2001/12/21 by R. Flume, R. Poghossian, Rubik Poghossian +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Euler's formula #Instanton #Mathematical analysis #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Physics #Projection (relational algebra) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Space (punctuation) #hep-th
paper · pdf · doi:10.1142/s0217732302006588
published as Mod.Phys.Lett. A17 (2002) 327-340 · LaTex, 15 pages
arxiv created 2001/12/21 · openalex publication_date 2002/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The n-instanton contribution to the Seiberg–Witten prepotential of N = 2 supersymmetric d = 4 Yang–Mills theory is represented as the integral of the exponential of an equivariantly exact form. Integrating out an overall scale and a U(1) angle the integral is rewritten as (4n - 3)-fold product of a closed two-form. This two-form is, formally, a representative of the Euler class of the instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundle projection is the exterior derivative of an angular one-form.