Higher-dimensional twistor transforms using pure spinors

Hughston has shown that projective pure spinors can be used to construct massless solutions in higher dimensions, generalizing the four-dimensional twistor transform of Penrose. In any even (euclidean) dimension d = 2n, projective pure spinors parameterize the coset space SO(2n)/U(n), which is the space of all complex structures on ℝ2n. For d = 4 and d = 6, these spaces are ℂℙ1 and ℂℙ3 and the appropriate twistor transforms can easily be constructed. In this paper, we show how to construct the twistor transform for d > 6 when the pure spinor satisfies nonlinear constraints, and present explicit formulas for solutions of the massless field equations. © SISSA/ISAS 2005.

Jacobi script v sign-functions and discrete Fourier transforms

Properties of the Jacobi script v sign3-function and its derivatives under discrete Fourier transforms are investigated, and several interesting results are obtained. The role of modulo N equivalence classes in the theory of script v sign-functions is stressed. An important conjecture is studied. © 2006 American Institute of Physics.

O processo de integração em Blaise Pascal

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Doença: sofrimento e vida nas filosofias de Friedrich Nietzsche e Blase Pascal

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Um filósofo na rua Erê: presença de Pascal em O amanuense Belmiro, de Cyro dos Anjos

Pós-graduação em Letras - FCLAS