New Solution of D=11 Supergravity on S^7 from D=4

Abstract

A new static partially twisted solution of N=4, SO(4) gauged supergravity in D=11 is obtained in this work using Cvetiĉ et al embedding of four dimensional into eleven dimensional supergravities. In four dimensions we get two solutions: an asymptotic one corresponding to $Ad{S}_4$ and a near horizon fixed point solution of the form $Ad{S}_2\times H_2$. Hence, while the former solution has 32 supercharges the latter turns out to have only 4 conserved. Moreover, we managed to find an exact interpolating solution, thus connecting the above two. Aiming at a future study of $AdS/CFT$ duality for the theory at hand we derived the Penrose limit of the four dimensional solutions. Interestingly the pp-wave limit of the near horizon solution suggests itself as being of the supernumerary supersymmetric type. In D=11 we exhibit the uplift of the four dimensional solutions: one associated to $Ad{S}_4\times S^7$ and the other to a foliation of $Ad{S}_2\times H_2\times S^7$, as well as their pp-wave limits.

arXiv comment14 pages, LaTex

References in corpus (42)

• Gauge Theory Correlators from Non-Critical String Theory
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Supergravity description of field theories on curved manifolds and a no go theorem
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Embedding AdS Black Holes in Ten and Eleven Dimensions
• Penrose limits and maximal supersymmetry
• Anti-de Sitter Fragmentation
• Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
• Consistent Kaluza-Klein Sphere Reductions
• A Construction of Killing Spinors on S^n
• Plane Wave Limits and T-Duality
• Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
• M-Fivebranes Wrapped on Supersymmetric Cycles
• The supergravity dual of a theory with dynamical supersymmetry breaking
• Domain Walls from Anti-de Sitter Spacetime
• Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions
• Wrapped fivebranes and N=2 super Yang-Mills theory
• Supersymmetry of Black Strings in D=5 Gauged Supergravities
• The Geometry of (Super) Conformal Quantum Mechanics
• Membranes Wrapped on Holomorphic Curves
• pp-waves in 11-dimensions with extra supersymmetry
• Four-dimensional N=4 SO(4) Gauged Supergravity from D=11
• Penrose Limits, PP-Waves and Deformed M2-branes
• Superconformal Multi-Black Hole Quantum Mechanics
• M-Fivebranes Wrapped on Supersymmetric Cycles II
• Killing Spinors and SYM on Curved Spaces
• N=2 Gauge Theories from Wrapped Five-branes
• M-theory PP-waves, Penrose Limits and Supernumerary Supersymmetries
• Some Comments on N=1 Gauge Theories from Wrapped Branes
• Supergravity duals of gauge field theories from SU(2) x U(1) gauged supergravity in five dimensions
• Branes Wrapped on Coassociative Cycles
• Interpolating from AdS_(D-2) X S^2 to AdS_D
• Gauge theories from wrapped and fractional branes
• D=2+1 N=2 Yang-Mills Theory From Wrapped Branes
• Penrose Limit and String Theories on Various Brane Backgrounds
• On SUSY Breaking And \chiSB From String Duals
• A Supersymmetric and Smooth Compactification of M-theory to AdS(5)
• D6-branes wrapping Kahler four-cycles
• Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
• Curved Branes in AdS Einstein-Maxwell Gravity and Killing Spinors
• New nonabelian solutions in D=4, N=4 gauged supergravity
• PP-waves from BPS supergravity monopoles