String Fields, Higher Spins and Number Theory最新文献

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Interactions of Higher Spin Fields in Larger String Theory 大弦理论中高自旋场的相互作用
String Fields, Higher Spins and Number Theory Pub Date : 2018-09-11 DOI: 10.1142/9789813233409_0004
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引用次数: 0
Bosonic Strings, Background Independence and Analytic Solutions 玻色子弦,背景独立性和解析解
String Fields, Higher Spins and Number Theory Pub Date : 2018-09-11 DOI: 10.1142/9789813233409_0005
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引用次数: 0
Higher Spin Dynamics in a Larger String Theory 大弦理论中的高自旋动力学
String Fields, Higher Spins and Number Theory Pub Date : 2018-09-11 DOI: 10.1142/9789813233409_0003
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引用次数: 0
FRONT MATTER 前页
String Fields, Higher Spins and Number Theory Pub Date : 2018-09-11 DOI: 10.1142/9789813233409_fmatter
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引用次数: 0
Geometry of Superconformal Moduli in Superstring Theory 超弦理论中超共形模的几何
String Fields, Higher Spins and Number Theory Pub Date : 2018-09-11 DOI: 10.1142/9789813233409_0002
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引用次数: 0
BACK MATTER 回到问题
String Fields, Higher Spins and Number Theory Pub Date : 2018-09-11 DOI: 10.1142/9789813233409_bmatter
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引用次数: 0
Higher Spins as Rolling Tachyons in Open String Field Theory 开弦场论中作为滚动速子的高自旋
String Fields, Higher Spins and Number Theory Pub Date : 2018-09-11 DOI: 10.1142/9789813233409_0006
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引用次数: 0
Introduction: Massive Higher-Spin Modes in String Dynamics and Tensionless Limit 简介:弦动力学中的大量高自旋模式和无张力极限
String Fields, Higher Spins and Number Theory Pub Date : 2018-09-11 DOI: 10.1142/9789813233409_0001
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引用次数: 0
An Analytic Formula for Numbers of Restricted Partitions from Conformal Field Theory 保形场论中限制分区数的解析公式
String Fields, Higher Spins and Number Theory Pub Date : 2017-02-15 DOI: 10.4310/ATMP.2018.V22.N5.A4
D. Polyakov
{"title":"An Analytic Formula for Numbers of Restricted Partitions from Conformal Field Theory","authors":"D. Polyakov","doi":"10.4310/ATMP.2018.V22.N5.A4","DOIUrl":"https://doi.org/10.4310/ATMP.2018.V22.N5.A4","url":null,"abstract":"We study the correlators of irregular vertex operators in two-dimensional conformal field theory (CFT) in order to propose an exact analytic formula for calculating numbers of partitions, that is: 1) for given $N,k$, finding the total number $lambda(N|k)$ of length $k$ partitions of $N$: $N=n_1+...+n_k;0<n_1leq{n_2}...leq{n_k}$. 2) finding the total number $lambda(N)=sum_{k=1}^Nlambda(N|k)$ of partitions of a natural number $N$ We propose an exact analytic expression for $lambda(N|k)$ by relating two-point short-distance correlation functions of irregular vertex operators in $c=1$ conformal field theory ( the form of the operators is established in this paper): with the first correlator counting the partitions in the upper half-plane and the second one obtained from the first correlator by conformal transformations of the form $f(z)=h(z)e^{-{iover{z}}}$ where $h(z)$ is regular and non-vanishing at $z=0$. The final formula for $lambda(N|k)$ is given in terms of regularized ($epsilon$-ordered) finite series in the generalized higher-derivative Schwarzians and incomplete Bell polynomials of the above conformal transformation at $z=iepsilon$ ($epsilonrightarrow{0}$)","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130674982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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