Holomorphic primary fields in free CFT4 and Calabi-Yau orbifolds
arXiv:1705.06702
Abstract
Counting formulae for general primary fields in free four dimensional conformal field theories of scalars, vectors and matrices are derived. These are specialised to count primaries which obey extremality conditions defined in terms of the dimensions and left or right spins (i.e. in terms of relations between the charges under the Cartan subgroup of ). The construction of primary fields for scalar field theory is mapped to a problem of determining multi-variable polynomials subject to a system of symmetry and differential constraints. For the extremal primaries, we give a construction in terms of holomorphic polynomial functions on permutation orbifolds, which are shown to be Calabi-Yau spaces.
52+1 pages
References in corpus (12)
- Higher Spins & Strings
- Diagonal multi-matrix correlators and BPS operators in N=4 SYM
- Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
- SQCD: A Geometric Apercu
- Counting BPS operators in N=4 SYM
- Comments on 1/16 BPS Quantum States and Classical Configurations
- The Hilbert Series of Adjoint SQCD
- From Matrix Models and quantum fields to Hurwitz space and the absolute Galois group
- The Epsilon-Expansion from Conformal Field Theory
- CFT4 as SO(4,2)-invariant TFT2
- Quite a Character: The Spectrum of Yang-Mills on S^3
- Finite N Quiver Gauge Theory