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arXiv · 1603.04369

Gauge Invariants and Correlators in Flavoured Quiver Gauge Theories

Paolo Mattioli·Sanjaye Ramgoolam
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Abstract

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 invariants in terms of equivalence classes generated by permutation actions, along with representation theory results in symmetric groups and unitary groups, we give a diagonal basis for the 2-point functions of holomorphic and anti-holomorphic operators. This involves a generalisation of the previously constructed Quiver Restricted Schur operators to the flavoured case. The 3-point functions are derived and shown to be given in terms of networks of symmetric group branching coefficients. The networks are constructed through cutting and gluing operations on the quivers.

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Paolo Mattioli, Sanjaye Ramgoolam. 2016-03-14. Gauge Invariants and Correlators in Flavoured Quiver Gauge Theories. https://doi.org/10.1016/j.nuclphysb.2016.08.021

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