12 papers
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…
Critical dimensions and small cycle dominance from all-orders asymptotics of -matrix theory
Yang Lei, Sanjaye Ramgoolam
The paper analyses the large‑N partition function of matrix models that count gauge‑invariant operators in supersymmetric Yang‑Mills theory, deriving all‑orders asymptotics and ide…
Simple harmonic oscillators from non-semisimple walled Brauer algebras
Sanjaye Ramgoolam, MichaÅ StudziÅski
Walled Brauer algebras illuminate the combinatorics of mixed tensor representations of , with copies of the fundamental and copies of the anti-fundam…
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, MichaÅ StudziÅski
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…