2007/12/31 by A Fotopoulos, Angelos Fotopoulos, P.M Petropoulos +5
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coset #Holography #Homotopy and Cohomology in Algebraic Topology #Infinitesimal #Noncommutative and Quantum Gravity Theories #Planar #Semiclassical physics #Sigma model #String (physics) #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/02/087
published as JHEP 0802:087,2008 · 45 pages, 1 figure; v2: minor changes, JHEP version
arxiv created 2008/02/14 · openalex publication_date 2008/02/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We consider general planar deformations of a circular distribution of NS5-branes. The near-horizon region of the latter admits, after a T-duality transformation, an exact conformal-field-theory description in terms of the coset model SU(2)/U(1) X SL(2,R)/U(1). We derive the exactly marginal operators corresponding to an infinitesimal planar deformation using the conjectured holography between the coset model and the little string theory that resides on the worldvolume of the NS5-branes. Subsequently, we perform a complementary analysis of the same deformations using the associated N=1 supersymmetric sigma model and verify the holographic correspondence. We explicitly demonstrate a precise match between the two approaches which rests upon a delicate interplay between exact conformal-field-theory operators and their semiclassical realizations in terms of target-space variables.