Supersymmetric black holes in 2D dilaton supergravity: baldness and extremality

We present a systematic discussion of supersymmetric solutions of 2D dilaton supergravity. In particular those solutions which retain at least half of the supersymmetries are ground states with respect to the bosonic Casimir function (essentially the ADM mass). Nevertheless, by tuning the prepotential appropriately, black hole solutions may emerge with an arbitrary number of Killing horizons. The absence of dilatino and gravitino hair is proven. Moreover, the impossibility of supersymmetric dS ground states and of nonextremal black holes is confirmed, even in the presence of a dilaton. In these derivations the knowledge of the general analytic solution of 2D dilaton supergravity plays an important role. The latter result is addressed in the more general context of gPSMs which have no supergravity interpretation. Finally it is demonstrated that the inclusion of non-minimally coupled matter, a step which is already nontrivial by itself, does not change these features in an essential way.Comment: 30 pages, LaTeX, v2: mayor revision (rearranged title, shortened abstract, revised introduction, inserted section from appendix to main text, added subsection with new material on non-SUGRA gPSMs, added clarifying remarks at some places, updated references); v3: corrected minor misprints, added note with a new referenc

Linear derivative Cartan formulation of General Relativity

Beside diffeomorphism invariance also manifest SO(3,1) local Lorentz invariance is implemented in a formulation of Einstein Gravity (with or without cosmological term) in terms of initially completely independent vielbein and spin connection variables and auxiliary two-form fields. In the systematic study of all possible embeddings of Einstein gravity into that formulation with auxiliary fields, the introduction of a ``bi-complex'' algebra possesses crucial technical advantages. Certain components of the new two-form fields directly provide canonical momenta for spatial components of all Cartan variables, whereas the remaining ones act as Lagrange multipliers for a large number of constraints, some of which have been proposed already in different, less radical approaches. The time-like components of the Cartan variables play that role for the Lorentz constraints and others associated to the vierbein fields. Although also some ternary ones appear, we show that relations exist between these constraints, and how the Lagrange multipliers are to be determined to take care of second class ones. We believe that our formulation of standard Einstein gravity as a gauge theory with consistent local Poincare algebra is superior to earlier similar attempts.Comment: more corrected typos, added reference

Poisson-sigma model for 2D gravity with non-metricity

We present a Poisson-sigma model describing general 2D dilaton gravity with non-metricity, torsion and curvature. It involves three arbitrary functions of the dilaton field, two of which are well-known from metric compatible theories, while the third one characterizes the local strength of non-metricity. As an example we show that alpha' corrections in 2D string theory can generate (target space) non-metricity.Comment: 9 page

Latency of the pupil light reflex: sample rate, stimulus intensity, and variation in normal subjects

PURPOSE. To investigate the clinical usefulness of the latency of the pupil light reflex by optimizing its measurement, characterizing its variability, and determining the sensitivity of pupil latency as a function of stimulus input in normal subjects. METHODS. Computerized binocular infrared pupillography was performed in 14 eyes of seven healthy subjects. Pupils were recorded simultaneously at 60 and 1000 Hz. Each eye was alternatively stimulated eight times for 50 ms every 2.5 seconds, increasing by 0.5 log units over a 2.0-log-unit range. To determine intersubject and intereye variability, 98 eyes of 49 healthy subjects were recorded at 60 Hz over a 3.0-log-unit range (15°radius stimulation, four repetitions at each intensity). RESULTS. Accuracy and resolution of latency were limited by the number of light reflexes used to estimate the average latency and were significantly affected by sampling rate when the number of reflexes recorded was fewer than four. Binocular recording and interpolation of the 60-Hz recording to 300 Hz added resolution to the latency. Biological variability contributed more to interindividual variability than did measurement variability. The range of intereye afferent asymmetry of latency in normal subjects was only between 8.3 and 35 ms-less with brighter stimulus intensity. CONCLUSIONS. An optimal method for determination of the onset of the pupil light reflex was devised that consisted of filtering, interpolation of pupil recordings, and analysis of the first and second derivative of the pupil movement. Most of the variability in latency as a function of intensity in normal subjects was due to interindividual variation and latency was well matched between the two eyes of the subjects. (Invest Ophthalmol Vis Sci. 2003;44:1546 -155

