Small-instanton transitions in F-theory

Stephen Angus, Kang Sin Choi

Research output: Contribution to journalArticlepeer-review


We study the phase transition between G-instantons and D3-branes quantitatively. A G-instanton is a classical solution to the self-dual equation of the M/F-theory three-form tensor field C in the complex fourfold. This phase transition is dual to that between ‘vertical’ small instantons and 5-branes in the heterotic string. Using G as a background gauge flux, we may dynamically control the gauge symmetry breaking and connect between different vacua of F-theory. We may understand the amount of flux undergoing the phase transition and the resulting number of D3-branes in terms of group-theoretical quantities. We also discuss the resulting chirality change and preservation of anomaly freedom.

Original languageEnglish
Article number274
JournalEuropean Physical Journal Plus
Issue number2
StatePublished - Feb 2022

Bibliographical note

Funding Information:
This work is partly supported by the Grant NRF-2018R1A2B2007163 of National Research Foundation of Korea.

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.


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