Energy bound for kapustin–witten solutions on S3 × R+

Naichung Conan Leung; Ryosuke Takahashi

doi:10.1093/IMRN/RNY198

Energy bound for kapustin–witten solutions on S³ × R⁺

Naichung Conan Leung
, Ryosuke Takahashi

數學系

研究成果: Article › 同行評審

1 引文斯高帕斯（Scopus）

摘要

We show that for solutions of Kapustin–Witten equation with Nahm pole boundary condition on S³ × R⁺, there exists a universal constant bound on its Yang–Mills energy ||F_A||L2.

原文	English
頁（從 - 到）	6135-6148
頁數	14
期刊	International Mathematics Research Notices
卷	2020
發行號	19
DOIs	https://doi.org/10.1093/IMRN/RNY198
出版狀態	Published - 2020

All Science Journal Classification (ASJC) codes

一般數學

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10.1093/IMRN/RNY198

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引用此

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title = "Energy bound for kapustin–witten solutions on S3 × R+",

abstract = "We show that for solutions of Kapustin–Witten equation with Nahm pole boundary condition on S3 × R+, there exists a universal constant bound on its Yang–Mills energy ||FA||L2.",

author = "Leung, \{Naichung Conan\} and Ryosuke Takahashi",

note = "Funding Information: This work was supported by the Research Grants Council of the Hong Kong Special Administrative Region, China project no. CUHK14303516 to N.L. and a CUHK direct grant project no. 4053215 to N.L.. Publisher Copyright: {\textcopyright} The Author(s) 2018. Published by Oxford University Press. All rights reserved.",

year = "2020",

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language = "English",

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AU - Leung, Naichung Conan

AU - Takahashi, Ryosuke

N1 - Funding Information: This work was supported by the Research Grants Council of the Hong Kong Special Administrative Region, China project no. CUHK14303516 to N.L. and a CUHK direct grant project no. 4053215 to N.L.. Publisher Copyright: © The Author(s) 2018. Published by Oxford University Press. All rights reserved.

PY - 2020

Y1 - 2020

N2 - We show that for solutions of Kapustin–Witten equation with Nahm pole boundary condition on S3 × R+, there exists a universal constant bound on its Yang–Mills energy ||FA||L2.

AB - We show that for solutions of Kapustin–Witten equation with Nahm pole boundary condition on S3 × R+, there exists a universal constant bound on its Yang–Mills energy ||FA||L2.

UR - https://www.scopus.com/pages/publications/85101302334

UR - https://www.scopus.com/pages/publications/85101302334#tab=citedBy

U2 - 10.1093/IMRN/RNY198

DO - 10.1093/IMRN/RNY198

M3 - Article

AN - SCOPUS:85101302334

SN - 1073-7928

VL - 2020

SP - 6135

EP - 6148

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 19

ER -

Energy bound for kapustin–witten solutions on S3 × R+

摘要

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Energy bound for kapustin–witten solutions on S³ × R⁺