Fivebranes wrapped on associative three-cycles

By B. Acharya, J. Gauntlett, Nakwoo Kim. 2000

134 citations recorded by the source corpus.

We construct supergravity solutions corresponding to fivebranes wrapping associative three-cycles of constant curvature in manifolds of ${G}_{2}$-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 ${\mathrm{AdS}}_{4}$ region. For IIB-fivebranes wrapped on a three-sphere we speculate on a connection with spontaneous supersymmetry breaking of pure $\mathcal{N}=1$ super Yang-Mills theory in $D=3.$

Subfields: Algebra and Number Theory, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3ee5637ce10ddfa78c5b05a75b08ae77d6fd5137

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Fivebranes wrapped on SLAG three-cycles and related geometry (2001, unknown): “ar X iv :h ep -t h/ 01 10 03”
Superstrings with intrinsic torsion (2003, background): “Solutions of this type were presented in [40, 41, 6] (see [6] for an explicit demonstration of [40]).”
Wrapped M5-branes, consistent truncations and AdS/CMT (2010, background): “1 Such solutions describing M5-branes wrapping holomorphic 2-cycles were considered in [1] and generalised to M5-branes wrapping other calibrated cycles in [2]–[4] (see [5] for a review).”
G-Structures and Wrapped NS5-Branes (2002, methodology): “We concentrate on the case d = 7, preserving two or four supersymmetries, corresponding to branes wrapped on associative or SLAG three-cycles.”
The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1) (2004, background): “A solution with Q5 = Q ′ 5, which preserves 1/16 supersymmetry and SU(2)(3) symmetry, was found in [12]: ds(2) = ds2IR1,2 + dr 2 + 1 2 r dΩ 2 3,‖ + 1 4 dΩ 2 3,⊥ e = g(2) s e r H = 1 32 [σ2 ∧ σ3 ∧ ν1 + σ3 ∧ σ1 ∧ ν2 + σ1 ∧ σ2 ∧ ν3] + 1 8ν1 ∧ ν2 ∧ ν3 .”
Supersymmetric sources, integrability and generalized-structure compactifications (2007, unknown): “ions, which only have NSNS-ﬂux and are common to type IIA, IIB and heterotic theory [38]), one ﬁnds space-ﬁlling supersymmetric NS5-branes calibrating ω(1) or ω(2) respectively. These were studied in [39]. Taking the exterior derivative of equation (5.2) leads to the source-corrected equation of mot”
Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy (2001, methodology): “Recent applications of Ricci-flat manifolds with special holonomy in string and M-theory can be found in [14-45].”
The supergravity dual of a theory with dynamical supersymmetry breaking (2001, methodology): “This will leave us with only one fermion in three dimensions.”
Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions (2001, methodology): “Although we could not find an exact solution, we can carry out a similar analysis to [10].”