U-Duality Invariance of the Four-dimensional Born-Infeld Theory
Christiaan Hofman, Erik Verlinde, Gysbert Zwart
TL;DR
This paper demonstrates that the Hamiltonian and BPS-mass of a compactified D4-brane with fluxes and moduli are invariant under the full U-duality group SO(5,5,Z), highlighting symmetry properties in string theory.
Contribution
It provides a detailed calculation showing U-duality invariance of the D4-brane Hamiltonian and BPS-mass in a compactified setting, extending understanding of duality symmetries.
Findings
Hamiltonian of compactified D4-brane calculated
BPS-mass found to be invariant under U-duality
U-duality group SO(5,5,Z) fully preserved
Abstract
We calculate the Hamiltonian of a compactified D4-brane, with general fluxes and moduli, and find the BPS-mass. The results are invariant under the complete U-duality SO(5,5,Z).
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