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hep-th2024
Eigenvalue systems for integer orthogonal bases of multi-matrix invariants at finite N
Adrian Padellaro, Sanjaye Ramgoolam, Ryo Suzuki
Multi-matrix invariants, and in particular the scalar multi-trace operators of SYM with gauge symmetry, can be described using permutation centraliser algebr…
hep-th2024
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…
hep-th2024
Permutation invariant matrix quantum thermodynamics and negative specific heat capacities in large N systems
Denjoe O'Connor, Sanjaye Ramgoolam
We study the thermodynamic properties of the simplest gauged permutation invariant matrix quantum mechanical system of oscillators, for general matrix size . In the canonical en…