Pub Date : 2018-09-11DOI: 10.1142/9789813233409_0004
{"title":"Interactions of Higher Spin Fields in Larger String Theory","authors":"","doi":"10.1142/9789813233409_0004","DOIUrl":"https://doi.org/10.1142/9789813233409_0004","url":null,"abstract":"","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131019712","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}
Pub Date : 2018-09-11DOI: 10.1142/9789813233409_0005
{"title":"Bosonic Strings, Background Independence and Analytic Solutions","authors":"","doi":"10.1142/9789813233409_0005","DOIUrl":"https://doi.org/10.1142/9789813233409_0005","url":null,"abstract":"","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131203923","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}
Pub Date : 2018-09-11DOI: 10.1142/9789813233409_0003
{"title":"Higher Spin Dynamics in a Larger String Theory","authors":"","doi":"10.1142/9789813233409_0003","DOIUrl":"https://doi.org/10.1142/9789813233409_0003","url":null,"abstract":"","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121587796","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}
Pub Date : 2018-09-11DOI: 10.1142/9789813233409_fmatter
{"title":"FRONT MATTER","authors":"","doi":"10.1142/9789813233409_fmatter","DOIUrl":"https://doi.org/10.1142/9789813233409_fmatter","url":null,"abstract":"","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133160444","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}
Pub Date : 2018-09-11DOI: 10.1142/9789813233409_0002
{"title":"Geometry of Superconformal Moduli in Superstring Theory","authors":"","doi":"10.1142/9789813233409_0002","DOIUrl":"https://doi.org/10.1142/9789813233409_0002","url":null,"abstract":"","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123131768","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}
Pub Date : 2018-09-11DOI: 10.1142/9789813233409_bmatter
{"title":"BACK MATTER","authors":"","doi":"10.1142/9789813233409_bmatter","DOIUrl":"https://doi.org/10.1142/9789813233409_bmatter","url":null,"abstract":"","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128493802","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}
Pub Date : 2018-09-11DOI: 10.1142/9789813233409_0006
{"title":"Higher Spins as Rolling Tachyons in Open String Field Theory","authors":"","doi":"10.1142/9789813233409_0006","DOIUrl":"https://doi.org/10.1142/9789813233409_0006","url":null,"abstract":"","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121780384","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}
Pub Date : 2018-09-11DOI: 10.1142/9789813233409_0001
{"title":"Introduction: Massive Higher-Spin Modes in String Dynamics and Tensionless Limit","authors":"","doi":"10.1142/9789813233409_0001","DOIUrl":"https://doi.org/10.1142/9789813233409_0001","url":null,"abstract":"","PeriodicalId":187229,"journal":{"name":"String Fields, Higher Spins and Number Theory","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116795583","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}
Pub Date : 2017-02-15DOI: 10.4310/ATMP.2018.V22.N5.A4
D. Polyakov
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
{"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}
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