719 research outputs found
Freed-Witten anomaly in general flux compactification
Turning on a NS-NS three-form flux in a compact space drives some D-branes to
be either Freed-Witten anomalous or unstable to decay into fluxes by the
appearance of instantonic branes. By applying T-duality on a toroidal
compactification, the NS-flux is transformed into metric fluxes. We propose a
T-dual version of the Atiyah-Hirzebruch Spectral Sequence upon which we
describe the Freed-Witten anomaly and the brane-flux transition driven by NS
and metric fluxes in a twisted torus. The required conditions to cancel the
anomaly and the appearance of new instantonic branes are also described. In
addition, we give an example in which all D6-branes wrapping Freed-Witten
anomaly-free three-cycles in the twisted torus T^6/Z(2)XZ(2) are nevertheless
unstable to be transformed into fluxes. Evenmore we find a topological
transformation between RR, NS-NS and metric fluxes driven by a chain of
instantonic branes.Comment: v3: Shortened version. Examples added. Main results unchange
D-Branes on K3-Fibrations
B-type D-branes are constructed on two different K3-fibrations over IP_1
using boundary conformal field theory at the rational Gepner points of these
models. The microscopic CFT charges are compared with the Ramond charges of
D-branes wrapped on holomorphic cycles of the corresponding Calabi-Yau
manifold. We study in particular D4-branes and bundles localized on the K3
fibers, and find from CFT that each irreducible component of a bundle on K3
gains one modulus upon fibration over IP_1. This is in agreement with
expectations and so provides a further test of the boundary CFT.Comment: 16p, harvmac, tables.tex; typos corrected, refs added, discussion
about moduli spaces improve
Duality symmetry and the form fields of M-theory
In previous work we derived the topological terms in the M-theory action in
terms of certain characters that we defined. In this paper, we propose the
extention of these characters to include the dual fields. The unified treatment
of the M-theory four-form field strength and its dual leads to several
observations. In particular we elaborate on the possibility of a twisted
cohomology theory with a twist given by degrees greater than three.Comment: 12 pages, modified material on the differentia
Quantization of the Chern-Simons Coupling Constant
We investigate the quantum consistency of p-form Maxwell-Chern-Simons
electrodynamics in 3p+2 spacetime dimensions (for p odd). These are the
dimensions where the Chern--Simons term is cubic, i.e., of the form FFA. For
the theory to be consistent at the quantum level in the presence of magnetic
and electric sources, we find that the Chern--Simons coupling constant must be
quantized. We compare our results with the bosonic sector of eleven dimensional
supergravity and find that the Chern--Simons coupling constant in that case
takes its corresponding minimal allowed value.Comment: 15 pages, 1 figure, JHEP3.cls. Equation (8.6) corrected and perfect
agreement with previous results is obtaine
The Elliptic curves in gauge theory, string theory, and cohomology
Elliptic curves play a natural and important role in elliptic cohomology. In
earlier work with I. Kriz, thes elliptic curves were interpreted physically in
two ways: as corresponding to the intersection of M2 and M5 in the context of
(the reduction of M-theory to) type IIA and as the elliptic fiber leading to
F-theory for type IIB. In this paper we elaborate on the physical setting for
various generalized cohomology theories, including elliptic cohomology, and we
note that the above two seemingly unrelated descriptions can be unified using
Sen's picture of the orientifold limit of F-theory compactification on K3,
which unifies the Seiberg-Witten curve with the F-theory curve, and through
which we naturally explain the constancy of the modulus that emerges from
elliptic cohomology. This also clarifies the orbifolding performed in the
previous work and justifies the appearance of the w_4 condition in the elliptic
refinement of the mod 2 part of the partition function. We comment on the
cohomology theory needed for the case when the modular parameter varies in the
base of the elliptic fibration.Comment: 23 pages, typos corrected, minor clarification
The Ruled Vertex and Nontoric del Pezzo Surfaces
We construct the topological partition function of local nontoric del Pezzo
surfaces using the ruled vertex formalism.Comment: 16 pages, 4 figure
Hybridization of institutions
Extended version including all proofsModal logics are successfully used as specification logics for reactive systems. However, they are not expressive enough to refer to individual states and reason about the local behaviour of such systems. This limitation is overcome in hybrid logics which introduce special symbols for naming states in models. Actually, hybrid logics have recently regained interest, resulting in a number of new results and techniques as well as applications to software specification.
In this context, the first contribution of this paper is an attempt to ‘universalize’ the hybridization idea. Following the lines of [DS07], where a method to modalize arbitrary institutions is presented, the paper introduces a method to hybridize logics at the same institution-independent level. The method extends arbitrary institutions with Kripke semantics (for multi-modalities with arbitrary arities) and hybrid features. This paves the ground for a general result: any encoding (expressed as comorphism) from an arbitrary institution to first order logic (FOL) deter- mines a comorphism from its hybridization to FOL. This second contribution opens the possibility of effective tool support to specification languages based upon logics with hybrid features.Fundação para a Ciência e a Tecnologia (FCT
From E_8 to F via T
We argue that T-duality and F-theory appear automatically in the E_8 gauge
bundle perspective of M-theory. The 11-dimensional supergravity four-form
determines an E_8 bundle. If we compactify on a two-torus, this data specifies
an LLE_8 bundle where LG is a centrally-extended loopgroup of G. If one of the
circles of the torus is smaller than sqrt(alpha') then it is also smaller than
a nontrivial circle S in the LLE_8 fiber and so a dimensional reduction on the
total space of the bundle is not valid. We conjecture that S is the circle on
which the T-dual type IIB theory is compactified, with the aforementioned torus
playing the role of the F-theory torus. As tests we reproduce the T-dualities
between NS5-branes and KK-monopoles, as well as D6 and D7-branes where we find
the desired F-theory monodromy. Using Hull's proposal for massive IIA, this
realization of T-duality allows us to confirm that the Romans mass is the
central extension of our LE_8. In addition this construction immediately
reproduces the conjectured formula for global topology change from T-duality
with H-flux.Comment: 25 pages, 4 eps figure
Completeness and decidability results for hybrid(ised) logics
Adding to the modal description of transition structures the ability to refer to specific states, hybrid(ised) logics provide an interesting framework for the specification of reconfigurable systems. The qualifier ‘hybrid(ised)’ refers to a generic method of developing, on top of whatever specification logic is used to model software configurations, the elements of an hybrid language, including nominals and modalities. In such a context, this paper shows how a calculus for a hybrid(ised) logic can be generated from a calculus of the base logic and that, moreover, it preserves soundness and completeness. A second contribution establishes that hybridising a decidable logic also gives rise to a decidable hybrid(ised) one. These results pave the way to the development of dedicated proof tools for such logics used in the design of reconfigurable systems
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