The octonionic membrane (original) (raw)

Multi-membrane solutions of D = 11 supergravity

Physics Letters B, 1991

We find exact solutions to the field equations of eleven-dimensional supergravity corresponding to stable multi-membrane configurations. Their holonomy group is given by the SO (8) subgroup of an enlarged tangent space group SO (l, 2) × SO (16), and hence one half of the spacetime supersymmetries are broken. The solutions saturate a Bogomol'nyi bound between the mass per unit area and the Page charge, which also guarantees their stability.

Supermembranes and eleven-dimensional supergravity

Physics Letters B, 1987

We construct an action for a supermembrane propagating in d= 11 supergravity background. Using the constraints of d= 11 curved superspace, we show that the action is invariant under Siegel-type transformations recently generalized by Hughes, Li and Polchinski. The transformation parameter is a world-volume scalar and d= 11 spacetime spinor. We also discuss the general problem of the coupling of n-dimensional extended objects to d-dimensional supergravity.

Supermembranes with fewer supersymmetries

Physics Letters B, 1996

The usual supermembrane solution of D = 11 supergravity interpolates between R 11 and AdS 4 × round S 7 , has symmetry P 3 × SO(8) and preserves 1/2 of the spacetime supersymmetries for either orientation of the round S 7 . Here we show that more general supermembrane solutions may be obtained by replacing the round S 7 by any seven-dimensional Einstein space M 7 . These have symmetry P 3 × G, where G is the isometry group of M 7 . For example, G = SO(5) × SO(3) for the squashed S 7 . For one orientation of M 7 , they preserve N/16 spacetime supersymmetries where 1 ≤ N ≤ 8 is the number of Killing spinors on M 7 ; for the opposite orientation they preserve no supersymmetries since then M 7 has no Killing spinors. For example N = 1 for the left-squashed S 7 owing to its G 2 Weyl holonomy, whereas N = 0 for the right-squashed S 7 . All these solutions saturate the same Bogomol'nyi bound between the mass and charge. Similar replacements of S D−p−2 by Einstein spaces M D−p−2 yield new super p-brane solutions in other spacetime dimensions D ≤ 11. In particular, simultaneous dimensional reduction of the above D = 11 supermembranes on S 1 leads to a new class of D = 10 elementary string solutions which also have fewer supersymmetries.

Open supermembranes in eleven dimensions

Physics Letters B, 1997

We consider open supermembranes in an eleven dimensional background. We show that, in a flat space-time, the world-volume action is kappa-symmetric and has global space-time supersymmetry if space-time has even dimensional topological defects where the membrane can end. An example of such topological defects is provided by the space-time with boundaries considered by Horava and Witten. In that case the world-volume action has reparametrisation anomalies whose cancellation requires the inclusion of a current algebra on the boundaries of the membrane. The role of kappa-anomalies in a general background is discussed. The tension of the membrane is related to the eleven dimensional gravitational constant with the aid of the Green-Schwarz mechanism allowing a consistency check of M-theory.

A note on the supersymmetries of the self-dual supermembrane

Physics Letters B, 1998

In this letter we discuss the supersymmetry issue of the self-dual supermembranes in (8 + 1) and (4 + 1)-dimensions. We nd that all genuine solutions of the (8 + 1)dimensional supermembrane, based on the exceptional group G 2 , preserve one of the sixteen supersymmetries while all solutions in (4 + 1)-dimensions preserve eight of them.

New 𝒩 = 2 supersymmetric membrane flow in eleven-dimensional supergravity

Journal of High Energy Physics, 2009

We construct the 11-dimensional lift of the known 𝒩 = 2 supersymmetric RG flow solution in 4-dimensional 𝒩 = 8 gauged supergravity. The squashed and stretched 7-dimensional internal metric preserving SU(2) × U(1) × U(1)R symmetry contains an Einstein-Kahler 2-fold which is a base manifold of 5-dimensional Sasaki-Einstein Yp,q space found in 2004. The nontrivial r(transverse to the domain wall)-dependence of the AdS4 supergravity fields makes the Einstein-Maxwell equations consistent not only at the critical points but also along the supersymmetric whole RG flow connecting two critical points. With an appropriate 3-form gauge field, we find an exact solution to the 11-dimensional Einstein-Maxwell equations corresponding to the above lift of the SU(2) × U(1) × U(1)R-invariant RG flow. The particular limits of this solution give rise to the previous solutions with SU(3) × U(1)R or SU(2) × SU(2) × U(1)R.

Properties of the eleven-dimensional supermembrane theory

Annals of Physics, 1988

We study in detail the structure of the Lorentz covariant, spacetime supersymmetric lldimensional supermembrane theory. We show that for a flat spacetime background, the spacetime supersymmetry becomes an N =8 world volume (rigid) supersymmetry in a "physical" gauge; we also present the field equations and transformation rules in a "lightcone" gauge. We semiclassically quantize the closed torodial supermembrane on a spacetime (Minkowki),

Supersymmetric solutions from N=6 gauged supergravity

Physical Review D, 2021

We study supersymmetric solutions in four-dimensional N=6N=6N=6 gauged supergravity with SO(6)SO(6)SO(6) gauge group. There is a unique N=6N=6N=6 supersymmetric AdS_4AdS_4AdS4 vacuum with SO(6)SO(6)SO(6) symmetry dual to an N=6N=6N=6 SCFT in three dimensions. We find a number of domain walls interpolating between this AdS4AdS_4AdS_4 vacuum and singular geometries in the IR with SO(2)timesSO(4)SO(2)\times SO(4)SO(2)timesSO(4), U(3)U(3)U(3), SO(3)SO(3)SO(3) and SO(2)timesSO(2)timesSO(2)SO(2)\times SO(2)\times SO(2)SO(2)timesSO(2)timesSO(2) symmetries. The SO(3)SO(3)SO(3) case admits N=6N=6N=6 or N=2N=2N=2 solutions depending on whether the pseudoscalars are present or not. On the other hand, all the remaining solutions preserve N=6N=6N=6 supersymmetry. These solutions describe RG flows from the N=6N=6N=6 SCFT to non-conformal field theories driven by mass deformations. In particular, the SO(2)timesSO(4)SO(2)\times SO(4)SO(2)timesSO(4) solution is in agreement with the previously known mass deformations of the dual N=6N=6N=6 SCFT. We also give a supersymmetric Janus solution with SO(2)timesSO(4)SO(2)\times SO(4)SO(2)timesSO(4) symmetry, describing two-dimensional conformal defects in the N=6N=6N=6 SCF...