# Wild quantum dilogarithm identities

## TL;DR

This paper introduces novel 'wild' quantum dilogarithm identities derived from quiver representation theory, employing motivic wall-crossing and Donaldson-Thomas invariants to extend classical identities.

## Contribution

It presents new 'wild' analogues of quantum dilogarithm identities using advanced geometric and representation-theoretic methods.

## Key findings

- Derived 'wild' quantum dilogarithm identities from quiver representations
- Connected identities to motivic wall-crossing and Donaldson-Thomas invariants
- Extended classical identities to more complex 'wild' cases

## Abstract

We exhibit and discuss "wild" analogues of the five-term quantum dilogarithm identity. We derive these from the representation theory of quivers, using motivic wall-crossing, the geometricity of motivic Donaldson-Thomas invariants, and special properties of Kronecker moduli