Complex matrix model duality

Abstract

The same complex matrix model calculates both tachyon scattering for the c=1 non-critical string at the self-dual radius and certain correlation functions of half-BPS operators in N=4 super-Yang-Mills. It is dual to another complex matrix model where the couplings of the first model are encoded in the Kontsevich-like variables of the second. The duality between the theories is mirrored by the duality of their Feynman diagrams. Analogously to the Hermitian Kontsevich-Penner model, the correlation functions of the second model can be written as sums over discrete points in subspaces of the moduli space of punctured Riemann surfaces.

35 pages, 9 figures; minor clarifications and typos fixed

References in corpus (7)

• Matrix Models for Random Partitions
• From Matrix Models and quantum fields to Hurwitz space and the absolute Galois group
• On the worldsheet theories of strings dual to free large N gauge theories
• Comments on worldsheet theories dual to free large N gauge theories
• Cut-and-join operators and N=4 super Yang-Mills
• Tau Functions and Matrix Integrals
• Classical c=1 Tachyon Scattering and 1/2-BPS Correlators

Cited by in corpus (15)

• On KP-integrable Hurwitz functions
• Counting Tensor Model Observables and Branched Covers of the 2-Sphere
• Correlators in tensor models from character calculus
• Hypergeometric τ-functions, Hurwitz numbers and enumeration of paths
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Octagons I: Combinatorics and Non-Planar Resummations
• Cut and join operator ring in Aristotelian tensor model
• Strings from Feynman Graph counting : without large N
• What is the Simplest Gauge-String Duality?
• On the refined counting of graphs on surfaces
• CFT4 as SO(4,2)-invariant TFT2
• Holographic Hierarchy in the Gaussian Matrix Model via the Fuzzy Sphere
• Matrix and tensor witnesses of hidden symmetry algebras
• Kronecker coefficients from algebras of bi-partite ribbon graphs
• Schur expansion of random-matrix reproducing kernels