Gauge Invariants and Correlators in Flavoured Quiver Gauge Theories
arXiv:1603.04369 · doi:10.1016/j.nuclphysb.2016.08.021
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.
42 pages + Appendices, 29 figures
References in corpus (20)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Diagonal multi-matrix correlators and BPS operators in N=4 SYM
- Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
- Giant Gravitons - with Strings Attached (III)
- Giant Gravitons - with Strings Attached (II)
- Klebanov-Witten theory with massive dynamical flavors
- Enhanced symmetries of gauge theory and resolving the spectrum of local operators
- Surprisingly Simple Spectra
- From Matrix Models and quantum fields to Hurwitz space and the absolute Galois group
- What is the Simplest Gauge-String Duality?
- Permutation Centralizer Algebras and Multi-Matrix Invariants
- Cut-and-join operators and N=4 super Yang-Mills
- Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
- Topological String Correlators from Matrix Models
- Permutation combinatorics of worldsheet moduli space
- Nonplanar Integrability and Parity in ABJ Theory
- Finite N Quiver Gauge Theory
- Chiral Ring Generating Functions & Branches of Moduli Space
- Heavy Operators in Superconformal Chern-Simons Theory
- Flavours in global Klebanov-Witten background