Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields
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by
Seung-Joo Lee, Wolfgang Lerche, Timo Weigand
2019
Abstract
We systematically analyse weak coupling limits for 2-form tensor fields in
the presence of gravity. Such limits are significant for testing various
versions of the Weak Gravity and Swampland Distance Conjectures, and more
broadly, the phenomenon of emergence. The weak coupling limits for 2-forms
correspond to certain infinite-distance limits in the moduli space of string
compactifications, where asymptotically tensionless, solitonic strings arise.
These strings are identified as weakly coupled fundamental strings in a dual
frame, which makes the idea of emergence manifest. Concretely we first consider
weakly coupled tensor fields in six-dimensional compactifications of F-theory,
where the arising tensionless strings play the role of dual weakly coupled
heterotic strings. As the main part of this work, we consider certain infinite
distance limits of Type IIB strings on K3 surfaces, for which we show that the
asymptotically tensionless strings describe dual fundamental Type IIB strings,
again on K3 surfaces. By contrast the analogous weak coupling limits of
M-theory compactifications are found to correspond to an F-theory limit where
an extra dimension emerges rather than tensionless strings. We comment on
extensions of our findings to four-dimensional compactifications.
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