489 research outputs found
Topological strings on noncommutative manifolds
We identify a deformation of the N=2 supersymmetric sigma model on a
Calabi-Yau manifold X which has the same effect on B-branes as a noncommutative
deformation of X. We show that for hyperkahler X such deformations allow one to
interpolate continuously between the A-model and the B-model. For generic
values of the noncommutativity and the B-field, properties of the topologically
twisted sigma-models can be described in terms of generalized complex
structures introduced by N. Hitchin. For example, we show that the path
integral for the deformed sigma-model is localized on generalized holomorphic
maps, whereas for the A-model and the B-model it is localized on holomorphic
and constant maps, respectively. The geometry of topological D-branes is also
best described using generalized complex structures. We also derive a
constraint on the Chern character of topological D-branes, which includes
A-branes and B-branes as special cases.Comment: 36 pages, AMS latex. v2: a reference to a related work has been
added. v3: An error in the discussion of the Fourier-Mukai transform for
twisted coherent sheaves has been fixed, resulting in several changes in
Section 2. The rest of the paper is unaffected. v4: an incorrect statement
concerning Lie algebroid cohomology has been fixe
A note on the dyonic D6-brane
We study the dyon electric charge of D6-branes as eleven dimensional
KK-monopoles. We observe that the dyon charge is intimately related with the
existence of gauge connections and antisymmetric fields on the brane world
volume.Comment: 8 pages, Contribution to the 6th International Workshop on Conformal
Field Theory and Integrable Models, Landau Institute, Sept. 2002, to honour
A. Belavin on the occasion of his 60th birthda
On the Topology and Flux of T-Dual Manifolds
We present a general formula for the topology and H-flux of the T-dual of a
type two compactification. Our results apply to T-dualities with respect to any
free circle action. In particular we find that the manifolds on each side of
the duality are circle bundles whose curvatures are given by the integral of
the dual H-flux over the dual circle. As a corollary we conjecture an
obstruction to multiple T-dualities, generalizing an obstruction known to exist
on the twisted torus. Examples include SU(2) WZW models, Lens spaces and the
supersymmetric string theory on the non-spin AdS^5xCP^2xS^1 compactification.Comment: 4 Pages, No Figure
A Torsion Correction to the RR 4-Form Fieldstrength
The shifted quantization condition of the M-theory 4-form G_4 is well-known.
The most naive generalization to type IIA string theory fails, an orientifold
counterexample was found by Hori in hep-th/9805141. In this note we use
D2-brane anomaly cancellation to find the corresponding shifted quantization
condition in IIA. Our analysis is consistent with the known O4-plane tensions
if we include a torsion correction to the usual construction of G_4 from C_3, B
and G_2. The resulting Bianchi identities enforce that RR fluxes lift to
K-theory classes.Comment: 10 Pages, 1 eps figur
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
The Self-Dual String and Anomalies in the M5-brane
We study the anomalies of a charge self-dual string solution in the
Coulomb branch of M5-branes. Cancellation of these anomalies allows us to
determine the anomaly of the zero-modes on the self-dual string and their
scaling with and . The dimensional reduction of the five-brane
anomalous couplings then lead to certain anomalous couplings for D-branes.Comment: 13 pages, Harvmac, refs adde
M-theory and Characteristic Classes
In this note we show that the Chern-Simons and the one-loop terms in the
M-theory action can be written in terms of new characters involving the
M-theory four-form and the string classes. This sheds a new light on the
topological structure behind M-theory and suggests the construction of a theory
of `higher' characteristic classes.Comment: 8 pages. Error in gravitational term fixed; minor corrections;
reference and acknowledgement adde
Geometric Aspects of D-branes and T-duality
We explore the differential geometry of T-duality and D-branes. Because
D-branes and RR-fields are properly described via K-theory, we discuss the
(differential) K-theoretic generalization of T-duality and its application to
the coupling of D-branes to RR-fields. This leads to a puzzle involving the
transformation of the A-roof genera in the coupling.Comment: 26 pages, JHEP format, uses dcpic.sty; v2: references added, v3:
minor change
K-Theory and S-Duality: Starting Over from Square 3
Recently Maldacena, Moore, and Seiberg (MMS) have proposed a physical
interpretation of the Atiyah-Hirzebruch spectral sequence, which roughly
computes the K-homology groups that classify D-branes. We note that in IIB
string theory, this approach can be generalized to include NS charged objects
and conjecture an S-duality covariant, nonlinear extension of the spectral
sequence. We then compute the contribution of the MMS double-instanton
configuration to the derivation d_5. We conclude with an M-theoretic
generalization reminiscent of 11-dimensional E_8 gauge theory.Comment: 27 pages, 3 figure
String loop corrections to the universal hypermultiplet
We study loop corrections to the universal dilaton supermultiplet for type
IIA strings compactified on Calabi-Yau threefolds. We show that the
corresponding quaternionic kinetic terms receive non-trivial one-loop
contributions proportional to the Euler number of the Calabi-Yau manifold,
while the higher-loop corrections can be absorbed by field redefinitions. The
corrected metric is no longer Kahler. Our analysis implies in particular that
the Calabi-Yau volume is renormalized by loop effects which are present even in
higher orders, while there are also one-loop corrections to the Bianchi
identities for the NS and RR field strengths.Comment: 30 pages, harvmac, 1 figure. v2: minor typos corrected. Version to
appear in Classical and Quantum Gravit
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