2 citations · 7 across the 8 of their papers we have counts for
8 papers
Traceless projection of mixed tensor products, and walled Brauer algebras
Yegor Goncharov
We describe a self-contained procedure for constructing the traceless projection of mixed tensor products (built out of a finite-dimensional complex vector space and its dual). The…
Ambient-space variational calculus for gauge fields on constant-curvature spacetimes
Xavier Bekaert, Nicolas Boulanger, Maxim Grigoriev +1
We propose a systematic generating procedure to construct free Lagrangians for massive, massless and partially massless, totally-symmetric tensor fields on starting fro…
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…
On balanced and abelian properties of circular words over a ternary alphabet
D. V. Bulgakova, N. Buzhinsky, Y. O. Goncharov
We revisit the question of classification of balanced circular words and focus on the case of a ternary alphabet. We propose a -dimensional generalisation of the discrete approx…
Normal form for the walled Brauer algebra: construction and applications
D. Bulgakova, Y. Goncharov, O. Ogievetsky
We construct a normal form for the walled Brauer algebra, together with the reduction algorithm. We apply normal form to calculate the numbers of monomials in generators with minim…
On the structure of modules over walled Brauer algebra via normal form and random walks
D. V. Bulgakova, Y. O. Goncharov
We analyze cyclic cell modules over walled Brauer algebra in terms of a certain normal form. The latter allows us to decompose the algebra into the generating set and annihilator i…
Scattering amplitudes as multi-particle higher-spin charges in the correspondence space
Y. O. Goncharov, M. A. Vasiliev
Following the proposal of arXiv:1312.6673, multi-particle scattering amplitudes are represented as conserved higher-spin charges. The advantage of such reformulation is that multi-…
Higher-spin fields and charges in the periodic spinor space
Y. O. Goncharov, M. A. Vasiliev
The invariant unfolded system is considered in the periodic twistor-like spinor space. Complete set of non-trivial charges corresponding to the global symmetry compatible…