Beyond LLM in M-theory

Abstract

The Lin, Lunin, Maldacena (LLM) ansatz in D = 11 supports two independent Killing directions when a general Killing spinor ansatz is considered. Here we show that these directions always commute, identify when the Killing spinors are charged, and show that both their inner product and resulting geometry are governed by two fundamental constants. In particular, setting one constant to zero leads to AdS7 x S4, setting the other to zero gives AdS4 x S7, while flat spacetime is recovered when both these constants are zero. Furthermore, when the constants are equal, the spacetime is either LLM, or it corresponds to the Kowalski-Glikman solution where the constants are simply the mass parameter.

1+30 pages, footnote added

References in corpus (31)

• N=2 dualities
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Supergravity description of field theories on curved manifolds and a no go theorem
• Bubbling AdS space and 1/2 BPS geometries
• The Geometry of D=11 Killing Spinors
• Supersymmetric AdS_5 solutions of M-theory
• Four-Dimensional SCFTs from M5-Branes
• The Large N Limit of $\mathcal{N}=2,1$ Field Theories from Threebranes in F-theory
• Homogeneous fluxes, branes and a maximally supersymmetric solution of M-theory
• Supersymmetric AdS_5 Solutions of Type IIB Supergravity
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
• The Geometry of D=11 Null Killing Spinors
• 1/2-BPS states in M theory and defects in the dual CFTs
• Exact Half-BPS Flux Solutions in M-theory I, Local Solutions
• On Type IIA geometries dual to N = 2 SCFTs
• pp-waves in 11-dimensions with extra supersymmetry
• AdS spacetimes from wrapped M5 branes
• Large N Limit of N=2 SU(N) Gauge Theories from Localization
• 4d N=2 superconformal linear quivers with type IIA duals
• Comments on AdS2 solutions of D=11 Supergravity
• Wilson Loops in N=2 Super-Yang-Mills from Matrix Model
• Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• A search for AdS5 X S2 IIB supergravity solutions dual to N = 2 SCFTs
• Large rank Wilson loops in N=2 superconformal QCD at strong coupling
• On the generality of the LLM geometries in M-theory
• The electrostatic view on M-theory LLM geometries
• N = 2 SCFTs: An M5-brane perspective
• Some half-BPS solutions of M-theory

Cited by in corpus (6)

• An alternative IIB embedding of F(4) gauged supergravity
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• Local gravitational solutions dual to M2-branes intersecting and/or ending on M5-branes
• Matrix model holography