Supersymmetric codimension-two branes in six-dimensional gauged supergravity

Understand

We consider the six-dimensional Salam-Sezgin supergravity in the presence of codimension-2 branes.

• In the case that the branes carry only tension, we provide a way to supersymmetrise them by adding appropriate localised Fayet-Iliopoulos terms and localised corrections to the Chern-Simons term and modifying accordingly the fermionic supersymmetry transformations.
• The resulting brane action has N=1 supersymmetry (SUSY).
• We find the axisymmetric vacua of the system and show that one has unwarped background solutions with "football"-shaped extra dimensions which always respect N=1 SUSY for any value of the equal brane tensions, in contrast with the non-supersymmetric brane action background.