Narain CFTs景观

IF 7.8 3区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Fortschritte Der Physik-Progress of Physics Pub Date : 2025-09-08 DOI:10.1002/prop.70029

Rajae Sammani, El Hassan Saidi, Rachid Ahl Laamara, Lalla Btissam Drissi

{"title":"Narain CFTs景观","authors":"Rajae Sammani, El Hassan Saidi, Rachid Ahl Laamara, Lalla Btissam Drissi","doi":"10.1002/prop.70029","DOIUrl":null,"url":null,"abstract":"In this work, the <math>\n <semantics>\n <msub>\n <mi>AdS</mi>\n <mn>3</mn>\n </msub>\n <annotation>${\\rm AdS}_{3}$</annotation>\n </semantics></math> gravitational bulk dual to an ensemble of Narain CFTs and their generalisations is investigated to establish bounds consistent with the Swampland program. Focusing on the AdS distance and finiteness conjectures, the central charge of Narain CFTs forming the ensemble is shown to be finite. Combining anomaly and unitary requirements, an upper bound on the rank of the abelian U(1) gauge symmetries that can consistently couple to the <math>\n <semantics>\n <msub>\n <mi>AdS</mi>\n <mn>3</mn>\n </msub>\n <annotation>${\\rm AdS}_{3}$</annotation>\n </semantics></math> gravity is derived. Explicit realisations are given of these constraints by determining the range of the Chern–Simons level <math>\n <semantics>\n <msup>\n <mi>k</mi>\n <mi>G</mi>\n </msup>\n <annotation>$k^{G}$</annotation>\n </semantics></math> corresponding to a bounded <math>\n <semantics>\n <msub>\n <mi>AdS</mi>\n <mn>3</mn>\n </msub>\n <annotation>${\\rm AdS}_{3}$</annotation>\n </semantics></math> radius. Accordingly, the Narain landscape is finite with a number of admissible CFTs constrained as <math>\n <semantics>\n <mrow>\n <mn>3</mn>\n <mo>/</mo>\n <mn>2</mn>\n <mo>≲</mo>\n <mi>c</mi>\n <mo>≲</mo>\n <msup>\n <mn>10</mn>\n <mn>3</mn>\n </msup>\n </mrow>\n <annotation>$3/2\\lesssim c\\lesssim 10^{3}$</annotation>\n </semantics></math>.","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 9-10","pages":""},"PeriodicalIF":7.8000,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Landscape of Narain CFTs\",\"authors\":\"Rajae Sammani, El Hassan Saidi, Rachid Ahl Laamara, Lalla Btissam Drissi\",\"doi\":\"10.1002/prop.70029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, the <math>\\n <semantics>\\n <msub>\\n <mi>AdS</mi>\\n <mn>3</mn>\\n </msub>\\n <annotation>${\\\\rm AdS}_{3}$</annotation>\\n </semantics></math> gravitational bulk dual to an ensemble of Narain CFTs and their generalisations is investigated to establish bounds consistent with the Swampland program. Focusing on the AdS distance and finiteness conjectures, the central charge of Narain CFTs forming the ensemble is shown to be finite. Combining anomaly and unitary requirements, an upper bound on the rank of the abelian U(1) gauge symmetries that can consistently couple to the <math>\\n <semantics>\\n <msub>\\n <mi>AdS</mi>\\n <mn>3</mn>\\n </msub>\\n <annotation>${\\\\rm AdS}_{3}$</annotation>\\n </semantics></math> gravity is derived. Explicit realisations are given of these constraints by determining the range of the Chern–Simons level <math>\\n <semantics>\\n <msup>\\n <mi>k</mi>\\n <mi>G</mi>\\n </msup>\\n <annotation>$k^{G}$</annotation>\\n </semantics></math> corresponding to a bounded <math>\\n <semantics>\\n <msub>\\n <mi>AdS</mi>\\n <mn>3</mn>\\n </msub>\\n <annotation>${\\\\rm AdS}_{3}$</annotation>\\n </semantics></math> radius. Accordingly, the Narain landscape is finite with a number of admissible CFTs constrained as <math>\\n <semantics>\\n <mrow>\\n <mn>3</mn>\\n <mo>/</mo>\\n <mn>2</mn>\\n <mo>≲</mo>\\n <mi>c</mi>\\n <mo>≲</mo>\\n <msup>\\n <mn>10</mn>\\n <mn>3</mn>\\n </msup>\\n </mrow>\\n <annotation>$3/2\\\\lesssim c\\\\lesssim 10^{3}$</annotation>\\n </semantics></math>.\",\"PeriodicalId\":55150,\"journal\":{\"name\":\"Fortschritte Der Physik-Progress of Physics\",\"volume\":\"73 9-10\",\"pages\":\"\"},\"PeriodicalIF\":7.8000,\"publicationDate\":\"2025-09-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fortschritte Der Physik-Progress of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/prop.70029\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fortschritte Der Physik-Progress of Physics","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/prop.70029","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了Narain CFTs系综的ad3 ${\rm AdS}_{3}$引力体对偶及其推广，以建立与Swampland程序相一致的界。在AdS距离和有限猜想的基础上，证明了形成系综的Narain CFTs的中心电荷是有限的。结合异常要求和酉性要求，导出了能与AdS 3 ${\rm AdS}_{3}$引力一致耦合的阿贝尔U(1)规范对称的秩上界。通过确定有界AdS 3 ${\rm AdS}_{3}$半径对应的chen - simons能级k G $k^{G}$的范围，给出了这些约束的显式实现。因此，Narain景观是有限的，允许的CFTs数被约束为3/2 > c > 10 3 $3/2\lesssim c\lesssim 10^{3}$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Landscape of Narain CFTs

查看原文本刊更多论文

Landscape of Narain CFTs

In this work, the ${AdS}_{3}$ gravitational bulk dual to an ensemble of Narain CFTs and their generalisations is investigated to establish bounds consistent with the Swampland program. Focusing on the AdS distance and finiteness conjectures, the central charge of Narain CFTs forming the ensemble is shown to be finite. Combining anomaly and unitary requirements, an upper bound on the rank of the abelian U(1) gauge symmetries that can consistently couple to the ${AdS}_{3}$ gravity is derived. Explicit realisations are given of these constraints by determining the range of the Chern–Simons level $k^{G}$ corresponding to a bounded ${AdS}_{3}$ radius. Accordingly, the Narain landscape is finite with a number of admissible CFTs constrained as $3 / 2 ≲ c ≲ 10^{3}$ .

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Fortschritte Der Physik-Progress of Physics 物理-物理：综合

CiteScore

6.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Fortschritte der Physik - Progress of Physics is a pure online Journal (since 2013). Fortschritte der Physik - Progress of Physics is devoted to the theoretical and experimental studies of fundamental constituents of matter and their interactions e. g. elementary particle physics, classical and quantum field theory, the theory of gravitation and cosmology, quantum information, thermodynamics and statistics, laser physics and nonlinear dynamics, including chaos and quantum chaos. Generally the papers are review articles with a detailed survey on relevant publications, but original papers of general interest are also published.