Gauge Coupling Constant Unification With Planck Scale Values Of Moduli

TL;DR

This paper investigates the unification of gauge coupling constants at the Planck scale within orbifold theories, analyzing the role of moduli values and symmetry breaking in achieving convergence.

Contribution

It explores gauge coupling unification at high energies in orbifold models with broken modular symmetries and examines the moduli conditions for unification with larger gauge groups.

Findings

Gauge couplings unify near 2×10^{16} GeV in certain orbifold models.

Specific moduli values are identified that facilitate unification.

Unification conditions are extended to models with larger gauge groups.

Abstract

Convergence of the standard model gauge coupling constants to a common value at around $2\times 10^{16}$ GeV is studied in the context of orbifold theories where the modular symmetry groups for $T$ and $U$ moduli are broken to subgroups of $PSL(2, Z)$. The values of the moduli required for this unification of coupling constants are studied for this case and also for the case where string unification is accompanied by unification to a gauge group larger then $SU(3)\times SU(2)\times U(1).$