Dual versions of extended supergravities

Recently, using the model of N=2 supergravity -- vector multiplets interaction with the scalar field geometry $SU(1,m)/SU(m)\otimes U(1)$ as an example, we have shown that even when the scalar field geometry is fixed, one can have a whole family of the Lagrangians, which differ by vector field duality transformation. In this paper we carry out the construction of such families for the case of N=3 and N=4 supergravities, the scalar field geometry being $SU(3,m)/SU(3)\otimes SU(m)\otimes U(1)$ and $SU(1,1)/U(1)\otimes O(6,m)/O(6)\otimes O(m)$, correspondingly. Moreover, it turns out that these families contain, as a partial case, the models describing the interaction of arbitrary number of vector multiplets with our hidden sectors, admitting spontaneous supersymmetry breaking without a cosmological term.Comment: 9 pages, plain LaTeX, no figure

Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields

We develop the BRST approach to gauge invariant Lagrangian construction for the massive mixed symmetry integer higher spin fields described by the rank-two Young tableaux in arbitrary dimensional Minkowski space. The theory is formulated in terms of auxiliary Fock space. No off-shell constraints on the fields and the gauge parameters are imposed. The approach under consideration automatically leads to a gauge invariant Lagrangian for massive theory with all appropriate Stuckelberg fields. It is shown that all the restrictions defining an irreducible representation of the Poincare group arise from Lagrangian formulation as a consequence of the equations of motion and gauge transformations. As an example of the general procedure, we derive the gauge-invariant Lagrangian for massive rank-2 antisymmetric tensor field containing the complete set of auxiliary fields and gauge parameters.Comment: v2: 15 pages, references added, minor changes, version accepted for publication in PL

Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian theory is a reducible gauge model containing, besides the basic field, a number of auxiliary (Stuckelberg) fields and the order of reducibility grows with the value of the rank of the antisymmetric field. However, unlike the generic higher spin theory, for the special case under consideration we show that one can get rid of all the auxiliary fields and the final Lagrangian for fermionic antisymmetric field is formulated only in terms of basic field.Comment: 22 pages; v2: 1 footnote and 2 references adde

Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions

We develop the BRST approach to Lagrangian formulation for massive higher integer spin fields on a flat space-time of arbitrary dimension. General procedure of gauge invariant Lagrangian construction describing the dynamics of massive bosonic field with any spin is given. No off-shell constraints on the fields (like tracelessness) and the gauge parameters are imposed. The procedure is based on construction of new representation for the closed algebra generated by the constraints defining an irreducible massive bosonic representation of the Poincare group. We also construct Lagrangian describing propagation of all massive bosonic fields simultaneously. As an example of the general procedure, we derive the Lagrangians for spin-1, spin-2 and spin-3 fields containing total set of auxiliary fields and gauge symmetries of free massive bosonic higher spin field theory.Comment: 27 page

BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space

We develop a general gauge invariant Lagrangian construction for half-integer higher spin fields in the AdS space of any dimension. Starting with formulation in terms of auxiliary Fock space we derive the closed nonlinear symmetry algebras of higher spin fermionic fields in the AdS space and find the corresponding BRST operator. A universal procedure of constructing the gauge invariant Lagrangians describing the dynamics of fermionic fields of any spin is developed. No off-shell constraints for the fields and gauge parameters are imposed from the very beginning. It is shown that all the constraints determining the irreducible representation of the AdS group arise as a consequence of the equations of motion and gauge transformations. As an example of the general procedure, we derive the gauge invariant Lagrangians for massive fermionic fields of spin 1/2 and 3/2 containing the total set of auxiliary fields and gauge symmetries.Comment: Minor changes. Version accepted for publication in NP

Better binary list-decodable codes via multilevel concatenation

Abstract. We give a polynomial time construction of binary codes with the best currently known trade-off between rate and error-correction radius. Specifically, we obtain linear codes over fixed alphabets that can be list decoded in polynomial time up to the so called Blokh-Zyablov bound. Our work builds upon [7] where codes list decodable up to the Zyablov bound (the standard product bound on distance of concatenated codes) were constructed. Our codes are constructed via a (known) generalization of code concatenation called multilevel code concatenation. A probabilistic argument, which is also derandomized via conditional expectations, is used to show the existence of inner codes with a certain nested list decodability property that is appropriate for use in multilevel concatenated codes. A “level-by-level ” decoding algorithm, which crucially uses the list recovery algorithm for folded Reed-Solomon codes from [7], enables list decoding up to the designed distance bound, aka the Blokh-Zyablov bound, for multilevel concatenated codes

Rumen digestion, physiological state and performance of steers when fed with processed field pea grain

It was determined that when processing high protein grain with organic acid, it is used by young cattle more efficiently. As a result, protein degradability in the rumen is decreased by 18 p.p., the ammonia level decreases in the rumen fluid by 17,5%, ciliates level – by 2,4% and the amount of volatile fatty acids increases by 1,6%. The animals were clinically healthy, all the hematological parameters were within physiological standards. Higher hemoglobin level was determined in blood of animals of the experimental group by 3,1%, total protein – by 5,6, calcium – by 4,7 and phosphorus – by 5,4%, respectively, while the amount of glucose and urea decreased by 2,1% and 7,4%, which ensures increase of feed efficiency: the growth energy of animals increases by 6,8%, the cost of feed and protein for weight gain is reduced by 3,3 and 3,2%.Установлено, что при обработке зерна с высоким содержанием белка органической кислотой повышается эффективность использования его молодняком крупного рогатого скота. В результате расщепляемость протеина в рубце снижается на 18 п.п., в рубцовой жидкости уменьшается содержание аммиака на 17,5%, инфузорий на 2,4% и повышается количество летучих жирных кислот на 1,6%. Животные были клинически здоровы, все гематологические показатели находились в пределах физиологических норм. В крови животных опытной группы установлено Более высокое содержание гемоглобина (на 3,1%), общего белка (на 5,6), кальция (на 4,7) и фосфора (на 5,4%) при снижении количества глюкозы и мочевины на 2,1 и 7,4%, что обеспечивает повышение эффективности использования кормов: энергия роста животных увеличивается на 6,8%, затраты кормов и протеина на получение прироста снижаются на 3,3 и 3,2%