15 citations · 48 across the 11 of their papers we have counts for
11 papers
Secondary invariants and non-perturbative states
Robert de Mello Koch, João P. Rodrigues
At finite the ring of gauge invariant operators is not freely generated. For problems of interest in physics, these rings are Cohen--Macaulay and admit a Hironaka decomposition…
Gauge Invariants at Arbitrary and Trace Relations
Pawel Caputa, Robert de Mello Koch
We investigate conformal field theories with gauge group at arbitrary rank , focusing on the role of trace relations in determining the structure of the Hilbert space. Wo…
Hilbert Space of Finite Multi-matrix Models
Robert de Mello Koch, Antal Jevicki
We study the Hilbert space structure of gauge-invariant operators emergent in large- multi-matrix quantum mechanics. Building on the framework of \cite{deMelloKoch:2025ngs}, we…
Brane-fused black hole operators
Robert de Mello Koch, Minkyoo Kim, Seok Kim +2
We construct infinitely many new -BPS cohomologies of the 4d maximal super-Yang-Mills theory and interpret them as a black hole wrapped by dual giant graviton hairs.…
Quantum Skyrmions in general quantum channels: topological noise rejection and the discretization of quantum information
Robert de Mello Koch, Bo-Qiang Lu, Pedro Ornelas +2
The topology of a pure state of two entangled photons is leveraged to provide a discretization of quantum information. Since discrete signals are inherently more resilient to the e…
A pedagogical introduction to restricted Schur polynomials with applications to heavy operators
Robert de Mello Koch, Minkyoo Kim, Augustine Larweh Mahu
Recent advances in the study of microstates for 1/16-BPS black holes have inspired renewed interest in the analysis of heavy operators. For these operators, traditional techniques…