World-volume supermembrane instantons in the light-cone frame (original) (raw)
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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),
Physics Letters B, 1997
We generalize the supermembrane solution of D = 11 supergravity by permitting the 4-form G to be either self-dual or anti-self-dual in the eight dimensions transverse to the membrane. After analyzing the supergravity field equations directly, and also discussing necessary conditions for unbroken supersymmetry, we focus on two specific, related solutions. The self-dual solution is not asymptotically flat. The anti-self-dual solution is asymptotically flat, has finite mass per unit area and saturates the same mass=charge Bogomolnyi bound as the usual supermembrane. Nevertheless, neither solution preserves any supersymmetry. Both solutions involve the octonionic structure constants but, perhaps surprisingly, they are unrelated to the octonionic instanton 2-form F , for which T rF ∧ F is neither self-dual nor anti-self-dual.
Instanton solutions of the self-dual membrane in various dimensions
Physics Letters B, 1998
We present some methods of determining explicit solutions for self-dual supermembranes in 4 + 1 and 8 + 1 dimensions with spherical or toroidal topology. For congurations of axial symmetry, the continuous S U( 1) T oda equation turns out to play a central role and a specic method of determining all the periodic solutions is suggested. A n umber of examples is studied in detail.
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.
Non-collapsing membrane instantons in higher dimensions
Physics Letters B, 2002
We introduce a particular embedding of seven dimensional self-duality membrane equations in C 3 × R which breaks G2 invariance down to SU(3). The world-volume membrane instantons define SU(3) special lagrangian submanifolds of C 3 . We discuss in detail solutions for spherical and toroidal topologies assuming factorization of time. We show that the extra dimensions manifest themselves in the solutions through the appearance of a non-zero conserved charge which prevents the collapse of the membrane.
Dual instantons in antimembranes theory
Physical Review D, 2011
We introduce two ansatzs for the 3-form potential of Euclidean 11d supergravity on skew-whiffed AdS 4 × S 7 background which results in two scalar modes with m 2 = −2 on AdS 4 . Being conformally coupled with a quartic interaction it is possible to find the exact solutions of the scalar equation on this background. These modes turn out to be invariant under SU (4) subgroup of SO(8) isometry group, whereas there are no corresponding SU (4) singlet BPS operators of dimensions one or two on the boundary ABJM theory. Noticing the interchange of 8 s and 8 c representations under skew-whiffing in the bulk, we propose the theory of anti-membranes should similarly be obtained from ABJM theory by swapping these representations. In particular, this enables us to identify the dual boundary operators of the two scalar modes. We deform the boundary theory by the dual operators and examine the fermionic field equations and compare the solutions of the deformed theory with those of the bulk. 1 aimaanpu@theory.ipm.ac.ir 2 m.naghdi@modares.ac.ir
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.
Aspects of supersymmetry in multiple membrane theories
Arxiv preprint arXiv:1012.2707, 2010
This thesis consists of two parts. In the first part we investigate the worldvolume supersymmetry algebra of multiple membrane theories. We begin with a description of M-theory branes and their intersections from the perspective of spacetime and worldvolume supersymmetry algebras. We then provide an overview of the recent work on multiple M2-branes focusing on the Bagger-Lambert theory and its relation to the Nambu-Poisson M5-brane and the ABJM theory. The worldvolume supersymmetry algebras of these theories are explicitly calculated and the charges interpreted in terms of spacetime intersections of M-branes. The second part of the thesis looks at l 3 p corrections to the supersymmetry transformations of the Bagger-Lambert theory. We begin with a review of the dNS duality transformation which allows a gauge field to be dualised to a scalar field in 2+1 dimensions. Applying this duality to α ′2 terms of the non-abelian D2-brane theory gives rise to the l 3 p corrections of the Lorentzian Bagger-Lambert theory. We then apply this duality transformation to the α ′2 corrections of the D2-brane supersymmetry transformations. For the 'abelian' Bagger-Lambert theory we are able to uniquely determine the l 3 p corrections to the supersymmetry transformations of the scalar and fermion fields. Generalising to the 'non-abelian' Bagger-Lambert theory we are able to determine the l 3 p correction to the supersymmetry transformation of the fermion field. Along the way make a number of observations relating to the implementation of the dNS duality transformation at the level of supersymmetry transformations.
An introduction to the quantum supermembrane
2002
We review aspects of quantisation of the 11-dimensional supermembrane world volume theory. We explicitly construct vertex operators for the massless states and study interactions of supermembranes. The open supermembrane and its vertex operators are discussed. We show how our results have direct applications to Matrix theory by appropriate regularisation of the supermembrane.