125 citations · 1k across the 46 of their papers we have counts for
46 papers
Multiple-Order Tensor Field Theory: Enumeration of unitary invariant observables
Joseph Ben Geloun, Arnauld Solente
In Tensor Field Theory (TFT), observables are defined through tensor field contractions that produce unitary invariants for complex-valued tensor fields. Traditionally, these obser…
Counting of surfaces and computational complexity in column sums of symmetric group character tables
Joseph Ben Geloun, Sanjaye Ramgoolam
The character table of the symmetric group , of permutations of objects, is of fundamental interest in theoretical physics, combinatorics as well as computational complexi…
Counting invariants and tensor model observables
Remi Cocou Avohou, Joseph Ben Geloun, Reiko Toriumi
invariants are constructed by contractions of complex tensors of order , also denoted . These tensors transform under fu…
The quantum detection of projectors in finite-dimensional algebras and holography
Joseph Ben Geloun, Sanjaye Ramgoolam
We define the computational task of detecting projectors in finite dimensional associative algebras with a combinatorial basis, labelled by representation theory data, using combin…
One-loop beta-functions of quartic enhanced tensor field theories
Joseph Ben Geloun, Reiko Toriumi
Enhanced tensor field theories (eTFT) have dominant graphs that differ from the melonic diagrams of conventional tensor field theories. They therefore describe pertinent candidates…
Kronecker coefficients from algebras of bi-partite ribbon graphs
Joseph Ben Geloun, Sanjaye Ramgoolam
Bi-partite ribbon graphs arise in organising the large expansion of correlators in random matrix models and in the enumeration of observables in random tensor models. There is…