Instantons in Script N = 1/2 super Yang-Mills theory via deformed super ADHM construction

2005/10/20 by Takeo Araki, Tatsuhiko Takashima, Satoshi Watamura
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/12/044

published as JHEP0512:044,2005 · 32 pages, LaTeX, v2: typos corrected, references added

arxiv created 2005/10/20 · openalex publication_date 2005/12/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study an extension of the ADHM construction to give deformed anti-self-dual (ASD) instantons in N=1/2 super Yang-Mills theory with U(n) gauge group. First we extend the exterior algebra on superspace to non(anti)commutative superspace and show that the N=1/2 super Yang-Mills theory can be reformulated in a geometrical way. By using this exterior algebra, we formulate a non(anti)commutative version of the super ADHM construction and show that the curvature two-form superfields obtained by our construction do satisfy the deformed ASD equations and thus we establish the deformed super ADHM construction. We also show that the known deformed U(2) one instanton solution is obtained by this construction.

Citations

• One-loop renormalisation of massive N=1/2 supersymmetric gauge theory
• On instantons and zero modes of Script N = 1/2 SYM theory
• On a superfield extension of the ADHM construction and Script N = 1 super instantons
• Construction of instantons
• Instantons on Noncommutative ℝ 4 , and (2,0) Superconformal Six Dimensional Theory
• Renormalizability of non(anti)commutative gauge theories with Script N = 1/2 supersymmetry
• The Calculus of Many Instantons
• Wilsonian proof for renormalizability ofN=1/2supersymmetric field theories
• Nilpotent deformations ofN=2 superspace