Semiclassical analysis of AdS3 string solitons
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| Title: | Semiclassical analysis of AdS3 string solitons |
|---|---|
| Authors: | Varga, Adam |
| Summary: | Solitons provide a window into regimes of integrable quantum field theories not directly accessible by the perturbative degrees of freedom. In this thesis we develop techniques for the semiclassical analysis of string solitons on two of the AdS3 backgrounds with maximal amount of supersymmetry, AdS3×S3×T4 and AdS3×S3×S3×S1. As the main application of these techniques, we explicitly construct the four and two fermion zero modes for the mixed-flux AdS3 generalization of the Hofman-Maldacena giant magnon, and show how to match the semiclassically quantized zero modes to the odd generators of the centrally extended psu(1|1)4 and su(1|1)2 off shell residual symmetry algebras. We further obtain explicit formulas for the eight bosonic and eight fermionic fluctuations around the mixed-flux magnon, confirming that the semiclassical quantization of these fluctuations leads to a vanishing one-loop correction to the magnon energy, as expected from symmetry based arguments. Lastly, we consider the fermion zero modes for an AdS3 × R string soliton and a simple scattering state of two magnons, confirming the relation between fermion zero modes and representations of the residual algebras. |
| URL: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.824506 |
| Database: | OpenDissertations |
| FullText | Text: Availability: 0 |
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| Header | DbId: ddu DbLabel: OpenDissertations An: ddu.oai.ethos.bl.uk.824506 AccessLevel: 6 PubType: Dissertation/ Thesis PubTypeId: dissertation PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Semiclassical analysis of AdS3 string solitons – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Varga%2C+Adam%22">Varga, Adam</searchLink> – Name: Abstract Label: Summary Group: Ab Data: Solitons provide a window into regimes of integrable quantum field theories not directly accessible by the perturbative degrees of freedom. In this thesis we develop techniques for the semiclassical analysis of string solitons on two of the AdS3 backgrounds with maximal amount of supersymmetry, AdS3×S3×T4 and AdS3×S3×S3×S1. As the main application of these techniques, we explicitly construct the four and two fermion zero modes for the mixed-flux AdS3 generalization of the Hofman-Maldacena giant magnon, and show how to match the semiclassically quantized zero modes to the odd generators of the centrally extended psu(1|1)4 and su(1|1)2 off shell residual symmetry algebras. We further obtain explicit formulas for the eight bosonic and eight fermionic fluctuations around the mixed-flux magnon, confirming that the semiclassical quantization of these fluctuations leads to a vanishing one-loop correction to the magnon energy, as expected from symmetry based arguments. Lastly, we consider the fermion zero modes for an AdS3 × R string soliton and a simple scattering state of two magnons, confirming the relation between fermion zero modes and representations of the residual algebras. – Name: URL Label: URL Group: URL Data: <link linkTarget="URL" linkTerm="https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.824506" linkWindow="_blank">https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.824506</link> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ddu&AN=ddu.oai.ethos.bl.uk.824506 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English Subjects: – SubjectFull: 530.14 Type: general – SubjectFull: QA Mathematics Type: general Titles: – TitleFull: Semiclassical analysis of AdS3 string solitons Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Varga, Adam IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2020 |
| ResultId | 1 |
