255 research outputs found
Solitons and Quasielectrons in the Quantum Hall Matrix Model
We show how to incorporate fractionally charged quasielectrons in the finite
quantum Hall matrix model.The quasielectrons emerge as combinations of BPS
solitons and quasiholes in a finite matrix version of the noncommutative
theory coupled to a noncommutative Chern-Simons gauge field. We also
discuss how to properly define the charge density in the classical matrix
model, and calculate density profiles for droplets, quasiholes and
quasielectrons.Comment: 15 pages, 9 figure
Ricci-flat supertwistor spaces
We show that supertwistor spaces constructed as a Kahler quotient of a
hyperkahler cone (HKC) with equal numbers of bosonic and fermionic coordinates
are Ricci-flat, and hence, Calabi-Yau. We study deformations of the
supertwistor space induced from deformations of the HKC. We also discuss
general infinitesimal deformations that preserve Ricci-flatness.Comment: 13 pages, references and comments adde
Generalized Kahler geometry and gerbes
We introduce and study the notion of a biholomorphic gerbe with connection.
The biholomorphic gerbe provides a natural geometrical framework for
generalized Kahler geometry in a manner analogous to the way a holomorphic line
bundle is related to Kahler geometry. The relation between the gerbe and the
generalized Kahler potential is discussed.Comment: 28 page
Generalized Kahler manifolds and off-shell supersymmetry
We solve the long standing problem of finding an off-shell supersymmetric
formulation for a general N = (2, 2) nonlinear two dimensional sigma model.
Geometrically the problem is equivalent to proving the existence of special
coordinates; these correspond to particular superfields that allow for a
superspace description. We construct and explain the geometric significance of
the generalized Kahler potential for any generalized Kahler manifold; this
potential is the superspace Lagrangian.Comment: 21 pages; references clarified and added; theorem generalized; typos
correcte
Topological twisted sigma model with H-flux revisited
In this paper we revisit the topological twisted sigma model with H-flux. We
explicitly expand and then twist the worldsheet Lagrangian for bi-Hermitian
geometry. we show that the resulting action consists of a BRST exact term and
pullback terms, which only depend on one of the two generalized complex
structures and the B-field. We then discuss the topological feature of the
model.Comment: 16 pages. Appendix adde
Brane Boxes: Bending and Beta Functions
We study the type IIB brane box configurations recently introduced by Hanany
and Zaffaroni. We show that even at finite string coupling, one can construct
smooth configurations of branes with fairly arbitrary gauge and flavor
structure. Limiting our attention to the better understood case where NS-branes
do not intersect over a four dimensional surface gives some restrictions on the
theories, but still permits many examples, both anomalous and non-anomalous. We
give several explicit examples of such configurations and discuss what
constraints can be imposed on brane-box theories from bending considerations.
We also discuss the relation between brane bending and beta-functions for
brane-box configurations.Comment: latex, 18 pages, 8 figure
Classification of real three-dimensional Lie bialgebras and their Poisson-Lie groups
Classical r-matrices of the three-dimensional real Lie bialgebras are
obtained. In this way all three-dimensional real coboundary Lie bialgebras and
their types (triangular, quasitriangular or factorizable) are classified. Then,
by using the Sklyanin bracket, the Poisson structures on the related
Poisson-Lie groups are obtained.Comment: 17 page
Orientifolding the conifold
In this paper we study the N=1 supersymmetric field theories realized on the
world-volume of type IIB D3-branes sitting at orientifolds of non-orbifold
singularities (conifold and generalizations). Several chiral models belong to
this family of theories. These field theories have a T-dual realization in
terms of type IIA configurations of relatively rotated NS fivebranes, D4-branes
and orientifold six-planes, with a compact direction, along which the
D4-branes have finite extent. We compute the spectrum on the D3-branes directly
in the type IIB picture and match the resulting field theories with those
obtained in the type IIA setup, thus providing a non-trivial check of this
T-duality. Since the usual techniques to compute the spectrum of the model and
check the cancellation of tadpoles, cannot be applied to the case orientifolds
of non-orbifold singularities, we use a different approach, and construct the
models by partially blowing-up orientifolds of C^3/(Z_2 x Z_2) and C^3/(Z_2 x
Z_3) orbifolds.Comment: 52 pages, Latex 7 eps figure
New extended superconformal sigma models and Quaternion Kahler manifolds
Quaternion Kahler manifolds are known to be the target spaces for matter
hypermultiplets coupled to N=2 supergravity. It is also known that there is a
one-to-one correspondence between 4n-dimensional quaternion Kahler manifolds
and those 4(n+1)-dimensional hyperkahler spaces which are the target spaces for
rigid superconformal hypermultiplets (such spaces are called hyperkahler
cones). In this paper we present a projective-superspace construction to
generate a hyperkahler cone M^{4(n+1)}_H of dimension 4(n+1) from a
2n-dimensional real analytic Kahler-Hodge manifold M^{2n}_K. The latter emerges
as a maximal Kahler submanifold of the 4n-dimensional quaternion Kahler space
M^{4n}_Q such that its Swann bundle coincides with M^{4(n+1)}_H. Our approach
should be useful for the explicit construction of new quaternion Kahler
metrics. The results obtained are also of interest, e.g., in the context of
supergravity reduction N=2 --> N=1, or alternatively from the point of view of
embedding N=1 matter-coupled supergravity into an N=2 theory.Comment: 30 page
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