发布求助
文献互助 智能选刊 最新文献

Communications in Number Theory and Physics最新文献

筛选
英文 中文
Integrality of the LMOV invariants for framed unknot 框架unknot的LMOV不变量的可积性
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2021-06-05 DOI: 10.4310/CNTP.2019.V13.N1.A3
Wei Luo, Shengmao Zhu
{"title":"Integrality of the LMOV invariants for framed unknot","authors":"Wei Luo, Shengmao Zhu","doi":"10.4310/CNTP.2019.V13.N1.A3","DOIUrl":"https://doi.org/10.4310/CNTP.2019.V13.N1.A3","url":null,"abstract":"The Labastida-Marin˜o-Ooguri-Vafa (LMOV) invariants are the open string BPS invariants which are expected to be integers based on the string duality conjecture from M-theory. Several explicit formulae of LMOV invariants for framed unknot have been obtained in the literature. In this paper, we present a unified method to deal with the integrality of such explicit formulae. Furthermore, we also prove the integrality of certain LMOV invariants for framed unknot in higher genera.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2021-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47521152","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 arithmetic Dijkgraaf–Witten theory 论算术Dijkgraaf–Witten理论
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2021-06-04 DOI: 10.4310/cntp.2023.v17.n1.a1
Hikaru Hirano, Junhyeong Kim, M. Morishita
{"title":"On arithmetic Dijkgraaf–Witten theory","authors":"Hikaru Hirano, Junhyeong Kim, M. Morishita","doi":"10.4310/cntp.2023.v17.n1.a1","DOIUrl":"https://doi.org/10.4310/cntp.2023.v17.n1.a1","url":null,"abstract":"We present basic constructions and properties in arithmetic Chern-Simons theory with finite gauge group along the line of topological quantum field theory. For a finite set $S$ of finite primes of a number field $k$, we construct arithmetic analogues of the Chern-Simons 1-cocycle, the prequantization bundle for a surface and the Chern-Simons functional for a $3$-manifold. We then construct arithmetic analogues for $k$ and $S$ of the quantum Hilbert space (space of conformal blocks) and the Dijkgraaf-Witten partition function in (2+1)-dimensional Chern-Simons TQFT. We show some basic and functorial properties of those arithmetic analogues. Finally we show decomposition and gluing formulas for arithmetic Chern-Simons invariants and arithmetic Dijkgraaf-Witten partition functions.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2021-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48289179","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
Graphical functions in even dimensions 偶维的图形函数
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2021-05-11 DOI: 10.4310/CNTP.2022.v16.n3.a3
M. Borinsky, O. Schnetz
{"title":"Graphical functions in even dimensions","authors":"M. Borinsky, O. Schnetz","doi":"10.4310/CNTP.2022.v16.n3.a3","DOIUrl":"https://doi.org/10.4310/CNTP.2022.v16.n3.a3","url":null,"abstract":". Graphical functions are special position space Feynman integrals, which can be used to calculate Feynman periods and one- or two-scale processes at high loop orders. With graphical functions, renormalization constants have been calculated to loop orders seven and eight in four-dimensional φ 4 theory and to order five in six-dimensional φ 3 theory. In this article we present the theory of graphical functions in even dimensions ≥ 4 with detailed reviews of known properties and full proofs whenever possible.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46554856","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: 17
Elliptic threefolds with high Mordell–Weil rank 椭圆型三层，具有较高的莫德尔-韦尔秩
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2021-05-06 DOI: 10.4310/cntp.2022.v16.n4.a3
A. Grassi, T. Weigand
{"title":"Elliptic threefolds with high Mordell–Weil rank","authors":"A. Grassi, T. Weigand","doi":"10.4310/cntp.2022.v16.n4.a3","DOIUrl":"https://doi.org/10.4310/cntp.2022.v16.n4.a3","url":null,"abstract":"We present the first examples of smooth elliptic Calabi-Yau threefolds with Mordell-Weil rank 10, the highest currently known value. They are given by the Schoen threefolds introduced by Namikawa; there are six isolated fibers of Kodaira Type IV. We explicitly compute the Shioda homomorphism for the generators of the Mordell-Weil group and their induced height pairing. Compactification of F-theory on these threefolds gives an effective theory in six dimensions which contains ten abelian gauge group factors. We compute the massless matter spectrum. In particular, we show that the charged singlet matter need not reside at enhancement loci of Type $I_2$, as previously believed. We relate the multiplicities of the massless spectrum to genus-zero Gopakumar-Vafa invariants and other geometric quantities of the Calabi-Yau. We show that the gravitational and abelian anomaly cancellation conditions are satisfied. We prove a Geometric Anomaly Cancellation equation and we deduce birational equivalence for the quantities in the spectrum. We explicitly describe a Weierstrass model over $mathbb P^2$ of the Calabi-Yau threefolds as a log canonical model and compare it to a construction by Elkies and classical results of Burkhardt.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2021-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48654758","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: 4
