Multi-instanton calculus in {ital N}=2 supersymmetric gauge theory

Journal Article · Thu Aug 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.2921· OSTI ID:286860

Dorey, N ^[1]; Khoze, V V ^[2]; Mattis, M P ^[3]

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1. Physics Department, University College of Swansea, Swansea SA28PP (United Kingdom)
2. Department of Physics, Centre for Particle Theory, University of Durham, Durham DH1 3LE (United Kingdom)
3. Theoretical Division T-8, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

The Seiberg-Witten solution of {ital N}=2 supersymmetric SU(2) gauge theory may be viewed as a prediction for the infinite family of constants {l_brace}F{sub {ital n}}{r_brace} measuring the {ital n}-instanton contribution to the prepotential F. Here we examine the instanton physics directly, in particular the contribution of the general self-dual solution of topological charge {ital n} constructed by Atiyah, Drinfeld, Hitchin, and Manin (ADHM). In both the bosonic and supersymmetric cases, we determine both the large- and short-distance behavior of all the fields in this background. This allows us to construct the exact classical interaction between {ital n} ADHM (super)instantons mediated by the adjoint Higgs bosons. We calculate the one- and two-instanton contributions to the low-energy Seiberg-Witten effective action and find precise agreement with their predicted values of F{sub 1} and F{sub 2}. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 286860
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 4 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHARGES
DUALITY
HIGGS BOSONS
INSTANTONS
SU-2 GROUPS
SUPERSYMMETRY
TOPOLOGY
UNIFIED GAUGE MODELS