Nonperturbative Relations in {ital N}{bold =2} Supersymmetric Yang-Mills Theory and the Witten-Dijkgraaf-Verlinde-Verlinde Equation

Journal Article · Sun Dec 01 00:00:00 EST 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.4712· OSTI ID:399872

Bonelli, G; Matone, M ^[1]

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1. Department of Physics ``G. Galilei``, Istituto Nazionale di Fisica Nucleare, University of Padova, Via Marzolo, 8-35131 Padova (Italy)

We find the nonperturbative relation between {l_angle}tr{phi}{sup 2}{r_angle},{l_angle}tr{phi}{sup 3}{r_angle} the prepotential {ital F} and {l_angle}{phi}{sub {ital i}}{r_angle} in {ital N}=2 supersymmetric Yang-Mills theory (SYM) with gauge group SU(3). Nonlinear differential equations for {ital F} including the Witten-Dijkgraaf-Verlinde-Verlinde equation are obtained, indicating that {ital N}=2 SYM theories are essentially topological field theories which should be seen as the low-energy limit of some topological string theory. Furthermore, we construct relevant modular invariant quantities, derive canonical relations between the periods, and find the {beta} function in terms of the moduli. In doing this we discuss the uniformization problem for the quantum moduli space. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 399872
• Journal Information: Physical Review Letters, Vol. 77, Issue 23; Other Information: PBD: Dec 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
YANG-MILLS THEORY
SUPERSYMMETRY
DIFFERENTIAL EQUATIONS
SU-3 GROUPS
STRING MODELS
TOPOLOGY
INSTANTONS