{"title":"带拓扑项和熵函数的全息传输","authors":"Horatiu Nastase, Caio Luiz Tiedt","doi":"10.1007/s13538-024-01487-x","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we consider the effect of a topological Maxwell term <span>\\(W(\\Phi )F_{\\mu \\nu }\\tilde{F}^{\\mu \\nu }\\)</span> on holographic transport and thermodynamics in 2 + 1 dimensions, in the case with a dyonic black hole in the gravity dual. We find that for a constant <i>W</i> the modifications to the thermodynamics are easily quantified, and transport is affected only for <span>\\(\\sigma _{xy}\\)</span>. If one considers also the attractor mechanism, and writing the horizon transport in terms of charges, the transport coefficients are affected explicitly. We also introduce the case of radially dependent <i>W</i>(<i>z</i>), in which case, however, analytical calculations become very involved. We also consider the implications of the two models for the S-duality of holographic transport coefficients.</p>","PeriodicalId":499,"journal":{"name":"Brazilian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Holographic Transport with Topological Term and Entropy Function\",\"authors\":\"Horatiu Nastase, Caio Luiz Tiedt\",\"doi\":\"10.1007/s13538-024-01487-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we consider the effect of a topological Maxwell term <span>\\\\(W(\\\\Phi )F_{\\\\mu \\\\nu }\\\\tilde{F}^{\\\\mu \\\\nu }\\\\)</span> on holographic transport and thermodynamics in 2 + 1 dimensions, in the case with a dyonic black hole in the gravity dual. We find that for a constant <i>W</i> the modifications to the thermodynamics are easily quantified, and transport is affected only for <span>\\\\(\\\\sigma _{xy}\\\\)</span>. If one considers also the attractor mechanism, and writing the horizon transport in terms of charges, the transport coefficients are affected explicitly. We also introduce the case of radially dependent <i>W</i>(<i>z</i>), in which case, however, analytical calculations become very involved. We also consider the implications of the two models for the S-duality of holographic transport coefficients.</p>\",\"PeriodicalId\":499,\"journal\":{\"name\":\"Brazilian Journal of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Brazilian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s13538-024-01487-x\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Brazilian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s13538-024-01487-x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Holographic Transport with Topological Term and Entropy Function
In this paper, we consider the effect of a topological Maxwell term \(W(\Phi )F_{\mu \nu }\tilde{F}^{\mu \nu }\) on holographic transport and thermodynamics in 2 + 1 dimensions, in the case with a dyonic black hole in the gravity dual. We find that for a constant W the modifications to the thermodynamics are easily quantified, and transport is affected only for \(\sigma _{xy}\). If one considers also the attractor mechanism, and writing the horizon transport in terms of charges, the transport coefficients are affected explicitly. We also introduce the case of radially dependent W(z), in which case, however, analytical calculations become very involved. We also consider the implications of the two models for the S-duality of holographic transport coefficients.
期刊介绍:
The Brazilian Journal of Physics is a peer-reviewed international journal published by the Brazilian Physical Society (SBF). The journal publishes new and original research results from all areas of physics, obtained in Brazil and from anywhere else in the world. Contents include theoretical, practical and experimental papers as well as high-quality review papers. Submissions should follow the generally accepted structure for journal articles with basic elements: title, abstract, introduction, results, conclusions, and references.