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Aspects of the free field description of string theory on AdS3

2000/06/21 by Gastón Giribet, Gaston Giribet, Carmen Núñez +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Boundary conformal field theory #Conformal field theory #Free field #Geometry and complex manifolds #Non-critical string theory #Relationship between string theory and quantum field theory #String (physics) #String cosmology #String field theory #String phenomenology #String theory #hep-th

paper · pdf · doi:10.1088/1126-6708/2000/06/033

published as JHEP 0006:033,2000 · 25 pages, typos corrected, references added, to appear in JHEP

arxiv created 2000/06/21 · openalex publication_date 2000/06/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The near boundary limit of string theory in AdS3 is analysed using the Wakimoto free field representation of SL(2,R). The theory is considered as a direct product of the SL(2,R)/U(1) coset and a free boson. Correlation functions are constructed generalizing to the non-compact case the integral representation of conformal blocks introduced by Dotsenko in the compact SU(2) CFT. Sectors of the theory obtained by spectral flow manifestly appear. The formalism naturally leads to consider scattering processes violating winding number conservation. The consistency of the procedure is verified in the factorization limit.

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