11,811 research outputs found
The Vector-Tensor Supermultiplet with Gauged Central Charge
The vector-tensor multiplet is coupled off-shell to an N=2 vector multiplet
such that its central charge transformations are realized locally. A gauged
central charge is a necessary prerequisite for a coupling to supergravity and
the strategy underlying our construction uses the potential for such a coupling
as a guiding principle. The results for the action and transformation rules
take a nonlinear form and necessarily include a Chern-Simons term. After a
duality transformation the action is encoded in a homogeneous holomorphic
function consistent with special geometry.Comment: 8 pages, LATE
N=2 Conformal Superspace in Four Dimensions
We develop the geometry of four dimensional N=2 superspace where the entire
conformal algebra of SU(2,2|2) is realized linearly in the structure group
rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries,
extending to N=2 our prior result for N=1 superspace. This formulation
explicitly lifts to superspace the existing methods of the N=2 superconformal
tensor calculus; at the same time the geometry, when degauged to SL(2,C) x
U(2)_R, reproduces the existing formulation of N=2 conformal supergravity
constructed by Howe.Comment: 43 pages; v2 references added, acknowledgments update
Bistable Gestalts reduce activity in the whole of V1, not just the retinotopically predicted parts
Activity in the primary visual cortex reduces when certain stimuli can be perceptually organized as a unified Gestalt. This reduction could offer important insights into the nature of feedback computations within the human visual system; however, the properties of this response reduction have not yet been investigated in detail. Here we replicate this reduced V1 response, but find that the modulation in V1 (and V2) to the perceived organization of the input is not specific to the retinotopic location at which the sensory input from that stimulus is represented. Instead, we find a response modulation that is equally evident across the primary visual cortex. Thus in contradiction to some models of hierarchical predictive coding, the perception of an organized Gestalt causes a broad feedback effect that does not act specifically on the part of the retinotopic map representing the sensory input
On The spectrum of a Noncommutative Formulation of the D=11 Supermembrane with Winding
A regularized model of the double compactified D=11 supermembrane with
nontrivial winding in terms of SU(N) valued maps is obtained. The condition of
nontrivial winding is described in terms of a nontrivial line bundle introduced
in the formulation of the compactified supermembrane. The multivalued
geometrical objects of the model related to the nontrivial wrapping are
described in terms of a SU(N) geometrical object which in the
limit, converges to the symplectic connection related to the area preserving
diffeomorphisms of the recently obtained non-commutative description of the
compactified D=11 supermembrane.(I. Martin, J.Ovalle, A. Restuccia. 2000,2001)
The SU(N) regularized canonical lagrangian is explicitly obtained. In the limit it converges to the lagrangian in (I.Martin, J.Ovalle,
A.Restuccia. 2000,2001) subject to the nontrivial winding condition. The
spectrum of the hamiltonian of the double compactified D=11 supermembrane is
discussed.
Generically, it contains local string like spikes with zero energy.
However the sector of the theory corresponding to a principle bundle
characterized by the winding number , described by the SU(N) model we
propose, is shown to have no local string-like spikes and hence the spectrum of
this sector should be discrete.Comment: 16 pages.Latex2
Christ-centred ethical behaviour and ecological crisis: What resources do the concepts of order in creation and eschatological hope offer?
