An A{sub r} threesome: Matrix models, 2d conformal field theories, and 4dN=2 gauge theories

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3449328· OSTI ID:21476532

Schiappa, Ricardo ^[1]; Wyllard, Niclas ^[2]

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1. Departamento de Matematica, CAMGSD, Instituto Superior Tecnico, Av. Rovisco Pais 1, 1049-001 Lisboa (Portugal)
2. Department of Fundamental Physics, Chalmers University of Technology, S-412 96 Goeteborg (Sweden)

We explore the connections between three classes of theories: A{sub r} quiver matrix models, d=2 conformal A{sub r} Toda field theories, and d=4N=2 supersymmetric conformal A{sub r} quiver gauge theories. In particular, we analyze the quiver matrix models recently introduced by Dijkgraaf and Vafa (unpublished) and make detailed comparisons with the corresponding quantities in the Toda field theories and the N=2 quiver gauge theories. We also make a speculative proposal for how the matrix models should be modified in order for them to reproduce the instanton partition functions in quiver gauge theories in five dimensions.

• OSTI ID: 21476532
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 8; Other Information: DOI: 10.1063/1.3449328; (c) 2010 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPARATIVE EVALUATIONS
CONFORMAL INVARIANCE
GAUGE INVARIANCE
INSTANTONS
LATTICE FIELD THEORY
MANY-DIMENSIONAL CALCULATIONS
MATRICES
PARTITION FUNCTIONS
SUPERSYMMETRY
CONSTRUCTIVE FIELD THEORY
EVALUATION
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY
QUASI PARTICLES
SYMMETRY