Homotopy Double Copy of Noncommutative Gauge Theories

Author:

Szabo Richard J.123,Trojani Guillaume12

Affiliation:

1. Department of Mathematics, Heriot-Watt University, Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS, UK

2. Maxwell Institute for Mathematical Sciences, The Bayes Centre, 47 Potterrow, Edinburgh EH8 9BT, UK

3. Higgs Centre for Theoretical Physics, James Clerk Maxwell Building, Kings Buildings, Mayfield Rd, Edinburgh EH9 3JZ, UK

Abstract

We discuss the double-copy formulation of Moyal–Weyl-type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of L∞-algebras. We define new noncommutative scalar field theories with rigid colour symmetries taking the role of the zeroth copy, where the deformed colour algebra plays the role of a kinematic algebra; some of these theories have a trivial classical limit but exhibit colour–kinematics duality, from which we construct the double copy theory explicitly. We show that noncommutative gauge theories exhibit a twisted form of colour–kinematics duality, which we use to show that their double copies match with the commutative case. We illustrate this explicitly for Chern–Simons theory, and for Yang–Mills theory where we obtain a modified Kawai–Lewellen–Tye relationship whose momentum kernel is linked to a binoncommutative biadjoint scalar theory. We reinterpret rank-one noncommutative gauge theories as double copy theories and discuss how our findings tie in with recent discussions of Moyal–Weyl deformations of self–dual Yang–Mills theory and gravity.

Funder

STFC

FAPESP

STFC Doctoral Training Partnership Award

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference109 articles.

1. Bern, Z., Carrasco, J.J., Chiodaroli, M., Johansson, H., and Roiban, R. (2019). The Duality between Color and Kinematics and its Applications. arXiv.

2. The SAGEX review on scattering amplitudes Chapter 2: An invitation to color-kinematics duality and the double copy;Bern;J. Phys. A,2022

3. Adamo, T., Carrasco, J.J.M., Carrillo-González, M., Chiodaroli, M., Elvang, H., Johansson, H., O’Connell, D., Roiban, R., and Schlotterer, O. (2022). Snowmass White Paper: The Double Copy and its Applications. arXiv.

4. A Relation Between Tree Amplitudes of Closed and Open Strings;Kawai;Nucl. Phys. B,1986

5. New Relations for Gauge-Theory Amplitudes;Bern;Phys. Rev. D,2008

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3