3,448 research outputs found

### Extremal Black Holes in Supergravity and the Bekenstein-Hawking Entropy

We review some results on the connection among supergravity central charges,
BPS states and Bekenstein-Hawking entropy. In particular, N=2 supergravity in
four dimensions is studied in detail. For higher N supergravities we just give
an account of the general theory specializing the discussion to the N=8 case
when one half of supersymmetry is preserved. We stress the fact that for
extremal supergravity black holes the entropy formula is topological, that is
the entropy turns out to be a moduli independent quantity and can be written in
terms of invariants of the duality group of the supergravity theory.Comment: LaTeX, 65 pages. Contribution to the journal ``Entropy'', ISSN
1099-430

### Supergravities in diverse dimensions and their central extension

In this lecture moduli dependent charges for p-extended objects are analyzed
for generic N-extended supergravities in dimensions 4 \leq D <10. Differential
relations and sum rules among the charges are derived.Comment: 10 pages, LaTeX; Talk given at the WorkShop on Gauge Theories,
Applied Supersymmetry and Quantum Gravity, London, 5-10 July 199

### More on the Hidden Symmetries of 11D Supergravity

In this paper we clarify the relations occurring among the osp(1|32) algebra,
the M-algebra and the hidden superalgebra underlying the Free Differential
Algebra of D=11 supergravity (to which we will refer as DF-algebra) that was
introduced in the literature by D'Auria and Fr\'e in 1981 and is actually a
(Lorentz valued) central extension of the M-algebra including a nilpotent
spinor generator, Q'. We focus in particular on the 4-form cohomology in 11D
superspace of the supergravity theory, strictly related to the presence in the
theory of a 3-form $A^{(3)}$. Once formulated in terms of its hidden
superalgebra of 1-forms, we find that $A^{(3)}$ can be decomposed into the sum
of two parts having different group-theoretical meaning: One of them allows to
reproduce the FDA of the 11D Supergravity due to non-trivial contributions to
the 4-form cohomology in superspace, while the second one does not contribute
to the 4-form cohomology, being a closed 3-form in the vacuum, defining however
a one parameter family of trilinear forms invariant under a symmetry algebra
related to osp(1|32) by redefining the spin connection and adding a new
Maurer-Cartan equation. We further discuss about the crucial role played by the
1-form spinor $\eta$ (dual to the nilpotent generator Q') for the 4-form
cohomology of the eleven dimensional theory on superspace.Comment: Title and abstract changed to better represent the content, some
points clarified, mainly in Section 2 and in the concluding section,
references added. Version accepted for publication on Physics Letters

### Central Extension of Extended Supergravities in Diverse Dimensions

We generalize central-charge relations and differential identities of N=2
Special Geometry to N extended supergravity in any dimension 4 \leq D <10, and
p-extended objects. We study the extremization of the ADM mass per unit of
p-volume of BPS extended objects. Runaway solutions for a ``dilaton'' degree of
freedom leading to a vanishing result are interpreted as BPS extremal states
having vanishing Bekenstein-Hawking Entropy.Comment: 13 pages, LaTeX, no figures. This is the last version which will
appear in International Journal of Modern Physics

### U-Duality and Central Charges in Various Dimensions Revisited

A geometric formulation which describes extended supergravities in any
dimension in presence of electric and magnetic sources is presented. In this
framework the underlying duality symmetries of the theories are manifest.
Particular emphasis is given to the construction of central and matter charges
and to the symplectic structure of all D=4, N-extended theories. The latter may
be traced back to the existence, for N>2, of a flat symplectic bundle which is
the N>2 generalization of N=2 Special Geometry.Comment: Misprints corrected and some relations added in six dimensional
non-chiral theorie

### Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter

We analyze the constraints which follow both on the geometry and on the gauge
sector for a consistent supergravity reduction of a general matter-coupled N=2
supergravity theory in four dimensions. These constraints can be derived in an
elegant way by looking at the fermionic sector of the theory.Comment: LaTeX, 16 page

### N=2 Supergravity Lagrangian Coupled to Tensor Multiplets with Electric and Magnetic Fluxes

We derive the full N=2 supergravity Lagrangian which contains a symplectic
invariant scalar potential in terms of electric and magnetic charges. As shown
in reference [1], the appearance of magnetic charges is allowed only if tensor
multiplets are present and a suitable Fayet-Iliopoulos term is included in the
fermion transformation laws. We generalize the procedure in the quoted
reference by adding further a Fayet-Iliopoulos term which allows the
introduction of electric charges in such a way that the potential and the
equations of motion of the theory are symplectic invariant. The theory is
further generalized to include an ordinary electric gauging and the form of the
resulting scalar potential is given.Comment: 1+34 pages LaTeX, correction of a typo in the ungauged scalar
potentia

### 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
$\hat{A}^{(3)}$) 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

### Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity

In this paper we perform, in the spirit of the holographic correspondence, a
particular asymptotic limit of N=2, AdS_4 supergravity to N=2 supergravity on a
locally AdS_3 boundary. Our boundary theory enjoys OSp(2|2) x SO(1,2)
invariance and is shown to contain the D=3 super-Chern Simons OSp(2|2) theory
considered in [Alvarez:2011gd] and featuring "unconventional local
supersymmetry". The model constructed in that reference describes the dynamics
of a spin-1/2 Dirac field in the absence of spin 3/2 gravitini and was shown to
be relevant for the description of graphene, near the Dirac points, for
specific spatial geometries. Our construction yields the model in
[Alvarez:2011gd] with a specific prescription on the parameters. In this
framework the Dirac spin-1/2 fermion originates from the radial components of
the gravitini in D=4.Comment: 23 page

### Low-Temperature Quantum Critical Behaviour of Systems with Transverse Ising-like Intrinsic Dynamics

The low-temperature properties and crossover phenomena of $d$-dimensional
transverse Ising-like systems within the influence domain of the quantum
critical point are investigated solving the appropriate one-loop
renormalization group equations. The phase diagram is obtained near and at
$d=3$ and several sets of critical exponents are determined which describe
different responses of a system to quantum fluctuations according to the way of
approaching the quantum critical point. The results are in remarkable agreement
with experiments for a wide variety of compounds exhibiting a quantum phase
transition, as the ferroelectric oxides and other displacive systems.Comment: 36 pages, 2 figures, accepted in Physica

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