Author

R. de Mello Koch

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Preprint Aug 2026

A pedagogical introduction to invariant theory and finite-$N$ holography

These lectures provide a pedagogical introduction to the study of finite-$N$ physics of the AdS/CFT correspondence. More specifically we develop the consequences of the trace relations for the space of gauge invariant operators, using powerful methods from invariant theory. Our key conclusions are \begin{itemize} \item...

R. de Mello Koch, Minkyoo Kim, A. L. Mahu et al. · 3 citations · ⚡1

Preprint Sep 2026

Hironaka Geometry and Resurgence in Finite-$N$ Matrix Models

We study how finite-$N$ invariant theory organizes the non-perturbative structure of matrix models. For a model of four traceless Hermitian $2\times 2$ matrices, the Hironaka decomposition realizes the gauge-invariant configuration space as an eight-sheeted branched cover of the space of primary invariants. We show tha...

R. de Mello Koch, Vinayak Raj, Anik Rudra · 0 citations