1,143 research outputs found
Scottish social survey data, past, present and future â does Scotland need its own data strategy?
This is the final version of the article. The article was first published in Radical Statistics by the Radical Statistics Group and is available online via the link in this recordThe UK now has a National Data Strategy. In this paper we explore whether or not in addition Scotland needs its own specific data strategy. This paper is intended to be a âthink pieceâ or critical essay, the motivation being to encourage debate about Scottish social survey data. Post-devolution, with the emergence of new forms of governance and new institutional arrangements, the political desire to research Scotland in the 21st Century has been brought into sharper resolution. Social and economic life in Scotland shares both similarities and differences with life south of the border. It is important that these characteristics are correctly identified with empirical data rather than simply being assumed. Scotland is a small territory with a good social science tradition and a healthy research sector. There is an increasing amount of survey data collecting measures relating to social and economic life in Scotland. These include both United Kingdom or Great Britain based surveys with a Scottish component, and Scotland focussed surveys. In this paper we outline a number of key issues relating to Scottish social science data resources. We provide a number of critical recommendations for social science data collection in Scotland. Finally, we examine the potential benefits of a comprehensive data strategy
Super-Yang-Mills and M5-branes
We uplift 5-dimensional super-Yang-Mills theory to a 6-dimensional gauge
theory with the help of a space-like constant vector , whose norm
determines the Yang-Mills coupling constant. After the localization of
the 6D gauge theory acquires Lorentzian invariance as well as scale invariance.
We discuss KK states, instantons and the flux quantization. The 6D theory
admits extended solutions like 1/2 BPS `strings' and monopoles.Comment: 15 pages; minor changes, to appear in JHE
Nonabelian (2,0) Tensor Multiplets and 3-algebras
Using 3-algebras we obtain a nonabelian system of equations that furnish a
representation of the (2,0)-supersymmetric tensor multiplet. The on-shell
conditions are quite restrictive so that the system can be reduced to
five-dimensional gauge theory along with six-dimensional abelian (2,0) tensor
multiplets. We briefly discuss possible applications to D4-branes using a
spacelike reduction and M5-branes using a null reduction.Comment: 17 pages, Latex; v2: Typos corrected and references adde
BPS States on M5-brane in Large C-field Background
We extensively study BPS solutions of the low energy effective theory of
M5-brane in large C-field background. This provides us an opportunity to
explore the interactions turned on by C-field background through the
Nambu-Poisson structure. The BPS states considered in this paper include the
M-waves, the self-dual string (M2 ending on M5), tilted M5-brane, holomorphic
embedding of M5-brane and the intersection of two M5-branes along a 3-brane.Comment: 25 pages, reference adde
Constraints on Automorphic Forms of Higher Derivative Terms from Compactification
By dimensionally reducing the higher derivative corrections of
ten-dimensional IIB theory on a torus we deduce constraints on the E_{n+1}
automorphic forms that occur in d=10-n dimensions. In particular we argue that
these automorphic forms involve the representation of E_{n+1} with fundamental
weight \lambda^{n+1}, which is also the representation to which the string
charges in d dimensions belong. We also consider a similar calculation for the
reduction of higher derivative terms in eleven-dimensional M-theory.Comment: Minor corrections, to appear in JHE
Dp-branes, NS5-branes and U-duality from nonabelian (2,0) theory with Lie 3-algebra
We derive the super Yang-Mills action of Dp-branes on a torus T^{p-4} from
the nonabelian (2,0) theory with Lie 3-algebra. Our realization is based on Lie
3-algebra with pairs of Lorentzian metric generators. The resultant theory then
has negative norm modes, but it results in a unitary theory by setting VEV's of
these modes. This procedure corresponds to the torus compactification,
therefore by taking a transformation which is equivalent to T-duality, the
Dp-brane action is obtained. We also study type IIA/IIB NS5-brane and
Kaluza-Klein monopole systems by taking other VEV assignments. Such various
compactifications can be realized in the nonabelian (2,0) theory, since both
longitudinal and transverse directions can be compactified, which is different
from the BLG theory. We finally discuss U-duality among these branes, and show
that most of the moduli parameters in U-duality group are recovered. Especially
in D5-brane case, the whole U-duality relation is properly reproduced.Comment: 1+26 page
(1,0) superconformal models in six dimensions
We construct six-dimensional (1,0) superconformal models with non-abelian
gauge couplings for multiple tensor multiplets. A crucial ingredient in the
construction is the introduction of three-form gauge potentials which
communicate degrees of freedom between the tensor multiplets and the Yang-Mills
multiplet, but do not introduce additional degrees of freedom. Generically
these models provide only equations of motions. For a subclass also a
Lagrangian formulation exists, however it appears to exhibit indefinite metrics
in the kinetic sector. We discuss several examples and analyze the excitation
spectra in their supersymmetric vacua. In general, the models are
perturbatively defined only in the spontaneously broken phase with the vev of
the tensor multiplet scalars serving as the inverse coupling constants of the
Yang-Mills multiplet. We briefly discuss the inclusion of hypermultiplets which
complete the field content to that of superconformal (2,0) theories.Comment: 30 pages, v2: Note, some comments and references adde
(1,0) superconformal theories in six dimensions and Killing spinor equations
We solve the Killing spinor equations of 6-dimensional (1,0) superconformal
theories in all cases. In particular, we derive the conditions on the fields
imposed by the Killing spinor equations and demonstrate that these depend on
the isotropy group of the Killing spinors. We focus on the models proposed by
Samtleben et al in \cite{ssw} and find that there are solutions preserving 1,2,
4 and 8 supersymmetries. We also explore the solutions which preserve 4
supersymmetries and find that many models admit string and 3-brane solitons as
expected from the M-brane intersection rules. The string solitons are smooth
regulated by the moduli of instanton configurations.Comment: 26 page
Charged Chiral Fermions from M5-Branes
We study M5-branes wrapped on a multi-centred Taub-NUT space. Reducing to
String Theory on the circle fibration leads to D4-branes intersecting with
D6-branes. D-braneology shows that there are additional charged chiral fermions
from the open strings which stretch between the D4-branes and D6-branes. From
the M-theory point of view the appearance of these charged states is mysterious
as the M5-branes are wrapped on a smooth manifold. In this paper we show how
these states arise in the M5-brane worldvolume theory and argue that are
governed by a WZWN-like model where the topological term is five-dimensional.Comment: A reference to an equation number was correcte
M5-Branes, D4-Branes and quantum 5D super-Yang-Mills
We revisit the relation of the six-dimensional (2,0) M5-brane Conformal Field
Theory compactified on a circle to 5D maximally supersymmetric Yang-Mills Gauge
Theory. We show that in the broken phase 5D super-Yang-Mills contains a
spectrum of soliton states that can be identified with the complete
Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides
evidence that the (2,0) theory on a circle is equivalent to 5D super-Yang-Mills
with no additional UV degrees of freedom, suggesting that the latter is in fact
a well-defined quantum theory and possibly finite.Comment: 16 pages, Latex; v2: typos corrected and references added; v3:
expanded discussion of photon states and revised Higgs mechanism, conclusions
unchange
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