3 papers
hep-th2024
Irreducible decompositions of tensors via the Brauer algebra and applications to metric-affine gravity
Thomas Helpin
In the first part of this thesis, we make use of representation theory of groups and algebras to perform an irreducible decomposition of tensors in the context of metric-affine gra…
math.RT2022
Construction of the traceless projection of tensors via the Brauer algebra
D. V. Bulgakova, Y. O. Goncharov, T. Helpin
We describe how traceless projection of tensors of a given rank can be constructed in a closed form. On the way to this goal we invoke the representation theory of the Brauer algeb…
hep-th2019
A metric-affine version of the Horndeski theory
Thomas Helpin, Mikhail S. Volkov
We study the metric-affine versions of scalar-tensor theories whose connection enters the action only algebraically. We show that the connection can be integrated out in this case,…