The momentum amplituhedron of SYM and ABJM from twistor-string maps
文献类型：期刊论文
| 作者 | He, Song1,3,4 ; Chia-Kai Kuo; Yao-Qi Zhang
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2022 |
| 期号 | 2页码:148 |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP02(2022)148 |
| 英文摘要 | We study remarkable connections between twistor-string formulas for tree amplitudes in N = 4 SYM and N = 6 ABJM, and the corresponding momentum amplituhedron in the kinematic space of D = 4 and D = 3, respectively. Based on the Veronese map to positive Grassmannians, we define a twistor-string map from G(+)(2, n) to a (2n-4)-dimensional subspace of the 4d kinematic space where the momentum amplituhedron of SYM lives. We provide strong evidence that the twistor-string map is a diffeomorphism from G(+)(2, n) to the interior of momentum amplituhedron; the canonical form of the latter, which is known to give tree amplitudes of SYM, can be obtained as pushforward of that of former. We then move to three dimensions: based on Veronese map to orthogonal positive Grassmannian, we propose a similar twistor-string map from the moduli space M-0,n(+) to a (n-3)-dimensional subspace of 3d kinematic space. The image gives a new positive geometry which conjecturally serves as the momentum amplituhedron for ABJM; its canonical form gives the tree amplitude with reduced supersymmetries in the theory. We also show how boundaries of compactified M-0,n(+) map to boundaries of momentum amplituhedra for SYM and ABJM corresponding to factorization channels of amplitudes, and in particular for ABJM case the map beautifully excludes all unwanted channels. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27883]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 2.Natl Taiwan Univ, Dept Phys, Taipei 10617, Taiwan 3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 5.Natl Taiwan Univ, Ctr Theoret Phys, Taipei 10617, Taiwan 6.ICTP AP Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 7.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Song,Chia-Kai Kuo,Yao-Qi Zhang. The momentum amplituhedron of SYM and ABJM from twistor-string maps[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(2):148. |
| APA | He, Song,Chia-Kai Kuo,&Yao-Qi Zhang.(2022).The momentum amplituhedron of SYM and ABJM from twistor-string maps.JOURNAL OF HIGH ENERGY PHYSICS(2),148. |
| MLA | He, Song,et al."The momentum amplituhedron of SYM and ABJM from twistor-string maps".JOURNAL OF HIGH ENERGY PHYSICS .2(2022):148. |
入库方式： OAI收割
来源：理论物理研究所
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