Instanton Worldlines in Five-Dimensional $\Omega$-Deformed Gauge Theory

Abstract

We discuss the Bosonic sector of a class of supersymmetric non-Lorentzian five-dimensional gauge field theories with an $SU(1,3)$ conformal symmetry. These actions have a Lagrange multiplier which imposes a novel $\Omega$-deformed anti-self-dual gauge field constraint. Using a generalised 't Hooft ansatz we find the constraint equation linearizes allowing us to construct a wide class of explicit solutions. These include finite action configurations that describe worldlines of anti-instantons which can be created and annihilated. We also describe the dynamics on the constraint surface.

arXiv comment39 pages, 7 figures

References in corpus (19)

• Open P-Branes
• Non-trivial Fixed Points of The Renormalization Group in Six Dimensions
• Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Holographic Four-Point Functions in the (2, 0) Theory
• All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• (2,0) Supersymmetry and the Light-Cone Description of M5-branes
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Instanton Operators in Five-Dimensional Gauge Theories
• Aspects of superconformal field theories in six dimensions
• 6d (2,0) and M-theory at 1-loop
• Non-Lorentzian M5-brane Theories from Holography
• M-theory Beyond The Supergravity Approximation
• Five-Dimensional Non-Lorentzian Conformal Field Theories and their Relation to Six-Dimensions
• Matrix Description of (1,0) Theories in Six Dimensions
• Bosonic Symmetries of $(2,0)$ DLCQ Field Theories
• Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory
• Supersymmetric Soliton $\sigma$-models from Non-Lorentzian Field Theories

Cited by in corpus (3)

• Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes
• Five-Dimensional Path Integrals for Six-Dimensional Conformal Field Theories
• Yangian Symmetry in Five Dimensions