2,383 research outputs found
generalizations of superconformal Galilei algebras and their representations
We introduce two classes of novel color superalgebras of grading. This is done by realizing members of each in the
universal enveloping algebra of the supersymmetric extension of
the conformal Galilei algebra. This allows us to upgrade any representation of
the super conformal Galilei algebras to a representation of the graded algebra. As an example, boson-fermion Fock space
representation of one class is given. We also provide a vector field
realization of members of the other class by using a generalization of the
Grassmann calculus to graded setting.Comment: 17 pages, no figur
Lowest weight representations of super Schrodinger algebras in low dimensional spacetime
We investigate the lowest weight representations of the super Schrodinger
algebras introduced by Duval and Horvathy. This is done by the same procedure
as the semisimple Lie algebras. Namely, all singular vectors within the Verma
modules are constructed explicitly then irreducibility of the associated
quotient modules is studied again by the use of singular vectors. We present
the classification of irreducible Verma modules for the super Schrodinger
algebras in (1+1) and (2+1) dimensional spacetime with N = 1, 2 extensions.Comment: 10pages, talk given at GROUP28 conference New Castle 26-30th July
2010, reference adde
Generalized Arcsine Law and Stable Law in an Infinite Measure Dynamical System
Limit theorems for the time average of some observation functions in an
infinite measure dynamical system are studied. It is known that intermittent
phenomena, such as the Rayleigh-Benard convection and Belousov-Zhabotinsky
reaction, are described by infinite measure dynamical systems.We show that the
time average of the observation function which is not the function,
whose average with respect to the invariant measure is finite, converges to
the generalized arcsine distribution. This result leads to the novel view that
the correlation function is intrinsically random and does not decay. Moreover,
it is also numerically shown that the time average of the observation function
converges to the stable distribution when the observation function has the
infinite mean.Comment: 8 pages, 8 figure
Dilatonic Inflation and SUSY Breaking in String-inspired Supergravity
The theory of inflation will be investigated as well as supersymmetry
breaking in the context of supergravity, incorporating the target-space duality
and the nonperturbative gaugino condensation in the hidden sector. We found an
inflationary trajectory of a dilaton field and a condensate field which breaks
supersymmetry at once. The model satisfies the slow-roll condition which solves
the eta-problem. When the particle rolls down along the minimized trajectory of
the potential V(S,Y) at a duality invariant point of T=1, we can obtain the
e-fold value \sim 57. And then the cosmological parameters obtained from our
model well match the recent WMAP data combined with other experiments. This
observation suggests one to consider the string-inspired supergravity as a
fundamental theory of the evolution of the universe as well as the particle
theory.Comment: 10 pages, 4 eps figures. Typos and references corrected. Final
version to appear in Mod. Phys. Lett.
EMI challenges in Japan’s internationalisation of Higher Education
This chapter presents a literature-based overview of the potential challenges faced by higher education (HE) stakeholders (universities, faculty members and students) in Japan after the introduction of the Top Global University Project (TGUP) at their institutions. Despite the expansion of EMI, some recent studies (Rose and McKinley, Japan’s English-medium instruction initiatives and the globalisation of higher education. Higher Education, 75(1), 111–129, 2018; Aizawa and Rose, An analysis of Japan’s English as medium of instruction initiatives within higher education: the gap between meso-level policy and micro-level practice. Higher Education, 77(6), 1125–1142, 2019) have revealed that the TGUP is interpreted inconsistently. Substantial differences have been found in the understanding of different HE stakeholders when disseminated from the macro (government), meso (institution) to micro (classroom) level. To discuss potential implementation challenges, the chapter introduces recent Japanese government policy driving EMI at universities (i.e. TGUP), the implications for language planning, and how the policy is being put into practice at these universities at the different levels of policy
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