Yang-Yang functions, monodromy and knot polynomials

doi:10.1007/JHEP03(2021)033

	Yang-Yang functions, monodromy and knot polynomials
	Liu, Peng 2; Ruan, Wei-Dong 1
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2021-03-02
期号	3 页码:41
关键词	Chern-Simons Theories Quantum Groups Spontaneous Symmetry Breaking Wilson 't Hooft and Polyakov loops
ISSN号	1029-8479
DOI	10.1007/JHEP03(2021)033
英文摘要	We derive a structure of Z[t, t(-1)]-module bundle from a family of Yang-Yang functions. For the fundamental representation of the complex simple Lie algebra of classical type, we give explicit wall-crossing formula and prove that the monodromy representation of the Z[t, t(-1)]-module bundle is equivalent to the braid group representation induced by the universal R-matrices of U-h(g). We show that two transformations induced on the fiber by the symmetry breaking deformation and respectively the rotation of two complex parameters commute with each other.
WOS研究方向	Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000625598400007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58321]
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Peng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 10010, Peoples R China
推荐引用方式 GB/T 7714	Liu, Peng,Ruan, Wei-Dong. Yang-Yang functions, monodromy and knot polynomials[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(3):41.
APA	Liu, Peng,&Ruan, Wei-Dong.(2021).Yang-Yang functions, monodromy and knot polynomials.JOURNAL OF HIGH ENERGY PHYSICS(3),41.
MLA	Liu, Peng,et al."Yang-Yang functions, monodromy and knot polynomials".JOURNAL OF HIGH ENERGY PHYSICS .3(2021):41.