2018/12/31 by Niall T. Macpherson · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bounded function #Brane #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #M-theory #Plane (geometry) #Supergravity #Supersymmetry #Symmetry (geometry) #Type (biology) #hep-th
paper · pdf · doi:10.1007/jhep05(2019)089
v3: Discussion expanded, interpretation in Sec 5.2 corrected, added appendices, typos and references, published version
openalex created_date 2019/01/01 · openalex publication_date 2019/05/01 · arxiv created 2019/05/11 · arxiv updated 2019/06/26 · openalex updated_date 2026/08/05
A bstract New local solutions in type II supergravity that are foliations of AdS 3 × S 3 × S 3 over an interval and preserve at least large N=(4,0) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mfenced> <mml:mn>4</mml:mn> <mml:mn>0</mml:mn> </mml:mfenced> </mml:math> supersymmetry are found. Some cases have compact internal space, some not and one experiences an enhancement to N=(4,4) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mfenced> <mml:mn>4</mml:mn> <mml:mn>4</mml:mn> </mml:mfenced> </mml:math> . We present two new globally compact solutions with D brane and O plane sources explicitly, one in each of IIA and IIB. The former is part of an infinite family of solutions with D8/O8s back reacted on AdS 3 × S 3 × S 3 × S 1 . In the latter the algebra degenerates to small N=(4,0) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mfenced> <mml:mn>4</mml:mn> <mml:mn>0</mml:mn> </mml:mfenced> </mml:math> and the internal geometry is bounded between D5s and O5s back reacted on AdS 3 × S 3 ×ℝ 4 .