Conformal symmetry on the instanton moduli space

DOI10.1088/0305-4470/38/8/016zbMATH Open1069.81058arXivhep-th/0412101OpenAlexW3099807084MaRDI QIDQ4657661

Yu Tian

Publication date: 14 March 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: The conformal symmetry on the instanton moduli space is discussed using the ADHM construction, where a viewpoint of "homogeneous coordinates" for both the spacetime and the moduli space turns out to be useful. It is shown that the conformal algebra closes only up to global gauge transformations, which generalizes the earlier discussion by Jackiw et al. An interesting 5-dimensional interpretation of the SU(2) single-instanton is also mentioned.

Full work available at URL: https://arxiv.org/abs/hep-th/0412101

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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