4 papers
Double Categorical Approaches to AQFT I: Axiomatic Setup
Khyathi Komalan
In operator-algebraic AQFT one routinely moves back and forth between two kinds of structure: inclusions of local algebras coming from inclusions of regions, and bimodules/intertwi…
Brushstrokes and Tensor Products: Painting with a Monoidal Category
Khyathi Komalan
This article offers an intuitive introduction to monoidal categories through the lens of painting, presenting abstract mathematical concepts with visual and tactile analogies. Aime…
Quantum Barcodes: Persistent Homology for Quantum Phase Transitions
Khyathi Komalan
We introduce "quantum barcodes," a theoretical framework that applies persistent homology to classify topological phases in quantum many-body systems. By mapping quantum states to…
Constructing TQFTs Using Non-Hermitian Ribbon Fusion Categories
Khyathi Komalan
In this paper, we provide a construction of a Topological Quantum Field Theory from a Non-Hermitian Ribbon Fusion Category. This is a simple method that does not involve enriching…