Refined matrix models from BPS counting

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.085021· OSTI ID:21541541

Sulkowski, Piotr ^[1]

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1. California Institute of Technology, Pasadena, California 91125 (United States)

We construct a free fermion and matrix model representation of refined Bogomol'nyi-Prasad-Sommerfeld generating functions of D2 and D0 branes bound to a single D6 brane, in a class of toric manifolds without compact four-cycles. In appropriate limit we obtain a matrix model representation of refined topological string amplitudes. We consider a few explicit examples which include a matrix model for the refined resolved conifold, or equivalently five-dimensional U(1) gauge theory, as well as a matrix representation of the refined MacMahon function. Matrix models which we construct have ordinary unitary measure, while their potentials are modified to incorporate the effect of the refinement.

• OSTI ID: 21541541
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BRANES
D-BRANES
FERMIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICS
SYMMETRY GROUPS
TOPOLOGY
U GROUPS
U-1 GROUPS