Journals
2016 EN
Rousson Johanna · De Visschere Patrick · Vasiliev Anton
+2 more
The tendency of the display market is towards displays with higher resolutions. Therefore, patterned retarder‐based stereoscopic displays require smaller front glass thickness to maintain good vertical viewing angle and limited crosstalk. To properly design these stereoscopic displays and quantify these requirements, we developed a simulation platform to predict radiance, polarization profile, and crosstalk over viewing angles and over wavelengths. Tunable parameters such as the distance between the pixels and the patterned retarder, and the optical properties of the patterned retarder are included. The simulation platform has been validated by comparing outcomes of simulations with measurements. We predict crosstalk accounting for both the human eye field of view and the diameter of the pupil. We found that to obtain a vertical viewing angle of at least ± 30° and crosstalk of at most 0.11 for a display with a pixel pitch beyond 0.27 mm, the display should include black absorbers, and the thickness of the front glass should be at most 0.5 mm. For higher resolution displays (pixel pitch no more than 0.21 mm), a front glass thickness at most 0.15 mm is required to produce a vertical viewing angle beyond ± 14° and a minimum viewing distance of 0.3 m.
Journals
2016 EN
Karpov G. V. · Vasiliev E. S. · Morozov I. I.
+3 more
A mass spectrographic method electrospraying electrolyte solutions in vacuum was used to determine the enthalpy of hydration of bromine ions by different numbers of water molecules. The mass spectra of negative ions from aqueous solutions of NaBr were measured over the temperature range of 15–50°C and showed that the most intense peaks correspond to the hydrated bromine ions with one and two water molecules. It was found that the Van't Hoff equation holds for bromine hydrates containing up to three water molecules, whereas addition of the fourth water molecule leads to a violation of the Van't Hoff equation. The enthalpy of bromine ion hydration by the first and the second water molecules was found to be –(28.5 ± 1.7) and –(21 ± 4.2) kJ/mol, respectively.
Journals
2016 EN
Ivan I. Shevchenko
Algorithms of numeric (in exact arithmetic) deduction of analyticalexpressions, proposed and described by Shevchenko and Vasiliev (1993), aredeveloped and implemented in a computer algebra code. This code is built as asuperstructure for the computer algebra package by Shevchenko and Sokolsky(1993a) for normalization of Hamiltonian systems of ordinary differentialequations, in order that high complexity problems of normalization could besolved. As an example, a resonant normal form of a Hamiltonian describing thehyperboloidal precession of a dynamically symmetric satellite is derived bymeans of the numeric deduction technique. The technique provides a considerableeconomy, about 30 times in this particular application, in computer memoryconsumption. It is naturally parallelizable. Thus the economy of memoryconsumption is convertible into a gain in computation speed.
Journals
2016 EN
Carlo Iazeolla · Joris Raeymaekers
We construct simple solutions of three-dimensional higher spin gravityinteracting with matter in which only the scalar and spin-two fields areexcited. They preserve Lorentz symmetry and are similar to the four-dimensionalsolutions constructed by Sezgin and Sundell, with the difference that theadditional twisted sectors of the three-dimensional theory are excited.Furthermore, the three-dimensional system contains an extra parameter $\lambda$which allows us to vary the mass of the scalar. Among other reasons, theresulting solutions are interesting for the holographic study of cosmologicalsingularities: they describe the growth of a Coleman-De Luccia bubble inanti-de Sitter space, ending in a big crunch singularity. We initiate theholographic study of these solutions, finding evidence for their interpretationwithin a multi-trace deformation which renders the dual field theory unstable.The limit $\lambda \to 0$ is particularly interesting as it captures effects ofa running coupling in a large-$N$ interacting fermion model. We also propose ageneralization of our solutions, consisting of a dressing withLorentz-invariant projectors. This additional sector remains non-trivial whenthe scalar field is turned off.
Journals
2016 EN
Roberto Bonezzi · Nicolas Boulanger · Ergin Sezgin
+1 more
We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev'smatter coupled higher spin gravity in three dimensions. The action isformulated on ${\cal X}_4 \times {\cal Z}_2$ where ${\cal X}_4$ is an openmanifold whose boundary contains spacetime and ${\cal Z}_2$ is a noncommutativetwistor space. We examine various consistent truncations to models of BF typein ${\cal X}_4$ and ${\cal Z}_2$ with B$^2$ terms and central elements. Theyare obtained by integrating out the matter fields in the presence of a vacuumexpectation value $\nu\in \mathbb{R}$ for the zero-form master field. For$\nu=0$, we obtain a model on ${\cal X}_4$ containing Blencowe's action and amodel on ${\cal Z}_2$ containing the Prokushkin--Segal--Vasiliev action. Forgeneric $\nu$ (including $\nu=0$), we propose an alternative model on ${\calX}_4$ with gauge fields in the Weyl algebra of Wigner's deformed oscillatoralgebra and Lagrange multipliers in the algebra of operators acting in the Fockrepresentation space of the deformed oscillators.
