Exact multi-instanton solutions to self-dual Yang–Mills equation on curved spaces

Nian, Jun; Qian, Yachao

doi:10.1142/s0217751x21501323

Exact multi-instanton solutions to self-dual Yang–Mills equation on curved spaces

Journal Article · Tue Jun 15 00:00:00 EDT 2021 · International Journal of Modern Physics A

DOI:https://doi.org/10.1142/s0217751x21501323· OSTI ID:1864512

^[1]; Qian, Yachao ^[2]

Univ. of Michigan, Ann Arbor, MI (United States); University of Michigan, Ann Arbor MI
Stony Brook Univ., NY (United States)

We find exact multi-instanton solutions to the self-dual Yang–Mills equation on a large class of curved spaces with SO(3) isometry, generalizing the results previously found on R⁴. Here, the solutions are featured with explicit multi-centered expressions and topological properties. As examples, we demonstrate the approach on several different curved spaces, including the Einstein static universe and R × dS$$^{E}_{3}$$, and show that the exact multi-instanton solutions exist on these curved backgrounds.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0007859

OSTI ID:: 1864512

Alternate ID(s):: OSTI ID: 1851017

Journal Information:: International Journal of Modern Physics A, Journal Name: International Journal of Modern Physics A Journal Issue: 17 Vol. 36; ISSN 0217-751X

Publisher:: World ScientificCopyright Statement

Country of Publication:: United States

Language:: English

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