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Communications in Number Theory and Physics最新文献

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Graph complexes and Feynman rules 图复形与Feynman规则
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-08-21 DOI: 10.4310/CNTP.2023.v17.n1.a4
Marko Berghoff, D. Kreimer
{"title":"Graph complexes and Feynman rules","authors":"Marko Berghoff, D. Kreimer","doi":"10.4310/CNTP.2023.v17.n1.a4","DOIUrl":"https://doi.org/10.4310/CNTP.2023.v17.n1.a4","url":null,"abstract":"We investigate Feynman graphs and their Feynman rules from the viewpoint of graph complexes. We focus on graph homology and on the appearance of cubical complexes when either reducing internal edges or when removing them by putting them on the massshell.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2020-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41810219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Unipotent extensions and differential equations (after Bloch–Vlasenko) 一元扩张与微分方程（Bloch–Vlasenko之后）
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-08-08 DOI: 10.4310/cntp.2022.v16.n4.a5
M. Kerr
{"title":"Unipotent extensions and differential equations (after Bloch–Vlasenko)","authors":"M. Kerr","doi":"10.4310/cntp.2022.v16.n4.a5","DOIUrl":"https://doi.org/10.4310/cntp.2022.v16.n4.a5","url":null,"abstract":"S. Bloch and M. Vlasenko recently introduced a theory of emph{motivic Gamma functions}, given by periods of the Mellin transform of a geometric variation of Hodge structure, which they tie to the monodromy and asymptotic behavior of certain unipotent extensions of the variation. Here we further examine these Gamma functions and the related emph{Apery and Frobenius invariants} of a VHS, and establish a relationship to motivic cohomology and solutions to inhomogeneous Picard-Fuchs equations.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2020-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44943491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
On generalized stuffle relations between cell-zeta values 关于胞-zeta值之间的广义填充关系
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-08-03 DOI: 10.4310/cntp.2023.v17.n1.a2
N. Markarian
{"title":"On generalized stuffle relations between cell-zeta values","authors":"N. Markarian","doi":"10.4310/cntp.2023.v17.n1.a2","DOIUrl":"https://doi.org/10.4310/cntp.2023.v17.n1.a2","url":null,"abstract":"We introduce a family of linear relations between cell-zeta values that have a form similar to product map relations and jointly with them imply stuffle relations between multiple zeta values.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2020-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48190869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Fibers over infinity of Landau–Ginzburg models 朗多-金兹堡模型的无穷远上的纤维
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-05-04 DOI: 10.4310/cntp.2022.v16.n4.a1
I. Cheltsov, V. Przyjalkowski
{"title":"Fibers over infinity of Landau–Ginzburg models","authors":"I. Cheltsov, V. Przyjalkowski","doi":"10.4310/cntp.2022.v16.n4.a1","DOIUrl":"https://doi.org/10.4310/cntp.2022.v16.n4.a1","url":null,"abstract":"We conjecture that the number of components of the fiber over infinity of Landau--Ginzburg model for a smooth Fano variety $X$ equals the dimension of the anticanonical system of $X$. We verify this conjecture for log Calabi--Yau compactifications of toric Landau--Ginzburg models for smooth Fano threefolds, complete intersections, and some toric varieties.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2020-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43545307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Resurgent expansion of Lambert series and iterated Eisenstein integrals Lambert级数的复活展开与迭代Eisenstein积分
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-01-29 DOI: 10.4310/cntp.2021.v15.n1.a1
Daniele Dorigoni, A. Kleinschmidt
{"title":"Resurgent expansion of Lambert series and iterated Eisenstein integrals","authors":"Daniele Dorigoni, A. Kleinschmidt","doi":"10.4310/cntp.2021.v15.n1.a1","DOIUrl":"https://doi.org/10.4310/cntp.2021.v15.n1.a1","url":null,"abstract":"We consider special Lambert series as generating functions of divisor sums and determine their complete transseries expansion near rational roots of unity. Our methods also yield new insights into the Laurent expansions and modularity properties of iterated Eisenstein integrals that have recently attracted attention in the context of certain period integrals and string theory scattering amplitudes.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2020-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49341930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Green’s functions for Vladimirov derivatives and Tate’s thesis Vladimirov导数的Green函数与Tate论文
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-01-06 DOI: 10.4310/cntp.2021.v15.n2.a3
An Huang, Bogdan Stoica, S. Yau, X. Zhong
