8 research outputs found
A Brane Teaser
In this note we study the puzzle posed by two M5-branes intersecting on a
string (or equivalently, a single M5-brane wrapping a holomorphic four-cycle in
C^4). It has been known for a while that this system is different from all
other configurations built using self-intersecting M-branes; in particular the
corresponding supergravity solution exhibits various curious features which
have remained unexplained. We propose that the resolution to these puzzles lies
in the existence of a non-zero two-form on the M5-brane world-volume.Comment: 21 pages. References adde
BPS Solitons in M5-Brane Worldvolume Theory with Constant Three-Form Field
We study BPS solutions for a self-dual string and a neutral string in
M5-brane worldvolume theory with constant three-form field. We further
generalize such solitons to superpose with a calibrated surface. We also study
a traveling wave on a calibrated surface in the constant three-form field
background.Comment: 12 pages, LaTeX, minor correction, added referenc
Dynamics of Weyl Scale Invariant non-BPS p=3 Branes
In this paper a Weyl scale invariant brane scenario is introduced, with
the brane embedded in a higher dimensional bulk space with
Super--Weyl symmetry. Its action, which describes its long wave oscillation
modes into the ambient superspace and breaks the target symmetry down to the
lower dimensional Weyl W(1,3) symmetry, is constructed by the approach of coset
method.Comment: 12 pages, modified versio
N=2 supersymmetric AdS_4 solutions of M-theory
We analyse the most general N=2 supersymmetric solutions of D=11 supergravity
consisting of a warped product of four-dimensional anti-de-Sitter space with a
seven-dimensional Riemannian manifold Y_7. We show that the necessary and
sufficient conditions for supersymmetry can be phrased in terms of a local
SU(2)-structure on Y_7. Solutions with non-zero M2-brane charge also admit a
canonical contact structure, in terms of which many physical quantities can be
expressed, including the free energy and the scaling dimensions of operators
dual to supersymmetric wrapped M5-branes. We show that a special class of
solutions is singled out by imposing an additional symmetry, for which the
problem reduces to solving a second order non-linear ODE. As well as recovering
a known class of solutions, that includes the IR fixed point of a mass
deformation of the ABJM theory, we also find new solutions which are dual to
cubic deformations. In particular, we find a new supersymmetric warped AdS_4 x
S^7 solution with non-trivial four-form flux.Comment: 50 pages, 2 figures; v2: typos fixed, some intermediate formulas
added to improve clarity, references adde
The structure of E(10) at higher A(9) levels: a first algorithmic approach
The conjecture of a hidden E10 symmetry of M-theory is supported by the close connection between the dynamics of D = 11 supergravity near a spacelike singularity and a truncation of an one-dimensional ?-model with E10 symmetry where all representations beyond SL(10) level ell = 3 are omitted. If this conjecture is right, higher-level representations should especially capture the dynamics of further M-theory degrees of freedom. Unfortunately, the level by level determination of E10 commutators which is necessary to extend the model to higher levels is both an involved and toilsome task that requires computer aid. In this work, some of the relevant problems are exposed and algorithmic methods are developed which simplify key steps in the determination of explicit E10 commutators at higher levels. As an application, we compute the commutator of the level-two six-form with itsel