Stokes phenomena in 3d N=2 SQED2 and CP1 models

We propose a novel approach of uncovering Stokes phenomenon exhibited by the holomorphic blocks of CP1 model by considering it as a specific decoupling limit of SQED(2) model. This approach involves using a Z(3) symmetry that leaves the supersymmetric parameter space of SQED(2) model invariant to transform a pair of SQED(2) holomorphic blocks to get two new pairs of blocks. The original pair obtained by solving the line operator identities of the SQED(2) model and the two new transformed pairs turn out to be related by Stokes-like matrices. These three pairs of holomorphic blocks can be reduced to the known triplet of CP1 blocks in a particular decoupling limit where two of the chiral multiplets in the SQED(2) model are made infinitely massive. This reduction then correctly reproduces the Stokes regions and matrices of the CP1 blocks. Along the way, we find six pairs of SQED(2) holomorphic blocks in total, which lead to six Stokes-like regions covering uniquely the full parameter space of the SQED(2) model.

Automated summary

In this study, a novel approach to uncovering Stokes phenomenon exhibited by the holomorphic blocks of the CP1 model is proposed by considering it as a specific decoupling limit of the SQED(2) model. By utilizing a Z(3) symmetry to transform holomorphic blocks, six pairs of SQED(2) holomorphic blocks are identified, covering the full parameter space of the SQED(2) model. These findings provide insights into the relationship between different pairs of holomorphic blocks and their associated Stokes-like regions.