Small-Instanton Transitions in F-theory
Stephen Angus, Kang-Sin Choi
TL;DR
This paper investigates phase transitions between G-instantons and D3-branes in F-theory, revealing insights into gauge symmetry breaking, vacuum connections, and anomaly considerations in string theory.
Contribution
It introduces a framework to analyze G-instantons as solutions controlling gauge symmetry and connects these to D3-branes, enhancing understanding of phase transitions in F-theory.
Findings
Controlled gauge symmetry breaking via G-flux.
Connection between different F-theory vacua.
Insights into chirality change and anomaly preservation.
Abstract
We study the phase transition between G-instantons and D3-branes. A G-instanton is a classical solution to the self-dual equation of the M/F-theory four-form field strength G in the complex fourfold. This phase transition is dual to that between small instantons and 5-branes in the heterotic string. Using G as a background gauge flux, we may dynamically control the gauge symmetry breaking, connect between different vacua of F-theory and understand D3-branes in terms of group-theoretical quantities. We also discuss the resulting chirality change and preservation of anomaly freedom.
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