Berezin–Toeplitz quantization in real polarizations with toric singularities 复曲面奇异实极化中的Berezin–Toeplitz量子化
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2021-05-06 DOI: 10.4310/cntp.2022.v16.n4.a6
N. Leung, Y. Yau
{"title":"Berezin–Toeplitz quantization in real polarizations with toric singularities","authors":"N. Leung, Y. Yau","doi":"10.4310/cntp.2022.v16.n4.a6","DOIUrl":"https://doi.org/10.4310/cntp.2022.v16.n4.a6","url":null,"abstract":"On a compact K\"ahler manifold $X$, Toeplitz operators determine a deformation quantization $(operatorname{C}^infty(X, mathbb{C})[[hbar]], star)$ with separation of variables [10] with respect to transversal complex polarizations $T^{1, 0}X, T^{0, 1}X$ as $hbar to 0^+$ [15]. The analogous statement is proved for compact symplectic manifolds with transversal non-singular real polarizations [13]. In this paper, we establish the analogous result for transversal singular real polarizations on compact toric symplectic manifolds $X$. Due to toric singularities, half-form correction and localization of our Toeplitz operators are essential. Via norm estimations, we show that these Toeplitz operators determine a star product on $X$ as $hbar to 0^+$.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2021-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46945315","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
Vertex operator algebras of rank $2$: The Mathur–Mukhi–Sen theorem revisited 秩$2$的顶点算子代数:对mathur1 - mukhi - sen定理的再考察
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2021-01-01 DOI: 10.4310/cntp.2021.v15.n1.a2
G. Mason, K. Nagatomo, Yuichi Sakai
{"title":"Vertex operator algebras of rank $2$: The Mathur–Mukhi–Sen theorem revisited","authors":"G. Mason, K. Nagatomo, Yuichi Sakai","doi":"10.4310/cntp.2021.v15.n1.a2","DOIUrl":"https://doi.org/10.4310/cntp.2021.v15.n1.a2","url":null,"abstract":"","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":"15 1","pages":"59-90"},"PeriodicalIF":1.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70423039","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: 5
Wrońskian algebra and Broadhurst–Roberts quadratic relations Wrońskian代数与Broadhurst–Roberts二次关系
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-12-07 DOI: 10.4310/CNTP.2021.v15.n4.a1
Yajun Zhou
{"title":"Wrońskian algebra and Broadhurst–Roberts quadratic relations","authors":"Yajun Zhou","doi":"10.4310/CNTP.2021.v15.n4.a1","DOIUrl":"https://doi.org/10.4310/CNTP.2021.v15.n4.a1","url":null,"abstract":"Through algebraic manipulations on Wronskian matrices whose entries are reducible to Bessel moments, we present a new analytic proof of the quadratic relations conjectured by Broadhurst and Roberts, along with some generalizations. In the Wronskian framework, we reinterpret the de Rham intersection pairing through polynomial coefficients in Vanhove's differential operators, and compute the Betti intersection pairing via linear sum rules for on-shell and off-shell Feynman diagrams at threshold momenta. From the ideal generated by Broadhurst--Roberts quadratic relations, we derive new non-linear sum rules for on-shell Feynman diagrams, including an infinite family of determinant identities that are compatible with Deligne's conjectures for critical values of motivic $L$-functions.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2020-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45095162","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: 5
Identities among higher genus modular graph tensors 高亏格模图张量之间的恒等式
IF 1.9 3区 数学
Communications in Number Theory and Physics Pub Date : 2020-10-02 DOI: 10.4310/cntp.2022.v16.n1.a2
E. D'hoker, O. Schlotterer
{"title":"Identities among higher genus modular graph tensors","authors":"E. D'hoker, O. Schlotterer","doi":"10.4310/cntp.2022.v16.n1.a2","DOIUrl":"https://doi.org/10.4310/cntp.2022.v16.n1.a2","url":null,"abstract":"Higher genus modular graph tensors map Feynman graphs to functions on the Torelli space of genus-$h$ compact Riemann surfaces which transform as tensors under the modular group $Sp(2h , mathbb Z)$, thereby generalizing a construction of Kawazumi. An infinite family of algebraic identities between one-loop and tree-level modular graph tensors are proven for arbitrary genus and arbitrary tensorial rank. We also derive a family of identities that apply to modular graph tensors of higher loop order.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2020-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46657233","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: 11
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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信