Note on the Radion Effective Potential in the Presence of Branes

TL;DR

This paper demonstrates that in string theory compactifications with codimension 2 branes, the gravitational backreaction of branes significantly alters the radion effective potential, challenging common assumptions in the field.

Contribution

It provides an explicit example showing that brane backreaction cannot be neglected in deriving the radion potential in certain compactification scenarios.

Findings

Backreaction affects radion dynamics in codimension 2 branes.

Presence of branes may have no effect on radion in specific cases.

Challenges assumptions about brane influence in compactification models.

Abstract

In String Theory compactification, branes are often invoked to get the desired form of the radion effective potential. Current popular way of doing this assumes that the introduction of branes will not modify the background geometry in an important way. In this paper, we show by an explicit example that at least in the codimension 2 case, the gravitational backreaction of the brane cannot be neglected in deriving the radion effective potential. Actually, in this case, the presence of branes will have no effect on the dynamics of radion.