Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra

doi:10.1007/JHEP10(2020)054

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	Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra
	He, Song 1; Li, Zhenjie 1; Raman, Prashanth 2,3; Zhang, Chi 1
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2020
期号	10 页码:54
关键词	INTEGRALS
ISSN号	1029-8479
DOI	10.1007/JHEP10(2020)054
英文摘要	Stringy canonical forms are a class of integrals that provide alpha ' -deformations of the canonical form of any polytopes. For generalized associahedra of finite-type cluster algebras, there exist completely rigid stringy integrals, whose configuration spaces are the so-called binary geometries, and for classical types are associated with (generalized) scattering of particles and strings. In this paper, we propose a large class of rigid stringy canonical forms for another class of polytopes, generalized permutohedra, which also include associahedra and cyclohedra as special cases (type A(n) and B-n generalized associahedra). Remarkably, we find that the configuration spaces of such integrals are also binary geometries, which were suspected to exist for generalized associahedra only. For any generalized permutohedron that can be written as Minkowski sum of coordinate simplices, we show that its rigid stringy integral factorizes into products of lower integrals for massless poles at finite alpha ', and the configuration space is binary although the u equations take a more general form than those "perfect" ones for cluster cases. Moreover, we provide an infinite class of examples obtained by degenerations of type A(n) and B-n integrals, which have perfect u equations as well. Our results provide yet another family of generalizations of the usual string integral and moduli space, whose physical interpretations remain to be explored.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27490]
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.Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 3.Inst Math Sci, Chennai 600113, Tamil Nadu, India 4.Homi Bhabha Natl Inst, Mumbai 400085, Maharashtra, India
推荐引用方式 GB/T 7714	He, Song,Li, Zhenjie,Raman, Prashanth,et al. Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra[J]. JOURNAL OF HIGH ENERGY PHYSICS,2020(10):54.
APA	He, Song,Li, Zhenjie,Raman, Prashanth,&Zhang, Chi.(2020).Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra.JOURNAL OF HIGH ENERGY PHYSICS(10),54.
MLA	He, Song,et al."Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra".JOURNAL OF HIGH ENERGY PHYSICS .10(2020):54.