The ecological crisis, as well as a limited ethical response, forces a reflection on the transformative potential of Christian ethics on an idolatrous society largely shaped by a dominant economic culture. The aim of the article was to explore how the concepts of creation order and eschatological hope may be helpful in the understanding and formulation of a Christ-centred ethical response to the ecological crisis. A review of the relevant literature was presented, limited to insights from Reformational philosophy and eco-theology into the concepts of creation order and eschatology. The main internal tensions of using the concepts of creation order and eschatological hope as resources in Christ-centred eco-ethics were highlighted and discussed. Some implications for the further explanation and development of Christ-centred eco-ethics are outlined.Christosentriese etiese gedrag en ekologiese krisis: Watter hulpbronne bied die konsepte van orde in die skepping en eskatologiese hoop? Die ekologiese krisis, asook ’n beperkte etiese antwoord hierop, dwing ’n besinning oor die vernuwende potensiaal van Christelike etiek vir ’n afgodiese samelewing wat grootliks gevorm is deur ’n dominante ekonomiese kultuur. Die doel van hierdie artikel was om te ondersoek hoe die konsepte van orde in die skepping en eskatologiese hoop nuttig kan wees in die verstaan en die formulering van ’n Christus- gesentreerde etiese antwoord op die ekologiese krisis. ’n Oorsig van die relevante literatuur, beperk tot insigte uit die Reformatoriese filosofie en ekoteologie oor die konsepte van orde in die skepping en eskatologie, is aangebied. Die belangrikste interne spanningsvelde in die gebruik van die konsepte skeppingsorde en eskatologiese hoop in ’n Christus-gesentreerde eko-etiek is uitgelig en bespreek. Sekere implikasies vir die verdere verduideliking en die ontwikkeling van ’n Christus-gesentreerde eko-etiek is beskryf
A New Supersymmetric Compactification of Chiral IIB Supergravity
We present a new compactification of chiral, N=2 ten-dimensional supergravity
down to five dimensions and show that it corresponds to the N=2 supersymmetric
critical point of five-dimensional, N=8 gauged supergravity found in [KPW].
This solution presented here is of particular significance because it involves
non-zero tensor gauge fields and, via the AdS/CFT correspondence, is dual to
the non-trivial N=1 supersymmetric fixed point of N=4 Yang-Mills theory.Comment: 14 pages, references added, some typos correcte
Reaction diffusion processes on random and scale-free networks
We study the discrete Gierer-Meinhardt model of reaction-diffusion on three
different types of networks: regular, random and scale-free. The model dynamics
lead to the formation of stationary Turing patterns in the steady state in
certain parameter regions. Some general features of the patterns are studied
through numerical simulation. The results for the random and scale-free
networks show a marked difference from those in the case of the regular
network. The difference may be ascribed to the small world character of the
first two types of networks.Comment: 8 pages, 7 figure
M Theory As A Matrix Model: A Conjecture
We suggest and motivate a precise equivalence between uncompactified eleven
dimensional M-theory and the N = infinity limit of the supersymmetric matrix
quantum mechanics describing D0-branes. The evidence for the conjecture
consists of several correspondences between the two theories. As a consequence
of supersymmetry the simple matrix model is rich enough to describe the
properties of the entire Fock space of massless well separated particles of the
supergravity theory. In one particular kinematic situation the leading large
distance interaction of these particles is exactly described by supergravity .
The model appears to be a nonperturbative realization of the holographic
principle. The membrane states required by M-theory are contained as
excitations of the matrix model. The membrane world volume is a noncommutative
geometry embedded in a noncommutative spacetime.Comment: Typo and tex error corrected. 41 pages, harvma
The general gaugings of maximal d=9 supergravity
We use the embedding tensor method to construct the most general maximal
gauged/massive supergravity in d=9 dimensions and to determine its extended
field content. Only the 8 independent deformation parameters (embedding tensor
components, mass parameters etc.) identified by Bergshoeff \textit{et al.} (an
SL(2,R) triplet, two doublets and a singlet can be consistently introduced in
the theory, but their simultaneous use is subject to a number of quadratic
constraints. These constraints have to be kept and enforced because they cannot
be used to solve some deformation parameters in terms of the rest. The
deformation parameters are associated to the possible 8-forms of the theory,
and the constraints are associated to the 9-forms, all of them transforming in
the conjugate representations. We also give the field strengths and the gauge
and supersymmetry transformations for the electric fields in the most general
case. We compare these results with the predictions of the E11 approach,
finding that the latter predicts one additional doublet of 9-forms, analogously
to what happens in N=2, d=4,5,6 theories.Comment: Latex file, 43 pages, reference adde
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