417 research outputs found
Poisson-Lie T-duality and N=2 superconformal WZNW models on compact groups
The supersymmetric generalization of Pisson-Lie T-duality in N=2
superconformal WZNW models on the compact groups is considered. It is shown
that the role of Drinfeld's doubles play the complexifications of the
corresponding compact groups. These complex doubles are used to define the
natural actions of the isotropic subgroups forming the doubles on the group
manifolds of the N=2 superconformal WZNW models. The Poisson- Lie T-duality in
N=2 superconformal U(2)-WZNW model considered in details. It is shown that this
model admits Poisson-Lie symmetries with respect to the isotropic subgroups
forming Drinfeld's double Gl(2,C). Poisson-Lie T-duality transformation maps
this model into itself but acts nontrivialy on the space of classical
solutions. Supersymmetric generalization of Poisson-Lie T-duality in N=2
superconformal WZNW models on the compact groups of higher dimensions is
proposed.Comment: 12 pages, latex, misprints correcte
Line bundle twisted chiral de Rham complex and bound states of D-branes on toric manifolds
In this note we calculate elliptic genus in various examples of twisted
chiral de Rham complex on two dimensional toric compact manifolds and
Calabi-Yau hypersurfaces in toric manifolds. At first the elliptic genus is
calculated for the line bundle twisted chiral de Rham complex on a compact
smooth toric manifold and K3 hypersurface in \mathbb{P}^{3} . Then we twist
chiral de Rham complex by sheaves localized on positive codimension
submanifolds in \mathbb{P}^{2} and calculate in each case the elliptic genus.
In the last example the elliptic genus of chiral de Rham complex on
\mathbb{P}^{2} twisted by SL(N) vector bundle with instanton number k is
calculated. In all cases considered we find the infinite tower of open string
oscillator contributions of the corresponding bound state of D-branes and
identify directly the open string boundary conditions and D-brane charges.Comment: 14 pages, LaTex, some comments and references adde
Free-field Representations and Geometry of some Gepner models
The geometry of Gepner model, where is investigated by
free-field representation known as "bc\bet\gm"-system. Using this
representation it is shown directly that internal sector of the model is given
by Landau-Ginzburg -orbifold. Then we consider
the deformation of the orbifold by marginal anti-chiral-chiral operator.
Analyzing the holomorphic sector of the deformed space of states we show that
it has chiral de Rham complex structure of some toric manifold, where toric
dates are given by certain fermionic screening currents. It allows to relate
the Gepner model deformed by the marginal operator to the -model on CY
manifold realized as double cover of with ramification along
certain submanifold.Comment: LaTex, 14 pages, some acknowledgments adde
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