Konishi lifts a black hole

TL;DR

This paper studies the quantum cohomology in N=4 super Yang-Mills theory, revealing how quantum corrections pair and lift extra cohomologies that cause mismatches in BPS spectra between S-dual theories.

Contribution

It demonstrates how quantum corrections to the supercharge Q, derived from the Konishi anomaly, resolve discrepancies in BPS spectra by pairing and lifting extra cohomologies.

Findings

Quantum-corrected Q pairs and lifts extra cohomologies.

Resolves BPS spectrum mismatch between S-dual theories.

Shows the role of Konishi anomaly in quantum cohomology.

Abstract

We investigate the \emph{quantum} cohomology of a supercharge $Q$ in $\mathcal{N}=4$ super Yang-Mills theory. Recent analyses have revealed a mismatch between the one-loop BPS spectra of the S-dual $SO(7)$ and $Sp(3)$ theories. The $SO(7)$ theory contains a pair of additional graviton (monotone) and non-graviton (fortuitous) cohomologies, whose net contributions cancel in the superconformal index. We show that the quantum-corrected $Q$, inferred from the generalized Konishi anomaly, pairs and lifts these extra cohomologies.