Complex matrix model duality

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.085002· OSTI ID:21541522

Brown, T W ^[1]

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1. DESY, Hamburg, Theory Group, Notkestrasse, 85, D-22603 Hamburg (Germany)

The same complex matrix model calculates both tachyon scattering for the c=1 noncritical string at the self-dual radius and certain correlation functions of operators which preserve half the supersymmetry in N=4 super-Yang-Mills theory. 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.

• OSTI ID: 21541522
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 8; Other Information: DOI: 10.1103/PhysRevD.83.085002; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
COUPLING
DUALITY
FEYNMAN DIAGRAM
RIEMANN SHEET
SCATTERING
SUPERSYMMETRY
YANG-MILLS THEORY
DIAGRAMS
FUNCTIONS
INFORMATION
SIMULATION
SYMMETRY