DOI: 10.1140/epjc/s2002-01044-y
Non-commutative superstring worldsheet
D. KamaniInstitute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5531, Tehran, Iran
(Received: 19 April 2002 / Published online: 18 October 2002 )
Abstract
In this paper we consider the worldsheet of the superstring as
a
non-commutative
space. Some additional terms can be added to the superstring
action, such
that for an ordinary worldsheet they are zero. The expansion
of this
extended action
up to the first order of the non-commutativity parameter leads
to the new
supersymmetric action for the string.
For the closed superstring, we obtain the boundary state that
describes a
brane. From the open string point of view, the new boundary conditions
on
the worldsheet bosons generalize the non-commutativity of spacetime.
Finally, we suggest some definitions for the
non-commutativity parameter of the superstring worldsheet.
© Società Italiana di Fisica, Springer-Verlag 2002
