General Omega Deformations from Closed String Backgrounds

In this note, an important extension to the recent construction of the fluxtrap background is presented. The fluxtrap is a closed string background based on the Melvin solution corresponding to the Omega deformation of flat space. In this note, we introduce the mechanisms to extend it from epsilon_1=-epsilon_2 in R to more general values of epsilon_1 and epsilon_2 in C.