A diagrammatic categorification of a Clifford algebra

TL;DR

This paper introduces a graphical calculus to categorify a Clifford algebra and its Fock space using differential graded categories, inspired by contact category gluing actions.

Contribution

It provides a novel diagrammatic approach to categorify Clifford algebras and their representations, connecting to contact category theory.

Findings

Develops a graphical calculus for categorification

Establishes a connection with contact categories of infinite strips

Provides a new framework for Clifford algebra representations

Abstract

We give a graphical calculus for a categorification of a Clifford algebra and its Fock space representation via differential graded categories. The categorical action is motivated by the gluing action between the contact categories of infinite strips.