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Proceedings of XV Modave Summer School in Mathematical Physics — PoS(Modave2019)最新文献

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How to Construct a Holographic EFT for Phonons 如何构建声子全息电子场
Proceedings of XV Modave Summer School in Mathematical Physics — PoS(Modave2019) Pub Date : 2020-04-07 DOI: 10.22323/1.384.0001
A. Amoretti
{"title":"How to Construct a Holographic EFT for Phonons","authors":"A. Amoretti","doi":"10.22323/1.384.0001","DOIUrl":"https://doi.org/10.22323/1.384.0001","url":null,"abstract":"These notes are based on a series of lectures given at the XV Modave Summer School in September, 2019. The course was organized in five lectures on Holographic techniques applied to condensed matter physics. In order to be self consistent, in the first three lectures I introduced the basic concepts of the so called holographic dictionary. Since AdS/CFT is by now a very well established framework to analyze strongly coupled quantum field theories, and many good reviews have been written on the topic I decided to refer to the existing literature for the basic derivation of the holographic dictionary. What illustrated in here consists instead in the analysis of a holographic model which breaks translation spontaneously or pseudo-spontaneously, the holographic realization of a charge density wave. Part of the computations outlined in this manuscript, and in particular the derivation of the Ward Identities, have never appeared in the literature so far. The paper constitute a small exercise which a reader interested in learning more advanced techniques to analyze bottom-up holographic models can use as a warm up to eventually tackle more difficult tasks.","PeriodicalId":324303,"journal":{"name":"Proceedings of XV Modave Summer School in Mathematical Physics — PoS(Modave2019)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128183356","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
Introductory Lectures on Topological Quantum Field Theory 拓扑量子场论导论讲座
Proceedings of XV Modave Summer School in Mathematical Physics — PoS(Modave2019) Pub Date : 2020-04-07 DOI: 10.22323/1.384.0002
Wolfger Peelaers
{"title":"Introductory Lectures on Topological Quantum Field Theory","authors":"Wolfger Peelaers","doi":"10.22323/1.384.0002","DOIUrl":"https://doi.org/10.22323/1.384.0002","url":null,"abstract":"Topological quantum field theory (TQFT) is a vast and rich subject that relates in a profound manner physical observables to topological invariants. These lecture notes provide an elementary introduction to the subject. We will introduce Atiyah’s axiomatic definition of topological quantum field theories and explain how it provides a particularly intuitive, pictorial representation of the algebraic structure of two-dimensional TQFTs. We also consider Witten’s topological twist as a means to obtain so-called cohomological TQFTs. These notes are based on lectures given at the XV Modave Summer School in Mathematical Physics.","PeriodicalId":324303,"journal":{"name":"Proceedings of XV Modave Summer School in Mathematical Physics — PoS(Modave2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123227643","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: 2
Asymptotic Symmetries in the Gauge fixing Approach and the BMS group 定规方法与BMS组的渐近对称性
Proceedings of XV Modave Summer School in Mathematical Physics — PoS(Modave2019) Pub Date : 2019-09-01 DOI: 10.22323/1.384.0003
Romain Ruzziconi
{"title":"Asymptotic Symmetries in the Gauge fixing Approach and the BMS group","authors":"Romain Ruzziconi","doi":"10.22323/1.384.0003","DOIUrl":"https://doi.org/10.22323/1.384.0003","url":null,"abstract":"These notes are an introduction to asymptotic symmetries in gauge theories, with a focus on general relativity in four dimensions. We explain how to impose consistent sets of boundary conditions in the gauge fixing approach and how to derive the asymptotic symmetry parameters. The different procedures to obtain the associated charges are presented. As an illustration of these general concepts, the examples of four-dimensional general relativity in asymptotically (locally) (A)dS$_4$ and asymptotically flat spacetimes are covered. This enables us to discuss the different extensions of the Bondi-Metzner-Sachs-van der Burg (BMS) group and their relevance for holography, soft gravitons theorems, memory effects, and black hole information paradox. These notes are based on lectures given at the XV Modave Summer School in Mathematical Physics.","PeriodicalId":324303,"journal":{"name":"Proceedings of XV Modave Summer School in Mathematical Physics — PoS(Modave2019)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128605661","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: 33
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