Journals
2016 EN
Xavier Bekaert · Jeong-Hyuck Park
We construct a double field theory coupled to the fields present inVasiliev's equations. Employing the "semi-covariant" differential geometry, wespell a functional in which each term is completely covariant with respect to$\mathbf{O}(4,4)$ T-duality, doubled diffeomorphisms, $\mathbf{Spin}(1,3)$local Lorentz symmetry and, separately, $\mathbf{HS}(4)$ higher spin gaugesymmetry. We identify a minimal set of BPS-like conditions whose solutionsautomatically satisfy the full Euler-Lagrange equations. As such a solution, wederive a linear dilaton vacuum. With extra algebraic constraints furthersupplemented, the BPS-like conditions reduce to the bosonic Vasiliev equations.
Journals
2016 EN
V. E. Didenko · N. G. Misuna · M. A. Vasiliev
A new scheme of the perturbative analysis of the nonlinear HS equations isdeveloped giving directly the final result for the successive application ofthe homotopy integrations which appear in the standard approach. It drasticallysimplifies the analysis and results from the application of the standardspectral sequence approach to the higher-spin covariant derivatives, allowingus in particular to reduce multiple homotopy integrals resulting from thesuccessive application of the homotopy trick to a single integral. Efficiencyof the proposed method is illustrated by various examples. In particular, it isshown how the Central on-shell theorem of the free theory immediately resultsfrom the nonlinear HS field equations with no intermediate computations.
Journals
2016 EN
Shinji Hirano · Masazumi Honda · Kazumi Okuyama
+1 more
We study the conjecture made by Chang, Minwalla, Sharma, and Yin on theduality between the N=6 Vasiliev higher spin theory on AdS_4 and the N=6Chern-Simons-matter theory, so-called ABJ theory, with gauge group U(N) xU(N+M). Building on our earlier results on the ABJ partition function, wedevelop the systematic 1/M expansion, corresponding to the weak couplingexpansion in the higher spin theory, and compare the leading 1/M correction,with our proposed prescription, to the one-loop free energy of the N=6 Vasilievtheory. We find an agreement between the two sides up to an ambiguity thatappears in the bulk one-loop calculation.
Journals
2016 EN
O. A. Gelfond · M.A. Vasiliev
A bstractSp(2M) invariant field equations in the space ℳM with symmetric matrix coordinates are classified. Analogous results are obtained for Minkowski-like subspaces of ℳM which include usual 4d Minkowski space as a particular case. The constructed equations are associated with the tensor products of the Fock (singleton) representation of Sp(2M) of any rank r. The infinite set of higher-spin conserved currents multilinear in rank-one fields in ℳM is found. The associated conserved charges are supported by rM−rr−12$$ \mathrm{r}M-\frac{\mathrm{r}\left(\mathrm{r}-1\right)}{2} $$-dimensional differential forms in ℳM , that are closed by virtue of the rank-2r field equations. The cohomology groups Hp(σ−r) with all p and r, which determine the form of appropriate gauge fields and their field equations, are found both for ℳM and for its Minkowski-like subspace.
Journals
2016 EN
Eric Perlmutter
Thermal states of quantum systems with many degrees of freedom are subject toa bound on the rate of onset of chaos, including a bound on the Lyapunovexponent, $\lambda_L\leq 2\pi /\beta$. We harness this bound to constrain thespace of putative holographic CFTs and their would-be dual theories of AdSgravity. First, by studying out-of-time-order four-point functions, we discusshow $\lambda_L=2\pi/\beta$ in ordinary two-dimensional holographic CFTs isrelated to properties of the OPE at strong coupling. We then rule out theexistence of unitary, sparse two-dimensional CFTs with large central charge anda set of higher spin currents of bounded spin; this implies the inconsistencyof weakly coupled AdS$_3$ higher spin gravities without infinite towers ofgauge fields, such as the $SL(N)$ theories. This fits naturally with thestructure of higher-dimensional gravity, where finite towers of higher spinfields lead to acausality. On the other hand, unitary CFTs with classical$W_{\infty}[\lambda]$ symmetry, dual to 3D Vasiliev or hs[$\lambda$] higherspin gravities, do not violate the chaos bound, instead exhibiting no chaos:$\lambda_L=0$. Independently, we show that such theories violate unitarity for$|\lambda|>2$. These results encourage a tensionless string theoryinterpretation of the 3D Vasiliev theory. We also perform some CFT calculationsof chaos in Rindler space in various dimensions.