3,375 research outputs found
Selfdual strings and loop space Nahm equations
We give two independent arguments why the classical membrane fields should be
loops. The first argument comes from how we may construct selfdual strings in
the M5 brane from a loop space version of the Nahm equations. The second
argument is that there appears to be no infinite set of finite-dimensional Lie
algebras (such as for any ) that satisfies the algebraic structure
of the membrane theory.Comment: 28 pages, various additional comment
Five-dimensional SYM from undeformed ABJM
We expand undeformed ABJM theory around the vacuum solution that was found in
arxiv:0909.3101. This solution can be interpreted as a circle-bundle over a
two-dimensional plane with a singularity at the origin. By imposing periodic
boundary conditions locally far away from the singularity, we obtain a local
fuzzy two-torus over which we have a circle fibration. By performing
fluctuation analysis we obtain five-dimensional SYM with the precise value on
the coupling constant that we would obtain by compactifying multiple M5 branes
on the vacuum three-manifold. In the resulting SYM theory we also find a
coupling to a background two-form.Comment: 23 page
Deconstructing graviphoton from mass-deformed ABJM
Mass-deformed ABJM theory has a maximally supersymmetric fuzzy two-sphere
vacuum solution where the scalar fields are proportional to the TGRVV matrices.
We construct these matrices using Schwinger oscillators. This shows that the
ABJM gauge group that corresponds to the fuzzy two-sphere geometry is
. We deconstruct the graviphoton term in the D4 brane
theory. The normalization of this term is fixed by topological reasons. This
gives us the correct normalization of the deconstructed U(1) gauge field and
fixes the Yang -Mills coupling constant to the value which corresponds to M5
brane compactified on \mb{R}^ {1,2} \times S^3/{\mb{Z}_k}. The graviphoton
term also enable us to show that the zero mode contributions to the partition
functions for the D4 and the M5 brane agree.Comment: 26 page
On the Problem of Multiple M2 Branes
A simplified version of 3d BL theory is considered, which allows any number N
of M2 branes in d=11. The underlying 3-algebra structure is provided by
degenerate U(N) Nambu bracket [X,Y,Z] = tr(X) [Y,Z] + tr(Y) [Z,X] + tr(Z)
[X,Y], the corresponding f^{abcd} is not totally antisymmetric and extended
supersymmetry of the action remains to be checked. All the fields, including
auxiliary non-propagating gauge fields, are in adjoint representation of SU(N)
and the only remnant of 3-algebra structure is an octuple of gauge singlets,
acquiring vacuum expectation value in transition to D2 branes in d=10.Comment: 12 page
High cumulants in the counting statistics measured for a quantum dot
We report on measurements of single electron tunneling through a quantum dot
using a quantum point contact as non-invasive charge detector with fast time
response. We elaborate on the unambiguous identification of individual
tunneling events and determine the distribution of transferred charges, the
so-called full counting statistics. We discuss our data analysis, including the
error estimates of the measurement, and show that the quality of our
experimental results is sufficiently high to extract cumulants of the
distribution up to the 20th order for short times.Comment: 4 pages, 3 figures, Contribution to EP2DS18-MSS14, Kobe, Japan, July
200
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
A. Dzhumadil'daev classified all irreducible finite dimensional
representations of the simple n-Lie algebra. Using a slightly different
approach, we obtain in this paper a complete classification of all irreducible,
highest weight modules, including the infinite-dimensional ones. As a corollary
we find all primitive ideals of the universal enveloping algebra of this simple
n-Lie algebra.Comment: 24 pages, 24 figures, mistake in proposition 2.1 correcte
- …