Current-current deformations, conformal integrals and correlation functions
| Autor: | Matias Leoni, Gaston Giribet |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Worldsheet FOS: Physical sciences Boundary (topology) Conformal map 01 natural sciences purl.org/becyt/ford/1 [https] Renormalization 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity String background 010306 general physics Mathematical physics Physics 010308 nuclear & particles physics Bosonic Strings BOSONIC STRINGS purl.org/becyt/ford/1.3 [https] High Energy Physics - Theory (hep-th) Conformal Field Models in String Theory Regularization (physics) Vertex (curve) lcsh:QC770-798 Dilaton CONFORMAL FIELD MODELS IN STRING THEORY |
| Zdroj: | Journal of High Energy Physics, Vol 2020, Iss 4, Pp 1-16 (2020) CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep04(2020)194 |
| Popis: | Motivated by the recent work on $T\bar{T}$-type deformations of 2D CFTs, a especial class of single-trace deformations of AdS$_3$/CFT$_2$ correspondence has been investigated. From the worldsheet perspective, this corresponds to a marginal deformation of the $\sigma $-model on AdS$_3$ that yields a string background that interpolates between AdS$_3$ and a flat linear dilaton solution. Here, with the intention of studying this worldsheet CFT further, we consider it in the presence of a boundary. In a previous paper, we computed different correlation functions of this theory on the disk, including the bulk 1-point function, the boundary-boundary 2-point function, and the bulk-boundary 2-point function. This led us to compute the anomalous dimension of both bulk and boundary vertex operators, which first required a proper regularization of the ultraviolet divergences of the conformal integrals. Here, we extend the analysis by computing the bulk-bulk 2-point function on the disk and other observables on the sphere. We prove that the renormalization of the vertex operators proposed in our previous works is consistent with the form of the sphere $N$-point functions. Comment: 14 pages, 1 figure |
| Databáze: | OpenAIRE |
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