The superpotential $XYZ+XZY+\frac{c}{3}(X^3+Y^3+Z^3)$

TL;DR

This paper investigates the motivic Donaldson-Thomas series related to an elliptic Sklyanin algebra at a specific point, revealing discrepancies from previously conjectured series, thus advancing understanding in algebraic geometry and mathematical physics.

Contribution

It provides a detailed analysis of the motivic Donaldson-Thomas series for elliptic Sklyanin algebras at order two points, highlighting deviations from existing conjectures.

Findings

The motivic Donaldson-Thomas series differs from the conjectured series at order two points.

The analysis offers new insights into the structure of elliptic Sklyanin algebras.

Results suggest revisions to existing conjectures in the field.

Abstract

The motivic Donaldson-Thomas series associated to an elliptic Sklyanin algebra corresponding to a point of order two differs from the conjectured series in Conjecture 3.4 of 1510.08116 .