3,532 research outputs found
Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds
We derive the Free Differential Algebra for type IIA supergravity in 10
dimensions in the string frame. We provide all fermionic terms for all
curvatures. We derive the Green-Schwarz sigma model for type IIA superstring
based on the FDA construction and we check its invariance under kappa-symmetry.
Finally, we derive the pure spinor sigma model and we check the BRST
invariance. The present derivation has the advantage that the resulting sigma
model is constructed in terms of the superfields appearing in the FDA and
therefore one can directly relate a supergravity background with the
corresponding sigma model. The complete explicit form of the BRST
transformations is given and some new pure spinor constraints are obtained.
Finally, the explicit form of the action is given.Comment: 31 pp. no figures, latex, some modifications at pag 21, a missing
term in 4.51 corrected. Discussion on BRST symmetry improve
De Sitter solutions in N=4 matter coupled supergravity
We investigate the scalar potential of gauged N=4 supergravity with matter.
The extremum in the SU(1,1)/U(1) scalars is obtained for an arbitrary number of
matter multiplets. The constraints on the matter scalars are solved in terms of
an explicit parametrisation of an
SO(6,6+n) element. For the case of six matter multiplets we discuss both
compact and noncompact gauge groups.
In an example involving noncompact groups and four scalars we find a
potential with an absolute minimum and a positive cosmological constant.Comment: 14 page
Twisted tori and fluxes: a no go theorem for Lie groups of weak G_2 holonomy
In this paper we prove the theorem that there exists no 7--dimensional Lie
group manifold G of weak G2 holonomy.
We actually prove a stronger statement, namely that there exists no
7--dimensional Lie group with negative definite Ricci tensor Ric_{IJ}.
This result rules out (supersymmetric and non--supersymmetric)
Freund--Rubin solutions of M--theory of the form AdS_4\times G and
compactifications with non--trivial 4--form fluxes of Englert type on an
internal group manifold G. A particular class of such backgrounds which, by our
arguments are excluded as bulk supergravity compactifications corresponds to
the so called compactifications on twisted--tori, for which G has structure
constants with vanishing trace . On the other
hand our result does not have bearing on warped compactifications of M--theory
to four dimensions and/or to compactifications in the presence of localized
sources (D--branes, orientifold planes and so forth). Henceforth our result
singles out the latter compactifications as the preferred hunting grounds that
need to be more systematically explored in relation with all compactification
features involving twisted tori.Comment: 38 pages, tar file containing LaTeX source and youngtab.st
Curvatures and potential of M-theory in D=4 with fluxes and twist
We give the curvatures of the free differential algebra (FDA) of M--theory
compactified to D=4 on a twisted seven--torus with the 4--form flux switched
on. Two formulations are given, depending on whether the 1--form field
strengths of the scalar fields (originating from the 3--form gauge field
) are included or not in the FDA. We also give the bosonic
equations of motion and discuss at length the scalar potential which emerges in
this type of compactifications. For flat groups we show the equivalence of this
potential with a dual formulation of the theory which has the full \rE_{7(7)}
symmetry.Comment: 14 pages, LaTeX source, typos correcte
R-Symmetry and the Topological Twist of N=2 Effective Supergravities of Heterotic Strings
We discuss R-symmetries in locally supersymmetric N=2 gauge theories coupled
to hypermultiplets which can be thought of as effective theories of heterotic
superstring models. In this type of supergravities a suitable R-symmetry exists
and can be used to topologically twist the theory: the vector multiplet
containing the dilaton-axion field has different R-charge assignments with
respect to the other vector multiplets. Correspondingly a system of coupled
instanton equations emerges, mixing gravitational and Yang--Mills instantons
with triholomorphic hyperinstantons and axion-instantons. For the tree-level
classical special manifolds R-symmetry with the specified properties is a continuous symmetry, but
for the quantum corrected manifolds a discrete R--group of
electric--magnetic duality rotations is sufficient and we argue that it exists.Comment: 40 pages, plain LaTeX. Final version to appear on IJMP
R--R Scalars, U--Duality and Solvable Lie Algebras
We consider the group theoretical properties of R--R scalars of string
theories in the low-energy supergravity limit and relate them to the solvable
Lie subalgebra \IG_s\subset U of the U--duality algebra that generates the
scalar manifold of the theory: \exp[\IG_s]= U/H. Peccei-Quinn symmetries are
naturally related with the maximal abelian ideal {\cal A} \subset \IG_s of
the solvable Lie algebra. The solvable algebras of maximal rank occurring in
maximal supergravities in diverse dimensions are described in some detail. A
particular example of a solvable Lie algebra is a rank one,
--dimensional algebra displayed by the classical quaternionic
spaces that are obtained via c-map from the special K\"ahlerian moduli spaces
of Calabi-Yau threefolds.Comment: 17 pages, misprints in Table 2 correcte
Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes
We present the supersymmetric completion of the M-theory free differential
algebra resulting from a compactification to four dimensions on a twisted
seven-torus with 4-form and 7-form fluxes turned on. The super--curvatures are
given and the local supersymmetry transformations derived. Dual formulations of
the theory are discussed in connection with classes of gaugings corresponding
to diverse choices of vacua. This also includes seven dimensional
compactifications on more general spaces not described by group manifolds.Comment: 19 pages, LaTeX, typos corrected, references adde
N=4 supergravity for Type IIB on T^6/Z_2 in presence of fluxes
We report on the construction of four dimensional gauged supergravity models
that can be interpreted as type IIB orientifold compactification in presence of
3-form fluxes and D3--branes. We mainly address our attention to the symplectic
embedding of the U-duality group of the theory and the consequent choice of the
gauge group, whose four dimensional killing vectors are the remnant of the ten
dimensional fluxes. We briefly discuss the structure of the scalar potential
arising from the gauging and the properties of the killing vectors in order to
preserve some amount of supersymmetry.Comment: LaTeX, iopart class, 9 pages, Contribution to the proceedings of the
workshop of the RTN Network "The quantum structure of space-time and the
geometric nature of fundamental interactions",Copenhagen, September 2003 2nd
version, references adde
Gauged extended supergravity without cosmological constant: no-scale structure and supersymmetry breaking
We consider the interplay of duality symmetries and gauged isometries of
supergravity models giving N-extended, spontaneously broken supergravity with a
no-scale structure. Some examples, motivated by superstring and M-theory
compactifications are described.Comment: AMS-LaTeX, 16 pages. Invited paper to appear in the review section of
the IJMP
Kahler Anomalies in Supergravity and Flux Vacua
We review the subject of Kahler anomalies in gauged supergravity, emphasizing
that field equations are inconsistent when the Kahler potential is
non-invariant under gauge transformations or when there are elementary
Fayet-Iliopoulos couplings. Flux vacua solutions of string theory with gauged
U(1) shift symmetries appear to avoid this problem. The covariant Kahler
anomalies involve tensors which are composite functions of the scalars as well
as the gauge field strength and space-time curvature tensors. Anomaly
cancellation conditions will be discussed in a sequel to this paper.Comment: 29 pages; v2: revised presentation, section on Fayet-Iliopoulos
couplings cut, effects of gauginos on anomalies included, references adde
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