17,522 research outputs found
Intersecting D-branes, Chern-kernels and the inflow mechanism
We analyse a system of arbitrarily intersecting D-branes in ten-dimensional
supergravity. Chiral anomalies are supported on the intersection branes, called
I-branes. For non-transversal intersections anomaly cancellation has been
realized until now only cohomologically but not locally, due to short-distance
singularities. In this paper we present a consistent local cancellation
mechanism, writing the delta-like brane currents as differentials of the
recently introduced Chern--kernels, J=dK. In particular, for the first time we
achieve anomaly cancellation for dual pairs of D-branes. The Chern-kernel
approach allows to construct an effective action for the RR-fields which is
free from singularities and cancels the quantum anomalies on all D-branes and
I-branes.Comment: 1+28 pages, no figures. References update
Quantum properties of the heterotic five-brane
We find that the conjectured heterotic SO(32) five-brane sigma model develops
necessarily k-anomalies, and we investigate their form. We show that these
anomalies can be absorbed by modifications of the superspace constraints, that
satisfy automatically the modified Bianchi-identity of N=1, D=10
supergravity. The k-anomalies induce in particular a quantum deformation of the
torsion constraint .Comment: 15 pages, no figure
Subsymmetric weak Schauder bases and factorization of the identity
Let denote a Banach space with a subsymmetric weak Schauder basis
satisfying condition~\eqref{eq:condition-c}. We show that for any operator , either or contains a subspace that is
isomorphic to and complemented in . Moreover, we prove that
, is primary.Comment: 16 pages, 1 figur
Intersecting M2- and M5-branes
If an M2-brane intersects an M5-brane the canonical Wess-Zumino action is
plagued by a Dirac-anomaly, i.e. a non-integer change of the action under a
change of Dirac-brane. We show that this anomaly can be eliminated at the
expense of a gravitational anomaly supported on the intersection manifold.
Eventually we check that the last one is cancelled by the anomaly produced by
the fermions present. This provides a quantum consistency check of these
intersecting configurations.Comment: 11 pages, references and discussions adde
Algebraic constructive quantum field theory: Integrable models and deformation techniques
Several related operator-algebraic constructions for quantum field theory
models on Minkowski spacetime are reviewed. The common theme of these
constructions is that of a Borchers triple, capturing the structure of
observables localized in a Rindler wedge. After reviewing the abstract setting,
we discuss in this framework i) the construction of free field theories from
standard pairs, ii) the inverse scattering construction of integrable QFT
models on two-dimensional Minkowski space, and iii) the warped convolution
deformation of QFT models in arbitrary dimension, inspired from non-commutative
Minkowski space.Comment: Review article, 57 pages, 3 figure
A Quantum field theory of dyons
We construct a classical field theory action which upon quantization via the
functional integral approach, gives rise to a consistent Dirac-string
independent quantum field theory. The approach entails a systematic derivation
of the correlators of all gauge invariant observables, and also of charged
dyonic fields. Manifest SO(2)-duality invariance and Lorentz invariance are
ensured by the PST-approach.Comment: 9 pages, LaTeX, talk given at the conference "Quantum aspects of
gauge theories, supersymmetry and unification", Paris, September 199
Deformations of quantum field theories and integrable models
Deformations of quantum field theories which preserve Poincar\'e covariance
and localization in wedges are a novel tool in the analysis and construction of
model theories. Here a general scenario for such deformations is discussed, and
an infinite class of explicit examples is constructed on the Borchers-Uhlmann
algebra underlying Wightman quantum field theory. These deformations exist
independently of the space-time dimension, and contain the recently studied
warped convolution deformation as a special case. In the special case of
two-dimensional Minkowski space, they can be used to deform free field theories
to integrable models with non-trivial S-matrix.Comment: 36 pages, no figures: Minor changes and corrections in Section 3.
Added new Section 5 on von Neumann algebraic formulation, and modular
structur
- …