2-simplexes and superconformal central charges

TL;DR

This paper introduces a new method for constructing superconformal central charges in string theory-related quantum field theories, simplifying previous complex procedures by using a 2-simplexes decomposition of toric diagrams.

Contribution

It proposes an alternative, more straightforward construction of superconformal central charges based on 2-simplexes decomposition, improving upon the existing methods.

Findings

New 2-simplexes based construction for central charges

Simplifies the computation process for toric Calabi-Yau geometries

Potentially broadens applicability in string theory models

Abstract

The superconformal central charge is an important quantity for theories emerging from string theory geometrical implementation of Quantum Field Theory since it is linked, for example, to the scaling dimension of fields. Butti and Zaffaroni construction of the central charge for toric Calabi-Yau threefold geometries is a powerful tool but its implementation could be quite tricky. Here we present an equivalent new construction based on a 2-simplexes decomposition of the toric diagram.