17 citations · 39 across the 9 of their papers we have counts for
10 papers
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 …
Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory
Gernot Akemann, Georg Angermann, Mario Kieburg +1
Explicit expressions are proven for derivatives of the ratio of a determinant or Pfaffian determinant and a Vandermonde determinant. Such ratios appear for example in general group…
Row and column detection complexities of character tables
Adrian Padellaro, Sanjaye Ramgoolam, Rak-Kyeong Seong
Character tables of finite groups and closely related commutative algebras have been investigated recently using new perspectives arising from the AdS/CFT correspondence and low-di…
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…
Permutation invariant tensor models and partition algebras
George Barnes, Adrian Padellaro, Sanjaye Ramgoolam
Matrix models with continuous symmetry are powerful tools for studying quantum gravity and holography. Tensor models have also found applications in holographic quantum gravity. Ma…
Permutation invariance, partition algebras and large matrix models
Adrian Padellaro
In this thesis we will study matrix models with discrete gauge group . We will put these matrix models into a generalized Schur-Weyl duality framework where dual algebras, kno…
Row-Column duality and combinatorial topological strings
Adrian Padellaro, Rajath Radhakrishnan, Sanjaye Ramgoolam
Integrality properties of partial sums over irreducible representations, along columns of character tables of finite groups, were recently derived using combinatorial topological s…
Permutation symmetry in large N Matrix Quantum Mechanics and Partition Algebras
George Barnes, Adrian Padellaro, Sanjaye Ramgoolam
We describe the implications of permutation symmetry for the state space and dynamics of quantum mechanical systems of matrices of general size . We solve the general 11- parame…
Hidden symmetries and Large N factorisation for permutation invariant matrix observables
George Barnes, Adrian Padellaro, Sanjaye Ramgoolam
Permutation invariant polynomial functions of matrices have previously been studied as the observables in matrix models invariant under , the symmetric group of all permutatio…
The role of singletons in compactifications
B. E. W. Nilsson, A. Padellaro, C. N. Pope
We derive the isometry irrep content of squashed seven-sphere compactifications of eleven-dimensional supergravity, i.e., the left-squashed () with and right…