136 research outputs found
Covariant Quantization of The Super-D-string
We present the covariant BRST quantization of the super-D-string. The
non-vanishing supersymmetric U(1) field strength is essential for
the covariant quantization of the super-D-string as well as for its static
picture. A SO(2) parameter parametrizes a family of local supersymmetric (kappa
symmetric) systems including the super-D-string with and the
Green-Schwarz superstring with . We suggest that (canonical
conjugate of U(1) gauge field) plays a role of the order parameter in the
Green-Schwarz formalism: the super-D-string exists for while the
fundamental Green-Schwarz superstring exists only for .Comment: 19 pages, Latex; a paragraph added in section 5, to appear in
Nucl.Phys.B, email [email protected], [email protected]
Type II chiral affine Lie algebras and string actions in doubled space
We present affine Lie algebras generated by the supercovariant derivatives
and the supersymmetry generators for the left and right moving modes in the
doubled space. Chirality is manifest in our doubled space as well as the
T-duality symmetry. We present gauge invariant bosonic and superstring actions
preserving the two-dimensional diffeomorphism invariance and the kappa-symmetry
where doubled spacetime coordinates are chiral fields. The doubled space
becomes the usual space by dimensional reduction constraints.Comment: 32 pages. References adde
Mtric from Non-Metric Action of Gravity
The action of general relativity proposed by Capovilla, Jacobson and Dell is
written in terms of gauge fields and gives Ashtekar's constraints for
Einstein gravity. However, it does not depend on the space-time metric nor its
signature explicitly. We discuss how the space-time metric is introduced from
algebraic relations of the constraints and the Hamiltonian by focusing our
attention on the signature factor. The system describes both Euclidian and
Lorentzian metrics depending on reality assignments of the gauge connections.
That is, Euclidian metrics arise from the real gauge fields. On the other hand,
self-duality of the gauge fields, which is well known in the Ashtekar's
formalism, is also derived in this theory from consistency condition of
Lorentzian metric. We also show that the metric so determined is equivalent to
that given by Urbantke, which is usually accepted as a definition of the metric
for this system.Comment: 9
Ramond-Ramond gauge fields in superspace with manifest T-duality
A superspace with manifest T-duality including Ramond-Ramond gauge fields is
presented. The superspace is defined by the double nondegenerate super-Poincare
algebras where Ramond-Ramond charges are introduced by central extension. This
formalism allows a simple treatment that all the supergravity multiplets are in
a vielbein superfield and all torsions with dimension 1 and less are trivial. A
Green-Schwarz superstring action is also presented where the Wess-Zumino term
is given in a bilinear form of local currents. Equations of motion are
separated into left and right modes in a suitable gauge.Comment: 27 pages, to appear in JHEP. A procedure of the dimensional reduction
is explaine
Superspace with manifest T-duality from type II superstring
A superspace formulation of type II superstring background with manifest
T-duality symmetry is presented. This manifestly T-dual formulation is
constructed in a space spanned by two sets of nondegenerate super-Poincare
algebra. Supertorsion constraints are obtained from consistency of the
kappa-symmetric Virasoro constraints. All superconnections and vielbein fields
are solved in terms of a prepotential which is one of the vielbein components.
AdS5xS5 background is explained in this formulation.Comment: 23 pages; v2: minor modifications, references updated, version
published in JHE
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