405 research outputs found
General matter coupled N=2, D=5 gauged supergravity
We give the full lagrangean and supersymmetry transformation rules for D=5,
N=2 supergravity interacting with an arbitrary number of vector, tensor and
hyper-multiplets, with gauging of the R-symmetry group SU(2)_R as well as a
subgroup K of the isometries of the scalar manifold. Among the many possible
applications, this theory provides the setting where a supersymmetric
brane-world scenario could occur. We comment on the presence of AdS vacua and
BPS solutions that would be relevant towards a supersymmetric smooth
realization of the Randall-Sundrum "alternative to compactification". We also
add some remarks on the connection between this most general 5D fully coupled
supergravity model and type IIB theory on the T^{11} manifold.Comment: 29+1 pages, LaTeX. References added, minor corrections, final version
for Nucl. Phys.
4d/5d Correspondence for the Black Hole Potential and its Critical Points
We express the d=4, N=2 black hole effective potential for cubic holomorphic
F functions and generic dyonic charges in terms of d=5 real special geometry
data. The 4d critical points are computed from the 5d ones, and their relation
is elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of
attractors and the respective entropies. These are related by simple formulae,
interpolating between four and five dimensions, depending on the volume modulus
and on the 4d magnetic (or electric) charges, and holding true also for generic
field configurations and for non-symmetric cubic geometries.Comment: 1+24 pages; v2: references added, minor improvements; v3: further
minor improvements and clarification
Supergravity Predictions on Conformal Field Theories
We give an update on recent results about the matching between CFT operators
and KK states in the AdS/CFT correspondence, and add some new comments on the
realization of the baryonic symmetries from the supergravity point of view.Comment: 8 pages, uses JHEP.cls, Contribution to the proceedings of the TMR
Conference on Quantum Aspects of Gauge Theories, Supersymmetry and
Unification, Paris, 1-7 September 199
11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds
We consider generic features of eleven dimensional supergravity compactified
down to five dimensions on an arbitrary Calabi-Yau threefold.Comment: TeX, harvmac, 8 pg
M Theory on the Stiefel manifold and 3d Conformal Field Theories
We compute the mass and multiplet spectrum of M theory compactified on the
product of AdS(4) spacetime by the Stiefel manifold V(5,2)=SO(5)/SO(3), and we
use this information to deduce via the AdS/CFT map the primary operator content
of the boundary N=2 conformal field theory. We make an attempt for a candidate
supersymmetric gauge theory that, at strong coupling, should be related to
parallel M2-branes on the singular point of the non-compact Calabi-Yau
four-fold , describing the cone on V(5,2).Comment: Latex, 28 page
General Matter Coupled N=2 Supergravity
The general form of N=2 supergravity coupled to an arbitrary number of vector
multiplets and hypermultiplets, with a generic gauging of the scalar manifold
isometries is given. This extends the results already available in the
literature in that we use a coordinate independent and manifestly symplectic
covariant formalism which allows to cover theories difficult to formulate
within superspace or tensor calculus approach. We provide the complete
lagrangian and supersymmetry variations with all fermionic terms, and the form
of the scalar potential for arbitrary quaternionic manifolds and special
geometry, not necessarily in special coordinates. Our results can be used to
explore properties of theories admitting supergravity as low energy
limit.Comment: LaTex, 20 pg
Picard-Fuchs Equations and Special Geometry
We investigate the system of holomorphic differential identities implied by
special K\"ahlerian geometry of four-dimensional N=2 supergravity. For
superstring compactifications on \cy threefolds these identities are equivalent
to the Picard-Fuchs equations of algebraic geometry that are obeyed by the
periods of the holomorphic three-form. For one variable they reduce to linear
fourth-order equations which are characterized by classical -generators; we
find that the instanton corrections to the Yukawa couplings are directly
related to the non-vanishing of . We also show that the symplectic
structure of special geometry can be related to the fact that the Yukawa
couplings can be written as triple derivatives of some holomorphic function
. Moreover, we give the precise relationship of the Yukawa couplings of
special geometry with three-point functions in topological field theory.Comment: 43 page
On the Geometry of Moduli Space of Vacua in N=2 Supersymmetric Yang-Mills Theory
We consider generic properties of the moduli space of vacua in
supersymmetric Yang--Mills theory recently studied by Seiberg and Witten. We
find, on general grounds, Picard--Fuchs type of differential equations
expressing the existence of a flat holomorphic connection, which for one
parameter (i.e. for gauge group ), are second order equations. In the
case of coupling to gravity (as in string theory), where also ``gravitational''
electric and magnetic monopoles are present, the electric--magnetic S duality,
due to quantum corrections, does not seem any longer to be related to
as for supersymmetric theory.Comment: 10 pgs (TeX with harvmac), POLFIS-TH.07/94, CERN-TH.7384/9
On Penrose Limits and Gauge Theories
We discuss various Penrose limits of conformal and nonconformal backgrounds.
In AdS_5 x T^{1,1}, for a particular choice of the angular coordinate in
T^{1,1} the resulting Penrose limit coincides with the similar limit for AdS_5
x S^5. In this case an identification of a subset of field theory operators
with the string zero modes creation operators is possible. For another limit we
obtain a light-cone string action that resembles a particle in a magnetic
field. We also consider three different types of backgrounds that are dual to
nonconformal field theories: The Schwarzschild black hole in AdS_5, D3-branes
on the small resolution of the conifold and the Klebanov-Tseytlin background.
We find that in all three cases the introduction of nonconformality renders a
theory that is no longer exactly solvable and that the form of the deformation
is universal. The corresponding world sheet theory in the light-cone gauge has
a \tau=x^+ dependent mass term.Comment: 17pp, late
N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
The general form of N=2 supergravity coupled to an arbitrary number of vector
multiplets and hypermultiplets, with a generic gauging of the scalar manifold
isometries is given. This extends the results already available in the
literature in that we use a coordinate independent and manifestly symplectic
covariant formalism which allows to cover theories difficult to formulate
within superspace or tensor calculus approach. We provide the complete
lagrangian and supersymmetry variations with all fermionic terms, and the form
of the scalar potential for arbitrary quaternionic manifolds and special
geometry, not necessarily in special coordinates. Lagrangians for rigid
theories are also written in this general setting and the connection with local
theories elucidated. The derivation of these results using geometrical
techniques is briefly summarized.Comment: LaTeX, 80 pages, extended version of hep-th/960300
- …