On the one-loop Kahler potential in five-dimensional brane-world supergravity

TL;DR

This paper develops an on-shell formulation of 5d gauged supergravity with branes, computes one-loop corrections to the 4d Kahler potential, and discusses discrepancies with previous off-shell results due to singularity ambiguities.

Contribution

It introduces an on-shell approach to 5d supergravity with branes and compares one-loop Kahler potential corrections to prior off-shell methods, highlighting differences at higher order.

Findings

Results agree with previous work at lowest order in brane sources.

Discrepancies arise at higher order due to singularity resolution ambiguities.

The on-shell formalism provides a consistent framework for these calculations.

Abstract

We present an on-shell formulation of 5d gauged supergravity coupled to chiral matter multiplets localized at the orbifold fixed points. The brane action is constructed via the Noether method. In such set-up we compute one-loop corrections to the Kahler potential of the effective 4d supergravity and compare the result with previous computations based on the off-shell formalism. The results agree at lowest order in brane sources, however at higher order there are differences. We explain this discrepancy by an ambiguity in resolving singularities associated with the presence of infinitely thin branes.