General Omega Deformations from Closed String Backgrounds

TL;DR

This paper extends the fluxtrap background, a closed string configuration related to Omega deformation, to more general complex parameters epsilon_1 and epsilon_2, broadening its applicability in string theory.

Contribution

It introduces mechanisms to generalize the fluxtrap background from equal epsilon parameters to arbitrary complex values, enhancing its theoretical framework.

Findings

Extended fluxtrap background to complex epsilon parameters

Provided mechanisms for generalizing Omega deformation backgrounds

Enhanced understanding of string backgrounds related to Omega deformation

Abstract

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.