248 citations · 3.1k across the 108 of their papers we have counts for
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Flavour singlets in gauge theory as Permutations
Yusuke Kimura, Sanjaye Ramgoolam, Ryo Suzuki
Gauge-invariant operators can be specified by equivalence classes of permutations. We develop this idea concretely for the singlets of the flavour group in gauge…
Permutations and the combinatorics of gauge invariants for general N
Sanjaye Ramgoolam
Group algebras of permutations have proved highly useful in solving a number of problems in large N gauge theories. I review the use of permutations in classifying gauge invariants…
Gauge Invariants and Correlators in Flavoured Quiver Gauge Theories
Paolo Mattioli, Sanjaye Ramgoolam
In this paper we study the construction of holomorphic gauge invariant operators for general quiver gauge theories with flavour symmetries. Using a characterisation of the gauge in…
Permutation Centralizer Algebras and Multi-Matrix Invariants
Paolo Mattioli, Sanjaye Ramgoolam
We introduce a class of permutation centralizer algebras which underly the combinatorics of multi-matrix gauge invariant observables. One family of such non-commutative algebras is…
Highest Weight Generating functions for hyperKahler T*(G/H) spaces
Amihay Hanany, Sanjaye Ramgoolam, Diego Rodriguez-Gomez
We develop an efficient procedure for counting holomorphic functions on a hyperKahler cone that has a resolution as a cotangent bundle of a homogeneous space by providing a formula…