Communications in Number Theory and Physics最新文献_第3页

Modular parametrization as Polyakov path integral: cases with CM elliptic curves as target spaces 作为Polyakov路径积分的模参数化:以CM椭圆曲线为目标空间的情况

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2022-04-27 DOI: 10.4310/cntp.2022.v16.n2.a3

Satoshi Kondo, Taizan Watari

引用次数: 0

Mirror symmetry of Calabi-Yau manifolds fibered by $(1,8)$-polarized abelian surfaces 由$(1,8)$-极化阿贝尔曲面纤维的Calabi-Yau流形的镜像对称性

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2022-04-27 DOI: 10.4310/cntp.2022.v16.n2.a1

Shinobu Hosono, Hiromichi Takagi

引用次数: 0

Resurgent Stokes data for Painlevé equations and two-dimensional quantum (super) gravity painlev<s:1>方程和二维量子(超)引力的复兴Stokes数据

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2022-03-25 DOI: 10.4310/cntp.2023.v17.n2.a5

Salvatore Baldino, R. Schiappa, M. Schwick, Roberto Vega

{"title":"Resurgent Stokes data for Painlevé equations and two-dimensional quantum (super) gravity","authors":"Salvatore Baldino, R. Schiappa, M. Schwick, Roberto Vega","doi":"10.4310/cntp.2023.v17.n2.a5","DOIUrl":"https://doi.org/10.4310/cntp.2023.v17.n2.a5","url":null,"abstract":"Resurgent-transseries solutions to Painleve equations may be recursively constructed out of these nonlinear differential-equations -- but require Stokes data to be globally defined over the complex plane. Stokes data explicitly construct connection-formulae which describe the nonlinear Stokes phenomena associated to these solutions, via implementation of Stokes transitions acting on the transseries. Nonlinear resurgent Stokes data lack, however, a first-principle computational approach, hence are hard to determine generically. In the Painleve I and Painleve II contexts, nonlinear Stokes data get further hindered as these equations are resonant, with non-trivial consequences for the interconnections between transseries sectors, bridge equations, and associated Stokes coefficients. In parallel to this, the Painleve I and Painleve II equations are string-equations for two-dimensional quantum (super) gravity and minimal string theories, where Stokes data have natural ZZ-brane interpretations. This work computes for the first time the complete, analytical, resurgent Stokes data for the first two Painleve equations, alongside their quantum gravity or minimal string incarnations. The method developed herein, dubbed\"closed-form asymptotics\", makes sole use of resurgent large-order asymptotics of transseries solutions -- alongside a careful analysis of the role resonance plays. Given its generality, it may be applicable to other distinct (nonlinear, resonant) problems. Results for analytical Stokes coefficients have natural structures, which are described, and extensive high-precision numerical tests corroborate all analytical predictions. Connection-formulae are explicitly constructed, with rather simple and compact final results encoding the full Stokes data, and further allowing for exact monodromy checks -- hence for an analytical proof of our results.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42713480","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

Fourier expansions of vector-valued automorphic functions with non-unitary twists 具有非幺正扭转的向量值自同构函数的傅里叶展开式

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2022-01-12 DOI: 10.4310/CNTP.2023.v17.n1.a5

Ksenia Fedosova, A. Pohl, J. Rowlett

引用次数: 1

On quasi-tame Looijenga pairs 关于拟驯服的Looijenga对

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2022-01-05 DOI: 10.4310/cntp.2023.v17.n2.a3

A. Brini, Yannik Schuler

引用次数: 2

$T overline{T}$-deformed modular forms $Toverline{T}$-变形模块形式

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2022-01-03 DOI: 10.4310/CNTP.2022.v16.n3.a1

J. Cardy

引用次数: 0

On a class of non-simply connected Calabi-Yau $3$-folds with positive Euler characteristic 一类具有正欧拉特征的非单连通Calabi-Yau $3$-折叠

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2022-01-01 DOI: 10.4310/cntp.2022.v16.n1.a-karayayla

Tolga Karayayla

引用次数: 1

On the mixed-twist construction and monodromy of associated Picard–Fuchs systems 关于相关Picard-Fuchs系统的混合扭曲结构和单调性

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2021-08-16 DOI: 10.4310/CNTP.2022.v16.n3.a2

Andreas Malmendier, Michael T. Schultz

引用次数: 0

KP hierarchy for Hurwitz-type cohomological field theories hurwitz型上同场理论的KP层次

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2021-07-12 DOI: 10.4310/cntp.2023.v17.n2.a1

Reinier Kramer

引用次数: 2

Degeneracy and hidden symmetry for the asymmetric quantum Rabi model with integral bias 具有积分偏置的非对称量子Rabi模型的退化性和隐藏对称性

IF 1.9 3区数学

Communications in Number Theory and Physics Pub Date : 2021-06-16 DOI: 10.4310/CNTP.2022.v16.n3.a4

Cid Reyes-Bustos, M. Wakayama

{"title":"Degeneracy and hidden symmetry for the asymmetric quantum Rabi model with integral bias","authors":"Cid Reyes-Bustos, M. Wakayama","doi":"10.4310/CNTP.2022.v16.n3.a4","DOIUrl":"https://doi.org/10.4310/CNTP.2022.v16.n3.a4","url":null,"abstract":"The hidden symmetry of the asymmetric quantum Rabi model (AQRM) with a half-integral bias (ibQRM (cid:96) ) was uncovered in recent studies by the explicit construction of operators J (cid:96) commuting with the Hamiltonian. The existence of such symmetry has been widely believed to cause the degeneration of the spectrum, that is, the crossings on the energy curves. In this paper we propose a conjectural relation between the symmetry and degeneracy for the ibQRM (cid:96) given explicitly in terms of two polynomials appearing independently in the respective investigations. Concretely, one of the polynomials appears as the quotient of the constraint polynomials that assure the existence of degenerate solutions while the other determines a quadratic relation (in general, it deﬁnes a curve of hyperelliptic type) between the ibQRM (cid:96) Hamiltonian and its basic commuting operator J (cid:96) . Following this conjecture, we derive several interesting structural insights of the whole spectrum. For instance, the energy curves are naturally shown to lie on a surface determined by the family of hyperelliptic curves by considering the coupling constant as a variable. This geometric picture contains the generalization of the parity decomposition of the symmetric quantum Rabi model. Moreover, it allows us to describe a remarkable approximation of the ﬁrst (cid:96) energy curves by the zero-section of the corresponding hyperelliptic curve. These investigations naturally lead to a geometric picture of the (hyper-)elliptic surfaces given by the Kodaira-N´eron type model for a family of curves over the projective line in connection with the energy curves, which may be expected to provide a complex analytic proof of the conjecture.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42334478","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: 9