Cut-and-join operators and N=4 super Yang-Mills
arXiv:1002.2099 · doi:10.1007/JHEP05(2010)058
Abstract
We show which multi-trace structures are compatible with the symmetrisation of local operators in \cN=4 super Yang-Mills when they are organised into representations of the global symmetry group. Cut-and-join operators give the non-planar expansion of correlation functions of these operators in the free theory. Using these techniques we find the 1/N corrections to the quarter-BPS operators which remain protected at weak coupling. We also present a new way of counting these chiral ring operators using the Weyl group S_N.
44 pages, 3 figures; minor clarifications and typos fixed
References in corpus (18)
- Counting Gauge Invariants: the Plethystic Program
- Diagonal multi-matrix correlators and BPS operators in N=4 SYM
- Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
- Supersymmetric states of N=4 Yang-Mills from giant gravitons
- Giant Gravitons - with Strings Attached (III)
- Counting BPS operators in N=4 SYM
- Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
- A study of open strings ending on giant gravitons, spin chains and integrability
- Enhanced symmetries of gauge theory and resolving the spectrum of local operators
- Brane webs and 1/4-BPS geometries
- Integrability vs. Information Loss: A Simple Example
- A description of 1/4 BPS configurations in minimal type IIB SUGRA
- On the worldsheet theories of strings dual to free large N gauge theories
- Permutations and the Loop
- Restricted Schur Polynomials and Finite N Counting
- Principal Chiral Model on Superspheres
- Half-BPS SU(N) Correlators in N=4 SYM
- Asymptotic counting of BPS operators in superconformal field theories