Twistor constructions for higher-spin extensions of (self-dual) Yang-Mills

被引：22

作者：

Tran, Tung ^{[1
]}

机构：

[1] Univ Mons, Serv Phys Univers Champs & Gravitat, 20 Pl Parc, B-7000 Mons, Belgium

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 2021卷 / 11期

关键词：

Higher Spin Gravity; Integrable Field Theories; Topological Field Theories; CONFORMAL HIGHER SPIN; MASSLESS HIGHER SPINS; STRING THEORY;

D O I：

10.1007/JHEP11(2021)117

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present the inverse Penrose transform (the map from spacetime to twistor space) for self-dual Yang-Mills (SDYM) and its higher-spin extensions on a flat background. The twistor action for the higher-spin extension of SDYM (HS-SDYM) is of BT-type. By considering a deformation away from the self-dual sector of HS-SDYM, we discover a new action that describes a higher-spin extension of Yang-Mills theory (HS-YM). The twistor action for HS-YM is a straightforward generalization of the Yang-Mills one.

引用

页数：23

共 29 条

[21] Dirac constraint analysis and symplectic structure of anti-self-dual Yang-Mills equations
Camci, U.
Can, Z.
Nutku, Y.
Sucu, Y.
Yazici, D.
PRAMANA-JOURNAL OF PHYSICS, 2006, 67 (06): : 1043 - 1053
[22] Dirac constraint analysis and symplectic structure of anti-self-dual Yang-Mills equations
U Camci
Z Can
Y Nutku
Y Sucu
D Yazici
Pramana, 2006, 67 : 1043 - 1053
[23] Determinants in self-dual N=4 SYM and twistor space
Caron-Huot, Simon
Coronado, Frank
Muehlmann, Beatrix
JOURNAL OF HIGH ENERGY PHYSICS, 2023, (08):
[24] Higher-spin self-dual General Relativity: 6d and 4d pictures, covariant vs. lightcone
Neiman, Yasha
JOURNAL OF HIGH ENERGY PHYSICS, 2024, (07):
[25] Integrable open spin chain in super Yang-Mills and the plane-wave/SYM duality
Chen, B
Wang, XJ
Wu, YS
JOURNAL OF HIGH ENERGY PHYSICS, 2004, (02):
[26] Hermitian Yang-Mills equations and pseudo-holomorphic bundles on nearly Kahler and nearly Calabi-Yau twistor 6-manifolds
Popov, Alexander D.
NUCLEAR PHYSICS B, 2010, 828 (03) : 594 - 624
[27] Fractional spins, unfolding, and holography. Part I. Parent field equations for dual higher-spin gravity reductions
Felipe Diaz
Carlo Iazeolla
Per Sundell
Journal of High Energy Physics, 2024 (9)
[28] N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 2 supersymmetry in the twistor description of higher-spin holography
Julian Lang
Yasha Neiman
Journal of High Energy Physics, 2024 (5)
[29] Determinants in self-dual N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 4 SYM and twistor space
Simon Caron-Huot
Frank Coronado
Beatrix Mühlmann
Journal of High Energy Physics, 2023 (8)

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