5 research outputs found
Defects, Super-Poincar\'{e} line bundle and Fermionic T-duality
Topological defects are interfaces joining two conformal field theories, for
which the energy momentum tensor is continuous across the interface. A class of
the topological defects is provided by the interfaces separating two bulk
systems each described by its own Lagrangian, where the two descriptions are
related by a discrete symmetry.
In this paper we elaborate on the cases in which the discrete symmetry is a
bosonic or a fermionic T- duality. We review how the equations of motion
imposed by the defect encode the general bosonic T- duality transformations for
toroidal compactifications. We generalize this analysis in some detail to the
case of topological defects allowed in coset CFTs, in particular to those
cosets where the gauged group is either an axial or vector U(1). This is
discussed in both the operator and Lagrangian approaches. We proceed to
construct a defect encoding a fermionic T-duality. We show that the fermionic
T-duality is implemented by the Super-Poincar\'{e} line bundle. The observation
that the exponent of the gauge invariant flux on a defect is a kernel of the
Fourier-Mukai transform of the Ramond-Ramond fields, is generalized to a
fermionic T-duality. This is done via a fiberwise integration on
supermanifolds.Comment: 41 page
A comment on BCC crystalization in higher dimensions
The result that near the melting point three-dimensional crystals have an
octahedronic structure is generalized to higher flat non compact dimensions