Thesis: On CFTs and conformal techniques in AdS
| datacite.subject.fos | Natural sciences::Physical sciences::Particles and fields physics | |
| datacite.subject.fos | Natural sciences::Computer and information sciences | |
| datacite.subject.fos | Engineering and technology | |
| datacite.subject.fos | Natural sciences | |
| dc.barcode | 3560900231873 | |
| dc.contributor.department | Física | |
| dc.contributor.guia | Zerwekh, Alfonso | |
| dc.contributor.guia | Carlini Vallilo, Brenno | |
| dc.coverage.spatial | Campus Casa Central Valparaíso | |
| dc.creator | Ramírez Krause, Israel Adolfo | |
| dc.date.accessioned | 2025-05-05T19:54:29Z | |
| dc.date.available | 2025-05-05T19:54:29Z | |
| dc.date.issued | 2016-11 | |
| dc.description.abstract | Conformal symmetry is a fundamental tool in the study of string theory, critical phenomena, and interacting quantum field theories. This doctoral thesis focuses on conformal methods applied to two main areas: Type IIB superstring theory in an AdS5 x S5 background, and four-dimensional N = 2 supersymmetric field theories. In the case of N = 2 theories, we take an initial step toward computing superconformal blocks for mixed operators. For chiral and real half-BPS operators, these blocks can be constructed using chiral or harmonic superspace techniques. However, no general method exists for more complex multiplets. This work presents a procedure to compute operator product expansions (OPE) involving an N = 2 stress-tensor multiplet, a chiral multiplet, and a flavor current multiplet using superspace techniques. A general bound for the central charge of interacting theories is also derived. On the string theory side, a systematic method is proposed to compute logarithmic divergences of composite operators in the pure spinor formalism of the AdS5 x S5 superstring. These divergences are described in terms of a dilatation operator acting on local operators. The results are verified using key composite operators in the formalism. Finally, the pure spinor AdS string is constructed using supertwistor techniques. | en |
| dc.description.degree | Doctorado en Ciencias Físicas | |
| dc.description.program | Doctorado en Ciencias mención Física | |
| dc.driver | info:eu-repo/semantics/doctoralThesis | |
| dc.format.extent | 156 páginas | |
| dc.identifier.uri | https://cris.usm.cl/handle/123456789/2847 | |
| dc.language.iso | en | |
| dc.publisher | Universidad Técnica Federico Santa María | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | SCFT | |
| dc.subject | Conformal symmetry | |
| dc.subject | Superstring theory | |
| dc.subject | AdS/CFT | |
| dc.subject | Superconformal blocks | |
| dc.subject | Superspace techniques | |
| dc.subject | 𝑁 = 2 N=2 supersymmetry | |
| dc.subject | Pure spinor formalism | |
| dc.subject | Composite operators | |
| dc.subject | Dilatation operator | |
| dc.subject | Twistor string theory | |
| dc.subject | Teoria de cuerdas | |
| dc.subject | superespacio | |
| dc.subject.ods | 4 Educación de calidad | |
| dc.subject.ods | 9 Industria, innovación e infraestructura | |
| dc.subject.ods | 17 Alianzas para lograr los objetivos | |
| dc.title | On CFTs and conformal techniques in AdS | |
| dspace.entity.type | Tesis |
