2,337 research outputs found
Unidirectional Invisibility and PT-Symmetry with Graphene
We investigate the reflectionlessness and invisibility properties in the
transverse electric (TE) mode solution of a linear homogeneous optical system
which comprises the -symmetric structures covered by graphene
sheets. We derive analytic expressions, indicate roles of each parameter
governing optical system with graphene and justify that optimal conditions of
these parameters give rise to broadband and wide angle invisibility. Presence
of graphene turns out to shift the invisible wavelength range and to reduce the
required gain amount considerably, based on its chemical potential and
temperature. We substantiate that our results yield broadband reflectionless
and invisible configurations for realistic materials of small refractive
indices, usually around , and of small thickness sizes with graphene
sheets of rather small temperatures and chemical potentials. Finally, we
demonstrate that pure -symmetric graphene yields invisibility at
small temperatures and chemical potentials.Comment: 20 pages, 1 table 17 figure
Exact norm-conserving stochastic time-dependent Hartree-Fock
We derive an exact single-body decomposition of the time-dependent
Schroedinger equation for N pairwise-interacting fermions. Each fermion obeys a
stochastic time-dependent norm-preserving wave equation. As a first test of the
method we calculate the low energy spectrum of Helium. An extension of the
method to bosons is outlined.Comment: 21 pages, 3 figures, LaTeX fil
Polymer depletion interaction between two parallel repulsive walls
The depletion interaction between two parallel repulsive walls confining a
dilute solution of long and flexible polymer chains is studied by
field-theoretic methods. Special attention is paid to self-avoidance between
chain monomers relevant for polymers in a good solvent. Our direct approach
avoids the mapping of the actual polymer chains on effective hard or soft
spheres. We compare our results with recent Monte Carlo simulations [A. Milchev
and K. Binder, Eur. Phys. J. B 3, 477 (1998)] and with experimental results for
the depletion interaction between a spherical colloidal particle and a planar
wall in a dilute solution of nonionic polymers [D. Rudhardt, C. Bechinger, and
P. Leiderer, Phys. Rev. Lett. 81, 1330 (1998)].Comment: 17 pages, 3 figures. Final version as publishe
Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
In this paper we show how one can obtain very simply the spectra of the
PP-wave limits of M-theory over AdS_7(4) x S^4(7) spaces and IIB superstring
theory over AdS_5 x S^5 from the oscillator construction of the Kaluza-Klein
spectra of these theories over the corresponding spaces. The PP-wave symmetry
superalgebras are obtained by taking the number P of ``colors'' of oscillators
to be large (infinite). In this large P limit, the symmetry superalgebra
osp(8*|4) of AdS_7 x S^4 and the symmetry superalgebra osp(8|4,R) of AdS_4 x
S^7 lead to isomorphic PP-wave algebras, which is the semi-direct sum of
su(4|2) with H^(18,16), while the symmetry superalgebra su(2,2|4) of AdS_5 x
S^5 leads to the semi-direct sum of [psu(2|2) + psu(2|2) + u(1)] with H^(16,16)
as its PP-wave algebra [H^(m,n) denoting a super-Heisenberg algebra with m
bosonic and n fermionic generators]. The zero mode spectra of M-theory or IIB
superstring theory in the PP-wave limit corresponds simply to the unitary
positive energy representations of these algebras whose lowest weight vector is
the Fock vacuum of all the oscillators. General positive energy supermultiplets
including those corresponding to higher modes can similarly be constructed by
the oscillator method.Comment: Typos corrected; references added; minor modifications to improve
presentation; 37 pages, LaTeX fil
A thermal instability for positive brane cosmological constant in the Randall-Sundrum cosmologies
We describe a novel dynamical mechanism to radiate away a positive four
dimensional cosmological constant, in the Randall-Sundrum cosmological
scenario. We show that there are modes of the bulk gravitational field for
which the brane is effectively a mirror. This will generally give rise to an
emission of thermal radiation from the brane into the bulk. The temperature
turns out to be nonvanishing only if the effective four dimensional
cosmological constant is positive. In any theory where the four dimensional
vacuum energy is a function of physical degrees of freedom, there is then a
mechanism that radiates away any positive four dimensional cosmological
constant.Comment: 14 pages. The discussion on the relation between temperature and
effective 4d cosmological constant is changed. References are adde
SH3TC2, a protein mutant in Charcot-Marie-Tooth neuropathy, links peripheral nerve myelination to endosomal recycling
