14,722 research outputs found
2D supergravity in p+1 dimensions
We describe new -extended 2D supergravities on a -dimensional
(bosonic) space. The fundamental objects are moving frame densities that equip
each -dimensional point with a 2D ``tangent space''. The theory is
presented in a superspace. For the special case of we recover
the 2D supergravities in an unusual form. The formalism has been developed with
applications to the string-parton picture of -branes at strong coupling in
mind.Comment: 16 pages, Late
A Picture of D-branes at Strong Coupling II. Spinning Partons
We study the Born-Infeld D-brane action in the limit when the string coupling
goes to infinity. The resulting actions is presented in an arbitrary background
and shown to describe a foliation of the world-volume by strings. Using a
recently developed ``degenerate'' supergravity the parton picture is shown to
be applicable also to supersymmetric D-branes.Comment: 14 pages, Late
N = 2 world-sheet approach to D-branes on generalized Kaehler geometries: I. General formalism
We present an N = 2 world-sheet superspace description of D-branes on
bihermitian or generalized Kaehler manifolds. To accomplish this, D-branes are
considered as boundary conditions for a nonlinear sigma-model in what we call N
= 2 boundary superspace. In this note the general formalism for such an
approach is presented and the resulting classification sketched. This includes
some remarks regarding target spaces whose parameterization includes
semi-chiral superfields which have not appeared in the literature yet. In an
accompanying note we turn to some examples and applications of the general
setup presented here.Comment: 7 pages, contribution to the proceedings of the Fourth Workshop of
the RTN project 'Constituents, Fundamental Forces and Symmetries of the
Universe', Varna, September 11 - 17, 200
Supersymmetry, a Biased Review
This set of lectures contain a brief review of some basic supersymmetry and
its representations, with emphasis on superspace and superfields. Starting from
the Poincar\'e group, the supersymmetric extensions allowed by the
Coleman-Mandula theorem and its generalisation to superalgebras, the Haag,
Lopuszanski and Sohnius theorem, are discussed. Minkowski space is introduced
as a quotient space and Superspace is presented as a direct generalization of
this. The focus is then shifted from a general presentation to the relation
between supersymmetry and complex geometry as manifested in the possible target
space geometries for N=1 and N=2 supersymmetric nonlinear sigma models in four
dimensions. Gauging of isometries in nonlinear sigma models is discussed for
these cases, and the quotient construction is described.Comment: Latex, 28 pages, Invited Lectures at ``The 22nd Winter School
Geometry and Physics, Srni, Czech Republic, January 12-19, 2002. V2:
Misprints correcte
A Picture of D-branes at Strong Coupling
We use a phase space description to (re)derive a first order form of the
Born-Infeld action for D-branes. This derivation also makes it possible to
consider the limit where the tension of the D-brane goes to zero. We find that
in this limit, which can be considered to be the strong coupling limit of the
fundamental string theory, the world-volume of the D-brane generically splits
into a collection of tensile strings.Comment: 14 pages, LaTe
A brief review of supersymmetric non-linear sigma models and generalized complex geometry
This is a review of the relation between supersymmetric non-linear sigma
models and target space geometry. In particular, we report on the derivation of
generalized K\"ahler geometry from sigma models with additional spinorial
superfields. Some of the results reviewed are: Generalized complex geometry
from sigma models in the Lagrangian formulation; Coordinatization of
generalized K\"ahler geometry in terms of chiral, twisted chiral and
semi-chiral superfields; Generalized K\"ahler geometry from sigma models in the
Hamiltonian formulation.Comment: 16 pages, Latex. Contribution to The 26th Winter School GEOMETRY AND
PHYSICS, Czech Republic, Srni, January 14 - 21, 200
Paradoxes of Demonstrability
In this paper I consider two paradoxes that arise in connection with the concept of demonstrability, or absolute provability. I assume—for the sake of the argument—that there is an intuitive notion of demonstrability, which should not be conflated with the concept of formal deducibility in a (formal) system or the relativized concept of provability from certain axioms. Demonstrability is an epistemic concept: the rough idea is that a sentence is demonstrable if it is provable from knowable basic (“self-evident”) premises by means of simple logical steps. A statement that is demonstrable is also knowable and a statement that is actually demonstrated is known to be true. By casting doubt upon apparently central principles governing the concept of demonstrability, the paradoxes of demonstrability presented here tend to undermine the concept itself—or at least our understanding of it. As long as we cannot find a diagnosis and a cure for the paradoxes, it seems that the coherence of the concepts of demonstrability and demonstrable knowledge are put in question. There are of course ways of putting the paradoxes in quarantine, for example by imposing a hierarchy of languages a` la Tarski, or a ramified hierarchy of propositions and propositional functions a` la Russell. These measures, however, helpful as they may be in avoiding contradictions, do not seem to solve the underlying conceptual problems. Although structurally similar to the semantic paradoxes, the paradoxes discussed in this paper involve epistemic notions: “demonstrability”, “knowability”, “knowledge”... These notions are “factive” (e.g., if A is demonstrable, then A is true), but similar paradoxes arise in connection with “nonfactive” notions like “believes”, “says”, “asserts”.3 There is no consensus in the literature concerning the analysis of the notions involved—often referred to as “propositional attitudes”—or concerning the treatment of the paradoxes they give rise to
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