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Author Etesi, Gabor ♦ Szabo, Szilard
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-09-02
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics
Subject Keyword Mathematics - Differential Geometry ♦ General Relativity and Quantum Cosmology ♦ High Energy Physics - Theory ♦ Mathematics - Algebraic Geometry ♦ Mathematics - Analysis of PDEs ♦ 58J99 (Secondary) ♦ 53C07 (Primary) ♦ 53C28 ♦ 14F05 ♦ math ♦ physics:gr-qc ♦ physics:hep-th
Abstract Explicit construction of the basic SU(2) anti-instantons over the multi-Taub--NUT geometry via the classical conformal rescaling method is exhibited. These anti-instantons satisfiy the so-called weak holonomy condition at infinity with respect to the trivial flat connection and decay rapidly. The resulting unital energy anti-instantons have trivial holonomy at infinity. We also fully describe their unframed moduli space and find that it is a five dimensional space admitting a singular disk-fibration over R^3. On the way, we work out in detail the twistor space of the multi-Taub--NUT geometry together with its real structure and transform our anti-instantons into holomorphic vector bundles over the twistor space. In this picture we are able to demonstrate that our construction is complete in the sense that we have constructed a full connected component of the moduli space of solutions of the above type. We also prove that anti-instantons with arbitrary high integer energy exist on the multi-Taub--NUT space.
Description Reference: Commun.Math.Phys.301:175-214,2011
Educational Use Research
Learning Resource Type Article


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