Fivebranes wrapped on associative three-cycles

2000/11/30 by B. S. Acharya, Bobby S. Acharya, Jerome P. Gauntlett +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Associative property #Black Holes and Theoretical Physics #Mathematics #Noncommutative and Quantum Gravity Theories #Pure mathematics #hep-th

paper · pdf · doi:10.1103/physrevd.63.106003

published as Phys.Rev. D63 (2001) 106003 · Latex, 20 pages, 3 figures; minor corrections, reference added, discussions expanded; Typo corrected, final version to appear in PRD

arxiv created 2001/04/02 · openalex publication_date 2001/04/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct supergravity solutions corresponding to fivebranes wrapping associative three-cycles of constant curvature in manifolds of G₂-holonomy. The solutions preserve 2 supercharges and are first constructed in D=7 gauged supergravity and then lifted to D=10,11. We show that the low-energy theory of M-fivebranes wrapped on a compact hyperbolic three-space is dual to a superconformal field theory in D=3 by exhibiting a flow to an AdS₄ region. For IIB-fivebranes wrapped on a three-sphere we speculate on a connection with spontaneous supersymmetry breaking of pure N=1 super Yang-Mills theory in D=3.

Citations

• Strings as solitons & black holes as strings
• Towards the LargeNLimit of PureN<mml:mspace/>=<mml:mspace/>1Super Yang-Mills Theory
• Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities
• The large N limit of superconformal field theories and supergravity

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