Moduli Axions, Stabilizing Moduli and the Large Field Swampland Conjecture in Heterotic M-Theory
arxiv(2023)
摘要
We compute the potential energy for the dilaton, complex structure and Kahler
moduli and search of realistic vacua of heterotic M-theory compactified on
Calabi-Yau threefolds. We present a protocol for deriving the potential that
combines the non-perturbative complex structure, gaugino condensate and
worldsheet instanton superpotentials in theories in which the hidden sector
contains an anomalous U(1) structure group. The Green-Schwarz anomaly
cancellation induces inhomogeneous axion transformations for the imaginary
components of the dilaton and Kahler modulus. Using this protocol we obtain
explicit examples in which potential has a global minimum at negative or zero
vacuum density or a metastable minimum with positive vacuum density. In all
three cases, the dilaton, Kahler modulus and associated axion moduli are
completely stabilized. Finally, we show that, for any of these vacua, the
potential energy satisfies the large scalar field Swampland conjecture.
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