{"title":"Green’s functions for Vladimirov derivatives and Tate’s thesis","authors":"An Huang, Bogdan Stoica, S. Yau, X. Zhong","doi":"10.4310/cntp.2021.v15.n2.a3","DOIUrl":"https://doi.org/10.4310/cntp.2021.v15.n2.a3","url":null,"abstract":"Given a number field $K$ with a Hecke character $chi$, for each place $nu$ we study the free scalar field theory whose kinetic term is given by the regularized Vladimirov derivative associated to the local component of $chi$. These theories appear in the study of $p$-adic string theory and $p$-adic AdS/CFT correspondence. We prove a formula for the regularized Vladimirov derivative in terms of the Fourier conjugate of the local component of $chi$. We find that the Green's function is given by the local functional equation for Zeta integrals. Furthermore, considering all places $nu$, the CFT two-point functions corresponding to the Green's functions satisfy an adelic product formula, which is equivalent to the global functional equation for Zeta integrals. In particular, this points out a role of Tate's thesis in adelic physics.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2020-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49487807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Vertex operator algebras with central charges 164/5 and 236/7 中心电荷为164/5和236/7的顶点算子代数
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-01-01 DOI: 10.4310/cntp.2020.v14.n3.a2
Yusuke Arike, K. Nagatomo
{"title":"Vertex operator algebras with central charges 164/5 and 236/7","authors":"Yusuke Arike, K. Nagatomo","doi":"10.4310/cntp.2020.v14.n3.a2","DOIUrl":"https://doi.org/10.4310/cntp.2020.v14.n3.a2","url":null,"abstract":"","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":"14 1","pages":"487-509"},"PeriodicalIF":1.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70422968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Amplitude recursions with an extra marked point 带额外标记点的振幅递归
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2019-12-20 DOI: 10.4310/CNTP.2022.v16.n1.a3
Johannes Broedel, Andr'e Kaderli
{"title":"Amplitude recursions with an extra marked point","authors":"Johannes Broedel, Andr'e Kaderli","doi":"10.4310/CNTP.2022.v16.n1.a3","DOIUrl":"https://doi.org/10.4310/CNTP.2022.v16.n1.a3","url":null,"abstract":"The recursive calculation of Selberg integrals by Aomoto and Terasoma using the Knizhnik-Zamolodchikov equation and the Drinfeld associator makes use of an auxiliary point and facilitates the recursive evaluation of string amplitudes at genus zero: open-string N-point amplitudes can be obtained from those at N-1 points. We establish a similar formalism at genus one, which allows the recursive calculation of genus-one Selberg integrals using an extra marked point in a differential equation of Knizhnik-Zamolodchikov-Bernard type. Hereby genus-one Selberg integrals are related to genus-zero Selberg integrals. Accordingly, N-point open-string amplitudes at genus one can be obtained from (N+2)-point open-string amplitudes at tree level. The construction is related to and in accordance with various recent results in intersection theory and string theory.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2019-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44419038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Orthosymplectic Satake equivalence 正交辛Satake等价
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2019-12-04 DOI: 10.4310/CNTP.2022.v16.n4.a2
A. Braverman, M. Finkelberg, Roman Travkin
{"title":"Orthosymplectic Satake equivalence","authors":"A. Braverman, M. Finkelberg, Roman Travkin","doi":"10.4310/CNTP.2022.v16.n4.a2","DOIUrl":"https://doi.org/10.4310/CNTP.2022.v16.n4.a2","url":null,"abstract":"This is a companion paper of arXiv:1909.11492. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of $SO(N-1,{mathbb C}[![t]!])$-equivariant perverse sheaves on the affine Grassmannian of $SO_N$. We explain how this equivalence fits into a more general framework of conjectures due to Gaiotto and to Ben-Zvi, Sakellaridis and Venkatesh.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2019-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48510785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
On the fundamental group of open Richardson varieties 论开Richardson变的基本群
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2019-11-26 DOI: 10.4310/cntp.2023.v17.n1.a3
Changzheng Li, F. Sottile, Chi Zhang
{"title":"On the fundamental group of open Richardson varieties","authors":"Changzheng Li, F. Sottile, Chi Zhang","doi":"10.4310/cntp.2023.v17.n1.a3","DOIUrl":"https://doi.org/10.4310/cntp.2023.v17.n1.a3","url":null,"abstract":"We compute the fundamental group of an open Richardson variety in the manifold of complete flags that corresponds to a partial flag manifold. Rietsch showed that these log Calabi-Yau varieties underlie a Landau-Ginzburg mirror for the Langlands dual partial flag manifold, and our computation verifies a prediction of Hori for this mirror. It is log Calabi-Yau as it isomorphic to the complement of the Knutson-Lam-Speyer anti-canonical divisor for the partial flag manifold. We also determine explicit defining equations for this divisor.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2019-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41286766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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