248 citations · 3.1k across the 108 of their papers we have counts for
7 papers · 1 filter
Polynomial and Eigenspace Factorisations for the One-loop Dilatation Operator at Finite
Adrian Padellaro, Sanjaye Ramgoolam, Ryo Suzuki
We study gauge-invariant two-matrix polynomials of degree , corresponding to the states in the sector of super Yang-Mills theory with gauge group …
String theory mathematics and matrix data analysis
Sanjaye Ramgoolam
Inspired by matrix techniques in quantum field theory and string theory, we review Permutation Invariant Gaussian Matrix Models (PIGMM), which replace the continuous symmetries of…
Negative heat capacities in spherically symmetric sectors of -matrix quantum mechanics
Denjoe O'Connor, Sanjaye Ramgoolam
We consider the and invariant sectors of the bosonic -matrix harmonic oscillator with gauge symmetry. The micro-canonical degeneracy $\mathcal{Z}( N , d ,…
Oscillators from non-semisimple walled Brauer algebras
Sanjaye Ramgoolam, Michał Studziński
The walled Brauer algebras govern Schur--Weyl duality for unitary groups acting on mixed tensor spaces and pla…
Gauge-string duality, monomial bases and graph determinants
Garreth Kemp, Sanjaye Ramgoolam
Questions at the intersection of the AdS/CFT correspondence and quantum information theory motivate the study of projectors in sequences of subalgebras of finite-dimensional commut…
Critical dimensions and small cycle dominance from all-orders asymptotics of -matrix theory
Yang Lei, Sanjaye Ramgoolam
Supersymmetric sectors of super-Yang-Mills theory motivate the study of the partition function for the counting of gauge-invariant functions of matrices tra…