Orbifold ETW brane and half-indices

TL;DR

This paper computes and matches half-indices of $ ext{N}=4$ super Yang-Mills theories with orthogonal and symplectic groups, providing evidence for dualities of boundary conditions and interfaces, and exploring holographic duals involving orbifold ETW branes and giant gravitons.

Contribution

It introduces exact half-index formulas for orbifold ETW giant gravitons and demonstrates their dualities, advancing understanding of boundary conditions in supersymmetric gauge theories.

Findings

Precise matching of half-indices confirms dualities.

Derived exact formulas for orbifold ETW giant graviton indices.

Established connections between indices and holographic duals.

Abstract

We study the half-indices of $\mathcal{N}=4$ super Yang-Mills theories of orthogonal and symplectic gauge groups. We find precise matching pairs of the half-indices as strong evidence of dualities of the half-BPS boundary conditions and interfaces. The half-indices encode the spectra of excitations on the holographically dual orbifold ETW brane and giant gravitons. The exact form of the index for the orbifold ETW giant gravitons is obtained from the giant graviton expansion of the half-index.