Sôbre uma modificação no método de Neubauer

O presente trabalho relata os dados obtidos, segundo uma modificação do método de Neubauer, comparados aos obtidos pelo método usual do citado autor. A modificação consistiu no uso de cristalizadores menores e no emprêgo de um número de plantas e de um pêso de terra muito menores. Assim, foram colocadas 25 sementes de arroz em 20 g de terra, intimamente misturadas com 40 g de areia de praia lavada, em cristalizadores de 80 mm de diâmetro, por 20 mm de altura. Decorridos 18 dias após a germinação, as plantas foram colhidas, incineradas e o potássio foi determinado por fotômetro de chama. Os resultados foram comparados com os dados obtidos através de um experimento feito com as mesmas amostras de terra e no mesmo tempo, conforme a técnica usual de Neubauer. Praticamente, os dois métodos se equivalem, conforme mostram os dados do quadro 1 em Resultados e Discussão. As principais vantagens do método modificado, em relação ao método usual de Neubauer, podem ser resumidas nas seguintes: redução do pêso da amostra de 100 para 20 g e redução do pêso da areia de praia lavada de 350 para 70 g; redução da área ocupada pelos cristalizadores para menos de um terço; redução do número de plantas para um quarto (de 100 para 25 plantas) e redução do trabalho exigido para a execução do método, desde o preparo dos cristalizadores, até o preparo das plantas, incineração e análise.A MODIFICATION OF THE NEUBAUER'S METHOD This paper reports the data obtained, from a modification of the Neubauer method, as compared to the data obtained from the original one. The modification consistec of using smaller crystallizing dishes, and both a very small number of seedling and weight of soil. Thus, there were seeded 25 rice grains in 20 g of soil, very well mixed with 40 g of beach washed sand, in crystallizing dishes having 8C mm in diameter and 20 mm in height. Eighteen days after germination, the seedling were pulled out, their roots washed dried, ashed and its potassium determined by the flame photometer method. The results were compared with the data obtained from an experiment carried on with the same soil samples, at the same time, according to the usual Neubauer technique. Both methods are practically equivalent, as can be seen from the data on Table I in Results and Conclusions, in the Portuguese text. The main advantages of the modified method over the usual Neubauer method may be summarized as follows: reduction of both the soil sample weight from 100 to 20 g and the washed sand from 350 g to 70 g; the room taken by the crystallizing dishes is less than one third; the number of seedlings is reduced to one forth (from 100 to 25) and it takes less work for the handling of the experiment in all its steps

Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra

Fermionic extensions of generic 2d gravity theories obtained from the graded Poisson-Sigma model (gPSM) approach show a large degree of ambiguity. In addition, obstructions may reduce the allowed range of fields as given by the bosonic theory, or even prohibit any extension in certain cases. In our present work we relate the finite W-algebras inherent in the gPSM algebra of constraints to algebras which can be interpreted as supergravities in the usual sense (Neuveu-Schwarz or Ramond algebras resp.), deformed by the presence of the dilaton field. With very straightforward and natural assumptions on them --like demanding rigid supersymmetry in a certain flat limit, or linking the anti-commutator of certain fermionic charges to the Hamiltonian constraint-- in the ``genuine'' supergravity obtained in this way the ambiguities disappear, as well as the obstructions referred to above. Thus all especially interesting bosonic models (spherically reduced gravity, the Jackiw-Teitelboim model etc.)\ under these conditions possess a unique fermionic extension and are free from new singularities. The superspace supergravity model of Howe is found as a special case of this supergravity action. For this class of models the relation between bosonic potential and prepotential does not introduce obstructions as well.Comment: 22 pages, LaTeX, JHEP class. v3: Final version, to appear in JHE

On the quest for unification - simplicity and antisimplicity

The road towards unification of elementary interactions is thought to start on the solid ground of a universal local gauge principle. I discuss the different types of bosonic gauge symmetries in gravitational and nongravitational (standard model) interactions and their extensions both fermionic, bosonic and with respect to space-time dimensions. The apparently paradoxical size and nature of the cosmological constant is sketched, which at first sight does not readily yield a clue as to the envelopping symmetry structure of a unified theory. Nevertheless a tentative outlook is given encouraging to proceed on this road.Comment: 29 pages, 4 figure

O método potenciométrico na determinação do H+ trocável em solos

For the determination of exchangeable hydrogen ion in soils, the authors of the presente work made the extraction with normal calcium acetate solution that may have an initial pH between 7 and 8 without altering the amount of hydrogen ion extracted. The extraction was made by shaking 5,0 grams of air dry soil with 100 ml of normal calcium acetate solution, the pH of wich was ascertained to 7,0, 7,5 and 8,0 with acetic acid, in 250 mil conical flasks for 30 minutes in a Wagner shaker (30-40 rpm). The contents of the flasks were then, filtered. A 50 ml aliquot of each of the leachate was titrated with a 0,020 N NaOH solution and the volumes consumed sodium hydroxide were ploted against pH. The titration curves thus obtained showed to be straight lines between pH 8 and 9 and parallel to the curve obtained by the titration of the blank. Two ways of locating the end point of the titration showed to be possible: the use of a pHmeter or titrimeter or the use of phenolphtalein as indicator. When using a pH meter or a titrimeter, the end point may rest in any point between pH 8 and 9, and the volume of sodium hydroxide consumed is found by comparison with a similar curve obtained by the titration of the blank. When using phenolphtalein the calcium acetate solution must have a pH below 8

Cálcio e fósforo no leite da região de Piracicaba

Twelve samples of fluid milk delivered by "Laticínios Piracicaba Ltda." for public consumption, from March 25 do August 7, 1959, were analysed to determine its calcium and phosphorus content per 100 ml. A slight variation was observed. Calcium varied from 119 to 136 mg and phosphorus from 83 to 91 mg. These results are comparable to the ones obtained in other countries, showing that calcium and phosphorus content in cow milk is almost invariable

Estudos sobre a nutrição mineral do feijão macassar (Vigna sinensis (L) Endl.). V: chave para a identificação de deficiências minerais

Symptoms of deficiency of macro and micronutrients were induced in Vigna sinensis by growing two cultivars in nutrient solution under the necessary treatments. Results there of were used to prepare a key which could be used in the visual diagnosis of mineral deficiencies. As a rule, the information obtained is in agreement with result found in the literature for other legumes. It is noteworthy, however, that symptoms of Mo and Zn first showed up in older leaves.É apresentada uma chave para identificação visual das deficiências de macro e de micronutrientes em Vigna sinensis