542 research outputs found
Group Manifold Reduction of Dual N=1 d=10 Supergravity
We perform a group manifold reduction of the dual version of N=1 d=10
supergravity to four dimensions. The effects of the 3- and 4-form gauge fields
in the resulting gauged N=4 d=4 supergravity are studied in particular. The
example of the group manifold SU(2)xSU(2) is worked out in detail, and we
compare for this case the four-dimensional scalar potential with gauged N=4
supergravity.Comment: 22 pages, revised section 3, typos corrected. Published versio
`Stringy' Newton-Cartan Gravity
We construct a "stringy" version of Newton-Cartan gravity in which the
concept of a Galilean observer plays a central role. We present both the
geodesic equations of motion for a fundamental string and the bulk equations of
motion in terms of a gravitational potential which is a symmetric tensor with
respect to the longitudinal directions of the string. The extension to include
a non-zero cosmological constant is given. We stress the symmetries and
(partial) gaugings underlying our construction. Our results provide a
convenient starting point to investigate applications of the AdS/CFT
correspondence based on the non-relativistic "stringy" Galilei algebra.Comment: 44 page
Newtonian Gravity and the Bargmann Algebra
We show how the Newton-Cartan formulation of Newtonian gravity can be
obtained from gauging the Bargmann algebra, i.e., the centrally extended
Galilean algebra. In this gauging procedure several curvature constraints are
imposed. These convert the spatial (time) translational symmetries of the
algebra into spatial (time) general coordinate transformations, and make the
spin connection gauge fields dependent. In addition we require two independent
Vielbein postulates for the temporal and spatial directions. In the final step
we impose an additional curvature constraint to establish the connection with
(on-shell) Newton-Cartan theory. We discuss a few extensions of our work that
are relevant in the context of the AdS-CFT correspondence.Comment: Latex, 20 pages, typos corrected, published versio
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