1202.0170 (B. Nikolic et al.)

Dirichlet boundary conditions in type IIB superstring theory and
fermionic T-duality    [PDF]

B. Nikolic, B. Sazdovic

In this article we investigate the relation between consequences of Dirichlet
boundary conditions (momenta noncommutativity and parameters of the effective
theory) and background fields of fermionic T-dual theory. We impose Dirichlet
boundary conditions on the endpoints of the open string propagating in
background of type IIB superstring theory. We showed that on the solution of
the boundary conditions the momenta become noncommutative, while the
coordinates commute. Fermionic T-duality is also introduced and its relation to
noncommutativity is considered. We use compact notation so that type IIB
superstring formally gets the form of the bosonic one with Grassman variables.
Then momenta noncommutativity parameters are fermionic T-dual fields. The
effective theory, the initial theory on the solution of boundary conditions, is
bilinear in the effective coordinates, odd under world-sheet parity
transformation. The effective metric is equal to the initial one and terms with
the effective Kalb-Ramond field vanish.

View original: http://arxiv.org/abs/1202.0170