Simple derivation of general Fierz-type identities

General Fierz-type identities are examined and their well-known connection with completeness relations in matrix vector spaces is shown. In particular, I derive the chiral Fierz identities in a simple and systematic way by using a chiral basis for the complex 4 X 4 matrices. Other completeness relations for the fundamental representations of SU(N) algebras can be extracted using the same reasoning. (c) 2005 American Association of Physics Teachers.

Pure spinor superspace identities for massless four-point kinematic factors

Using the pure spinor formalism we prove identities which relate the tree-level, one-loop and two-loop kinematic factors for massless four-point amplitudes. From these identities it follows that the complete supersymmetric one- and two-loop amplitudes are immediately known once the tree-level kinematic factor is evaluated. In particular, the two-loop equivalence with the RNS formalism (up to an overall coefficient) is obtained as a corollary.

Brazilian identities: compositions and recompositions

The Contemporary Challenges series - originally sponsored by the Research Deanship of the State University of São Paulo (Unesp) - aims at providing access to essays on crucial issues concerning the Brazilian society as a whole. With the publication of those titles, which systematically avoid unnecessary academic jargon though preserving scientific rigour, the university fulfills one of its essential tasks: that of disseminating the skills and knowledge reared within its quarters. In the present volume, focused upon sociological questions, the authors face the difficult job of grasping the intricate horizon of complexities of Brazilian identity and their presence in the current national dilemmas.

Bianchi identities for an N=2, d=5 supersymmetric Yang-Mills theory on the group manifold

The purpose of this note is the construction of a geometrical structure for a supersymmetric N = 2, d = 5 Yang-Mills theory on the group manifold. From a general hypothesis proposed for the curvatures of the theory, the Bianchi identities are solved, whose solution will be fundamental for the construction of the geometrical action for the N = 2, d = 5 supergravity and Yang-Mills coupled theory.

Identities among actin-encoding cDNAs of the Nile tilapia (Oreochromis niloticus) and other eukaryote species revealed by nucleotide and amino acid sequence analyses

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

The complex construction of psychological identities in Palestine: Integrating narratives and life experiences

Palestinian youth is challenged by multiple discourses in the process of constitution of its identity. This discursive multiplicity, characteristic of contemporary global societies, is confronted with personal life experiences, giving meaning to primarily nebulous affective impacts in the social environment. Starting from a semiotic-cultural perspective in cultural psychology one can establish a link between the notion of master narrative used by Hammack (2010) and the notion of myth-using the conception of ideology as a bridge that articulates both. Antinomies in the self-biographic narratives presented and discussed by Hammack (2010) support the master narrative of Palestinian identity and enter into interactions with other psychological identities of the interviewed youngsters, such as their religious tradition and secular education. Symbolic elements that are brought to the identity-making process by the diverse narratives are to be seen as resources for the comprehension of life experiences, demanding an integrative effort in the face of what is known and unknown in relation to alterity.

Higher identities for the ternary commutator

We use computer algebra to study polynomial identities for the trilinear operation [a, b, c] = abc - acb - bac + bca + cab - cba in the free associative algebra. It is known that [a, b, c] satisfies the alternating property in degree 3, no new identities in degree 5, a multilinear identity in degree 7 which alternates in 6 arguments, and no new identities in degree 9. We use the representation theory of the symmetric group to demonstrate the existence of new identities in degree 11. The only irreducible representations of dimension <400 with new identities correspond to partitions 2(5), 1 and 2(4), 1(3) and have dimensions 132 and 165. We construct an explicit new multilinear identity for partition 2(5), 1 and we demonstrate the existence of a new non-multilinear identity in which the underlying variables are permutations of a(2)b(2)c(2)d(2)e(2) f.

Special identities for Bol algebras

Bol algebras appear as the tangent algebra of Bol loops. A (left) Bol algebra is a vector space equipped with a binary operation [a, b] and a ternary operation {a, b, c} that satisfy five defining identities. If A is a left or right alternative algebra then A(b) is a Bol algebra, where [a, b] := ab - ba is the commutator and {a, b, c} := < b, c, a > is the Jordan associator. A special identity is an identity satisfied by Ab for all right alternative algebras A, but not satisfied by the free Bol algebra. We show that there are no special identities of degree <= 7, but there are special identities of degree 8. We obtain all the special identities of degree 8 in partition six-two. (C) 2011 Elsevier Inc. All rights reserved.

The identities of the Brazilian female athlete: the "points of temporary attachment" of women in sports

The aim of this study is to analyze the formation of the Brazilian Olympic female athletes' identities and the construction of this social role both in the Olympic scene as in Brazilian social context. The results, when compared with previous researches and the theoretical approach allows to conclude that even after inclusion of the growing Brazilian women in several sports - including pointing out that this did not occur in the form of confrontation, just as in other countries - this does not represent a rethinking of the social roles of the female and male letting to the athletes maintain a separation between sports life and life as a woman.

Ward identities in Lifshitz-like field theories

In this work, we develop a normal product algorithm suitable to the study of anisotropic field theories in flat space, apply it to construct the symmetries generators and describe how their possible anomalies may be found. In particular, we discuss the dilatation anomaly in a scalar model with critical exponent z = 2 in six spatial dimensions.