in eight dimensions

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Title
Physics of infinite complex structure limits in eight dimensions
Author(s)
Seung-Joo Lee; a Wolfgang Lerche; Timo Weigand
Publication Date
2022-06
Journal
Journal of High Energy Physics, v.2022, no.6, pp.1 - 60
Publisher
Springer Science and Business Media Deutschland GmbH
Abstract
© 2022, The Author(s).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.
URI
https://pr.ibs.re.kr/handle/8788114/12025
DOI
10.1007/JHEP06(2022)042
ISSN
1126-6708
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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