Mirror Symmetry in Flavored Affine D-type Quivers

TL;DR

This paper verifies three-dimensional mirror symmetry for certain $ =4$ $ ext{D}_N$ quiver gauge theories using sphere partition functions, providing a new method to derive mirror maps and analyze brane configurations.

Contribution

It introduces a novel decomposition of partition functions into Type IIB brane contributions, facilitating the derivation of mirror maps for $ ext{D}_N$ quiver theories.

Findings

Partition functions can be decomposed into brane contributions.

A new method to derive mirror maps from partition functions.

Confirmation of mirror symmetry for $ ext{D}_N$ quiver theories.

Abstract

We present non-trivial checks of three dimensional mirror symmetry for $\mathcal{N}=4$, $\hat{D}_N$ quiver gauge theories with unitary gauge groups using partition function on a round sphere. Type IIB (Hanany-Witten) realization of these theories and their mirror duals (as world volume gauge theories on coincident D3 branes) involve 1/2-BPS boundary conditions associated with orbifold and orientifold 5-planes respectively, in addition to NS5 and D5 branes. We demonstrate that partition function for a given quiver in this class may be decomposed into distinct contributions from the aforementioned Type IIB ingredients. As a byproduct of this computation, we find a convenient way of deriving the mirror map for a given pair of dual theories.