Quivers as calculators: counting, correlators and Riemann surfaces

摘要: The spectrum of chiral operators in supersymmetric quiver gauge theories is typically much larger the free limit, where superpotential terms vanish. We find that finite N counting any theory, with a product unitary groups, can be described by associating Young diagrams and Littlewood-Richardson multiplicities to simple modification quiver, which we call split-node quiver. large limit leads surprisingly infinite formula for invariant operators, valid bifundamental fields. An orthogonal basis CFT inner product, given characters. These are constructed inserting permutations quivers interpreting resulting symmetric group matrix elements branching coefficients. fusion coefficients ring - both UV IR computed at N. derivation follows diagrammatic moves on correlators expressed topological field Riemann surfaces obtained thickening TFTs based groups defect observables associated subgroups play an important role. outline application results construction BPS case non-zero super-potential.