2011/07/31 by Marco Chiodaroli, Eric D'Hoker, Eric D’Hoker +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Dual polyhedron #Geometry and complex manifolds #Harmonic function #Hermitian matrix #Holomorphic function #Holonomy #Lift (data mining) #Moduli #Riemann surface #Supergravity #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1007/jhep12(2011)086
67 pages, 7 figures, PDFLaTeX, Version accepted for publication in JHEP
openalex publication_date 2011/12/01 · arxiv created 2011/12/03 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct SO(2,1) x SO(3)-invariant half-BPS solutions in six-dimensional (0,4) supergravity with m tensor multiplets. The space-time manifold of each one of these solutions consists of an AdS2 x S2 warped over a Riemann surface Sigma with boundary. The most general local solution is parametrized by one real harmonic function, and m+2 holomorphic functions which are subject to a quadratic constraint and a hermitian inequality, both of which are manifestly SO(2,m) invariant. Imposing suitable conditions on these harmonic and holomorphic functions, we construct globally regular supergravity solutions with N distinct AdS3 x S3 asymptotic regions and contractible Sigma. These solutions have an intricate moduli space, whose dimension equals 2(m+1)N -m-2 and matches the counting of three-form charge vectors and un-attracted scalars of the tensor multiplet. Exact explicit formulas for all supergravity fields are obtained in terms of the moduli. Our solutions give the near-horizon geometries for junctions of N self-dual strings in six dimensions, and are holographic duals to CFTs defined on N half-planes which share a common interface line. For m=5, the solutions lift to quarter-BPS solutions for six-dimensional (4,4) supergravity.