212 research outputs found
-Algebra Models and Higher Chern-Simons Theories
We continue our study of zero-dimensional field theories in which the fields
take values in a strong homotopy Lie algebra. In a first part, we review in
detail how higher Chern-Simons theories arise in the AKSZ-formalism. These
theories form a universal starting point for the construction of
-algebra models. We then show how to describe superconformal field
theories and how to perform dimensional reductions in this context. In a second
part, we demonstrate that Nambu-Poisson and multisymplectic manifolds are
closely related via their Heisenberg algebras. As a byproduct of our
discussion, we find central Lie -algebra extensions of .
Finally, we study a number of -algebra models which are physically
interesting and which exhibit quantized multisymplectic manifolds as vacuum
solutions.Comment: 44 pages, minor corrections, published versio
Lie 2-algebra models
In this paper, we begin the study of zero-dimensional field theories with
fields taking values in a semistrict Lie 2-algebra. These theories contain the
IKKT matrix model and various M-brane related models as special cases. They
feature solutions that can be interpreted as quantized 2-plectic manifolds. In
particular, we find solutions corresponding to quantizations of R^3, S^3 and a
five-dimensional Hpp-wave. Moreover, by expanding a certain class of Lie
2-algebra models around the solution corresponding to quantized R^3, we obtain
higher BF-theory on this quantized space.Comment: 47 pages, presentation improved, version published in JHE
From accelerating and Poincar\'e coordinates to black holes in spacelike warped AdS, and back
We first review spacelike stretched warped AdS and we describe its black
hole quotients by using accelerating and Poincar\'e coordinates. We then
describe the maximal analytic extension of the black holes and present their
causal diagrams. Finally, we calculate spacetime limits of the black hole phase
space . This is done by requiring that the identification vector
has a finite non-zero limit. The limits we obtain are the
self-dual solution in accelerating or Poincar\'e coordinates, depending
respectively on whether the limiting spacetimes are non-extremal or extremal,
and warped AdS with a periodic proper time identification.Comment: 43 pages, 11 figures. v4: version to appear in CQG, presentation
changes (parts to appendices
On the Lie-algebraic origin of metric 3-algebras
Since the pioneering work of Bagger-Lambert and Gustavsson, there has been a
proliferation of three-dimensional superconformal Chern-Simons theories whose
main ingredient is a metric 3-algebra. On the other hand, many of these
theories have been shown to allow for a reformulation in terms of standard
gauge theory coupled to matter, where the 3-algebra does not appear explicitly.
In this paper we reconcile these two sets of results by pointing out the
Lie-algebraic origin of some metric 3-algebras, including those which have
already appeared in three-dimensional superconformal Chern-Simons theories.
More precisely, we show that the real 3-algebras of Cherkis-Saemann, which
include the metric Lie 3-algebras as a special case, and the hermitian
3-algebras of Bagger-Lambert can be constructed from pairs consisting of a
metric real Lie algebra and a faithful (real or complex, respectively) unitary
representation. This construction generalises and we will see how to construct
many kinds of metric 3-algebras from pairs consisting of a real metric Lie
algebra and a faithful (real, complex or quaternionic) unitary representation.
In the real case, these 3-algebras are precisely the Cherkis-Saemann algebras,
which are then completely characterised in terms of this data. In the complex
and quaternionic cases, they constitute generalisations of the Bagger-Lambert
hermitian 3-algebras and anti-Lie triple systems, respectively, which underlie
N=6 and N=5 superconformal Chern-Simons theories, respectively. In the process
we rederive the relation between certain types of complex 3-algebras and metric
Lie superalgebras.Comment: 29 pages (v4: really final version to appear in CMP. Example 7 has
been improved.
Generalized higher gauge theory
We study a generalization of higher gauge theory which makes use of
generalized geometry and seems to be closely related to double field theory.
The local kinematical data of this theory is captured by morphisms of graded
manifolds between the canonical exact Courant Lie 2-algebroid
over some manifold and a semistrict gauge Lie 2-algebra. We discuss
generalized curvatures and their infinitesimal gauge transformations. Finite
gauge transformation as well as global kinematical data are then obtained from
principal 2-bundles over 2-spaces. As dynamical principle, we consider first
the canonical Chern-Simons action for such a gauge theory. We then show that a
previously proposed 3-Lie algebra model for the six-dimensional (2,0) theory is
very naturally interpreted as a generalized higher gauge theory.Comment: 24 pages, minor corrections, typos fixed, published versio
Enhancing Teacher Credibility: What We Can Learn From the Justice and Leadership Literature
Enhanced perceptions of instructor credibility are related to positive outcomes in the classroom, including participation and learning (Chory, 2007; Frymier & Thompson, 1992; McCroskey & Teven, 1999; Myers, 2004; Teven & McCroskey, 1997). We contend that student perceptions of instructor credibility can be directly impacted by applying management research to classroom practices. In other words, actionable management research is useful in the classroom not just to share with students because it may make them better managers, but also to improve teaching practices and related outcomes. The present article explores this tenet, first discussing why we believe applied research findings can and should be transferred to the classroom and then using Implicit Leadership Theory (ILT) and organizational justice literature to demonstrate how these concepts can be generalized to the classroom environment to ultimately enhance instructor credibility
Threelogy in two parts 3-algebras in BLG models and a study of TMG solutions
This thesis is a review of research done over the course of the past 4 years, divided
into two unrelated parts.
The rst is set in the context of Bagger-Lambert-Gustavsson models, based
on 3-Lie algebras. In particular I will describe theories with metric 3-algebras
of inde nite signature: these present elds with negative kinetic terms. The
problem can be solved by gaugeing away the non-physical degrees of freedom,
to obtain other well understood theories. I will show how this procedure can be
easily applied for 3-algebra metrics of any inde nite signature.
Part II of this thesis focuses on solutions of topologically massive gravity
(TMG): particular attention is devoted to warped AdS3 black holes, which are
discussed in great detail. I will present a novel analysis of the near horizon
geometries of these solutions. I further propose an approach for searching for new
solutions to 3-dimensional gravity based on conformal symmetry. This approach
is able to yield most of the known axisymmetric stationary TMG backgrounds
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