12,502 research outputs found
Gravity from Entanglement and RG Flow in a Top-down Approach
The duality between a -dimensional conformal field theory with relevant
deformation and a gravity theory on an asymptotically AdS geometry, has
become a suitable tool in the investigation of the emergence of gravity from
quantum entanglement in field theory. Recently, we have tested the duality
between the mass-deformed ABJM theory and asymptotically AdS gravity
theory, which is obtained from the KK reduction of the 11-dimensional
supergravity on the LLM geometry. In this paper, we extend the KK reduction
procedure beyond the linear order and establish non-trivial KK maps between
4-dimensional fields and 11-dimensional fluctuations. We rely on this
gauge/gravity duality to calculate the entanglement entropy by using the
Ryu-Takayanagi holographic formula and the path integral method developed by
Faulkner. We show that the entanglement entropies obtained using these two
methods agree when the asymptotically AdS metric satisfies the linearized
Einstein equation with nonvanishing energy-momentum tensor for two scalar
fields. These scalar fields encode the information of the relevant deformation
of the ABJM theory. This confirms that the asymptotic limit of LLM geometry is
the emergent gravity of the quantum entanglement in the mass-deformed ABJM
theory with a small mass parameter. We also comment on the issue of the
relative entropy and the Fisher information in our setup.Comment: 42 pages, no figure, minor corrections, references adde
Abelian Gauge Invariance of the WZ-type Coupling in ABJM Theory
We construct the interaction terms between the worldvolume fields of multiple
M2-branes and 3-form gauge field of 11-dimensional supergravity, in the context
of ABJM theory. The obtained Wess-Zumino-type coupling is simultaneously
invariant under the UU non-Abelian
gauge transformation of the ABJM theory and the Abelian gauge transformation of
the 3-form field in 11-dimensional supergravity.Comment: 16 pages, minor corrections, published versio
Exact Holography of the Mass-deformed M2-brane Theory
We test the holographic relation between the vacuum expectation values of
gauge invariant operators in mass-deformed ABJM theory and the LLM geometries with
orbifold in 11-dimensional supergravity. To do that, we apply
the Kaluza-Klein reduction to construct a 4-dimensional gravity theory and
implement the holographic renormalization procedure. We obtain an exact
holographic relation for the vacuum expectation values of the chiral primary
operator with conformal dimension , which is given by , for large and
. Here factor is independent of . Our results involve
infinite number of exact dual relations for all possible supersymmetric Higgs
vacua and so provide a nontrivial test of gauge/gravity duality away from the
conformal fixed point. We also extend our results to the case of for
LLM geometries represented by rectangular-shaped Young-diagrams.Comment: 6 pages, major corrections in section 3 and 4, references added,
title change
Mass-deformed ABJM Theory and LLM Geometries: Exact Holography
We present a detailed account and extension of our claim in arXiv:1610.01490.
We test the gauge/gravity duality between the mass-deformed ABJM
theory with UU gauge symmetry and the 11-dimensional
supergravity on LLM geometries with SO(4)/
SO(4)/ isometry, in the large limit. Our analysis is
based on the evaluation of vacuum expectation values of chiral primary
operators from the supersymmetric vacua of mass-deformed ABJM theory and from
the implementation of Kaluza-Klein holography to the LLM geometries. We focus
on the chiral primary operator with conformal dimension . We show
that for
all supersymmetric vacuum solutions and LLM geometries with , where the
factor is independent of . We also confirm that the vacuum
expectation value of the the energy momentum tensor is vanishing as expected by
the supersymmetry. We extend our results to the case of for LLM
geometries represented by rectangular-shaped Young-diagrams. In analogy with
the Coulomb branch of the super Yang-Mills theory, we argue that
the discrete Higgs vacua of the mABJM theory as well as the corresponding LLM
geometries are parametrized by the vevs of the chiral primary operators.Comment: 44 pages, 1 figure, major corrections in section 3 and 5, references
added, title change
Work distribution for the driven harmonic oscillator with time-dependent strength: Exact solution and slow driving
We study the work distribution of a single particle moving in a harmonic
oscillator with time-dependent strength. This simple system has a non-Gaussian
work distribution with exponential tails. The time evolution of the
corresponding moment generating function is given by two coupled ordinary
differential equations that are solved numerically. Based on this result we
study the behavior of the work distribution in the limit of slow but finite
driving and show that it approaches a Gaussian distribution arbitrarily well
Generalized feedback vertex set problems on bounded-treewidth graphs: chordality is the key to single-exponential parameterised algorithms
It has long been known that Feedback Vertex Set can be solved in time 2^O(w log w)n^O(1) on graphs of treewidth w, but it was only recently that this running time was improved to 2^O(w)n^O(1), that is, to single-exponential parameterized by treewidth. We investigate which generalizations of Feedback Vertex Set can be solved in a similar running time. Formally, for a class of graphs P, Bounded P-Block Vertex Deletion asks, given a graph G on n vertices and positive integers k and d, whether G contains a set S of at most k vertices such that each block of G-S has at most d vertices and is in P. Assuming that P is recognizable in polynomial time and satisfies a certain natural hereditary condition, we give a sharp characterization of when single-exponential parameterized algorithms are possible for fixed values of d: - if P consists only of chordal graphs, then the problem can be solved in time 2^O(wd^2) n^{O}(1), - if P contains a graph with an induced cycle of length ell>= 4, then the problem is not solvable in time 2^{o(w log w)} n^O(1)} even for fixed d=ell, unless the ETH fails. We also study a similar problem, called Bounded P-Component Vertex Deletion, where the target graphs have connected components of small size instead of having blocks of small size, and present analogous results
Structure And Properties of Nanoparticles Formed under Conditions of Wire Electrical Explosion
Structure and properties of nanoparticles formed under conditions of wire
electrical explosion were studied. It was shown that the state of WEE power
particles can be characterized as a metastable state. It leads to an increased
stability of nanopowders at normal temperatures and an increased reactivity
during heating, which is revealed in the form of threshold phenomena.Comment: Submitted on behalf of TIMA Editions
(http://irevues.inist.fr/tima-editions
- …