Patients with Charcot-Marie-Tooth neuropathy and gene targeting in mice revealed an essential role for the SH3TC2 gene in peripheral nerve myelination. SH3TC2 expression is restricted to Schwann cells in the peripheral nervous system, and the gene product, SH3TC2, localizes to the perinuclear recycling compartment. Here, we show that SH3TC2 interacts with the small guanosine triphosphatase Rab11, which is known to regulate the recycling of internalized membranes and receptors back to the cell surface. Results of protein binding studies and transferrin receptor trafficking are in line with a role of SH3TC2 as a Rab11 effector molecule. Consistent with a function of Rab11 in Schwann cell myelination, SH3TC2 mutations that cause neuropathy disrupt the SH3TC2/Rab11 interaction, and forced expression of dominant negative Rab11 strongly impairs myelin formation in vitro. Our data indicate that the SH3TC2/Rab11 interaction is relevant for peripheral nerve pathophysiology and place endosomal recycling on the list of cellular mechanisms involved in Schwann cell myelinatio
Superconformal symmetry and maximal supergravity in various dimensions
In this paper we explore the relation between conformal superalgebras with 64
supercharges and maximal supergravity theories in three, four and six
dimensions using twistorial oscillator techniques. The massless fields of N=8
supergravity in four dimensions were shown to fit into a CPT-self-conjugate
doubleton supermultiplet of the conformal superalgebra SU(2,2|8) a long time
ago. We show that the fields of maximal supergravity in three dimensions can
similarly be fitted into the super singleton multiplet of the conformal
superalgebra OSp(16|4,R), which is related to the doubleton supermultiplet of
SU(2,2|8) by dimensional reduction. Moreover, we construct the ultra-short
supermultiplet of the six-dimensional conformal superalgebra OSp(8*|8) and show
that its component fields can be organized in an on-shell superfield. The
ultra-short OSp(8*|8) multiplet reduces to the doubleton supermultiplet of
SU(2,2|8) upon dimensional reduction. We discuss the possibility of a chiral
maximal (4,0) six-dimensional supergravity theory with USp(8) R-symmetry that
reduces to maximal supergravity in four dimensions and is different from
six-dimensional (2,2) maximal supergravity, whose fields cannot be fitted into
a unitary supermultiplet of a simple conformal superalgebra. Such an
interacting theory would be the gravitational analog of the (2,0) theory.Comment: 54 pages, PDFLaTeX, Section 5 and several references added. Version
accepted for publication in JHE
Topological wave functions and heat equations
It is generally known that the holomorphic anomaly equations in topological
string theory reflect the quantum mechanical nature of the topological string
partition function. We present two new results which make this assertion more
precise: (i) we give a new, purely holomorphic version of the holomorphic
anomaly equations, clarifying their relation to the heat equation satisfied by
the Jacobi theta series; (ii) in cases where the moduli space is a Hermitian
symmetric tube domain , we show that the general solution of the anomaly
equations is a matrix element \IP{\Psi | g | \Omega} of the
Schr\"odinger-Weil representation of a Heisenberg extension of , between an
arbitrary state and a particular vacuum state .
Based on these results, we speculate on the existence of a one-parameter
generalization of the usual topological amplitude, which in symmetric cases
transforms in the smallest unitary representation of the duality group in
three dimensions, and on its relations to hypermultiplet couplings, nonabelian
Donaldson-Thomas theory and black hole degeneracies.Comment: 50 pages; v2: small typos fixed, references added; v3: cosmetic
changes, published version; v4: typos fixed, small clarification adde
Unified Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Five Dimensions
Unified N=2 Maxwell-Einstein supergravity theories (MESGTs) are supergravity
theories in which all the vector fields, including the graviphoton, transform
in an irreducible representation of a simple global symmetry group of the
Lagrangian. As was established long time ago, in five dimensions there exist
only four unified Maxwell-Einstein supergravity theories whose target manifolds
are symmetric spaces. These theories are defined by the four simple Euclidean
Jordan algebras of degree three. In this paper, we show that, in addition to
these four unified MESGTs with symmetric target spaces, there exist three
infinite families of unified MESGTs as well as another exceptional one. These
novel unified MESGTs are defined by non-compact (Minkowskian) Jordan algebras,
and their target spaces are in general neither symmetric nor homogeneous. The
members of one of these three infinite families can be gauged in such a way as
to obtain an infinite family of unified N=2 Yang-Mills-Einstein supergravity
theories, in which all vector fields transform in the adjoint representation of
a simple gauge group of the type SU(N,1). The corresponding gaugings in the
other two infinite families lead to Yang-Mills-Einstein supergravity theories
coupled to tensor multiplets.Comment: Latex 2e, 28 pages. v2: reference added, footnote 14 enlarge
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