Publikace na Matematicko-fyzikální fakulta |
2023
Abstrakt
The Molien-Weyl integral formula and the Hilbert-Poincare series have proven to be powerful mathematical tools in relation to gauge theories, allowing to count the number of gauge invariant operators. In this paper we show that these methods can also be employed to construct Free Differential Algebras and, therefore, reproduce the associated pure supergravity spectrum and nonperturbative objects.
Indeed, given a set of fields, the Hilbert-Poincare series allows to compute all possible invariants and consequently derive the cohomology structure.