c-Map for Born–Infeld theories Andrianopoli, L.; D'Auria, R.; Ferrara, S. ...
Physics letters. B,
07/2016, Letnik:
758, Številka:
C
Journal Article
Recenzirano
Odprti dostop
The c-map of four dimensional non-linear theories of electromagnetism is considered both in the rigid case and in its coupling to gravity. In this way theories with antisymmetric tensors and scalars ...are obtained, and the three non-linear representations of N = 2 supersymmetry partially broken to N = 1 related. The manifest Sp(2n) and U(n) covariance of these theories in their multifield extensions is also exhibited. This construction extends to H-invariant non-linear theories of Born–Infeld type with non-dynamical scalars spanning a symmetric coset manifold G/H and the vector field strengths and their duals in a symplectic representation of G as is the case for extended supergravity.
In this paper we address the question how to discriminate whether the gauged isometry group 𝒢Σ of the Kähler manifold Σ that produces a D‐type inflaton potential in a Minimal Supergravity Model is ...elliptic, hyperbolic or parabolic. We show that the classification of isometries of symmetric cosets can be extended to non symmetric Σ.s if these manifolds satisfy additional mathematical restrictions. The classification criteria established in the mathematical literature are coherent with simple criteria formulated in terms of the asymptotic behavior of the Kähler potential 𝒦(C) = 2 J(C) where the real scalar field C encodes the inflaton field. As a by product of our analysis we show that phenomenologically admissible potentials for the description of inflation and in particular α‐attractors are mostly obtained from the gauging of a parabolic isometry, this being, in particular the case of the Starobinsky model. Yet at least one exception exists of an elliptic α‐attractor, so that neither type of isometry can be a priori excluded. The requirement of regularity of the manifold Σ poses instead strong constraints on the α‐attractors and reduces their space considerably. Curiously there is a unique integrable α‐attractor corresponding to a particular value of this parameter.
The question is adressed how to discriminate whether the gauged isometry group of the Kähler manifold Σ that produces a D‐type inflaton potential in a Minimal Supergravity Model is elliptic, hyperbolic or parabolic. We show that the classification of isometries of symmetric cosets can be extended to non symmetric Σ.s if these manifolds satisfy additional mathematical restrictions. The classification criteria established in the mathematical literature are coherent with simple criteria formulated in terms of the asymptotic behavior of the Kähler potential 𝒦(C) = 2 J(C) where the real scalar field C encodes the inflaton field.
We investigate U(1)n supersymmetric Born–Infeld Lagrangians with a second non–linearly realized supersymmetry. The resulting non–linear structure is more complex than the square root present in the ...standard Born–Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets. The corresponding models are classified by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties.
U(1) n supersymmetric Born‐Infeld Lagrangians with a second non‐linearly realized supersymmetry are investigated. The resulting non‐linear structure is more complex than the square root present in the standard Born‐Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets.The corresponding models are classifed by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties.
We determine explicit orbit representatives of
reducible
Jordan algebras and their corresponding Freudenthal triple systems. This work has direct application to the classification of extremal black ...hole solutions of
N
=
2
, 4 locally supersymmetric theories of gravity coupled to an arbitrary number of Abelian vector multiplets in
D
= 4, 5 space-time dimensions.
The Reliability of the Modified Balance Error Scoring System Hunt, Tamerah N; Ferrara, Michael S; Bornstein, Robert A ...
Clinical journal of sport medicine,
2009-November, 2009-Nov, 2009-11-00, 20091101, Letnik:
19, Številka:
6
Journal Article
Recenzirano
OBJECTIVE:Study 1 investigated the intraclass reliability and percent variance associated with each component within the traditional Balance Error Scoring System (BESS) protocol. Study 2 investigated ...the reliability of subsequent modifications of the BESS.
DESIGN:Prospective cross-sectional examination of the traditional and modified BESS protocols.
SETTING:Schools participating in Georgia High School Athletics Association.
INTERVENTION:The modified BESS consisted of 2 surfaces (firm and foam) and 2 stances (single-leg and tandem-leg stance) repeated for a total of three 20-second trials.
PARTICIPANTS:Participants consisted of 2 independent samples of high school athletes aged 13 to 19 years.
MAIN OUTCOME MEASURES:Percent variance for each condition of the BESS was obtained using GENOVA 3.1. An intraclass reliability coefficient and repeated measures analysis of variance were calculated using SPSS 13.0.
RESULTS:Study 1 obtained an intraclass correlation coefficient (r = 0.60) with stance accounting for 55% of the total variance. Removing the double-leg stance increased the intraclass correlation coefficient (r = 0.71). Study 2 found a statistically significant difference between trials 1 and 2 (F(1.65,286) = 4.890, P = 0.013) and intraclass reliability coefficient of r = 0.88 for 3 trials of 4 conditions.
CONCLUSIONS:The variance associated with the double-leg stance was very small, and when removed, the intraclass reliability coefficient of the BESS increased. Removal of the double-leg stance and addition of 3 trials of 4 conditions provided an easily administered, cost-effective, time-efficient tool that provides reliable objective information for clinicians to base clinical decisions upon.
We derive the complete supergravity description of the
N
=
2
scalar potential which realizes a generic flux-compactification on a Calabi–Yau manifold (generalized geometry). The effective potential
V
...eff
=
V
(
∂
Z
V
=
0
)
, obtained by integrating out the massive axionic fields of the special quaternionic manifold, is manifestly mirror symmetric, i.e. invariant with respect to
Sp
(
2
h
2
+
2
)
×
Sp
(
2
h
1
+
2
)
and their exchange, being
h
1
,
h
2
the complex dimensions of the underlying special geometries.
V
eff
has a manifestly
N
=
1
form in terms of a mirror symmetric superpotential
W proposed, some time ago, by Berglund and Mayr.
Clinicians have questioned the need to obtain annual baseline neuropsychological tests in high school athletes. If no difference among academic grades exists, annual baseline testing may not be ...necessary.
To examine differences at baseline testing on pencil-and-paper neuropsychological tests among grade levels in high school athletes.
Cross-sectional, between-groups design.
Schools participating in a Georgia high school athletics association.
High school football players (n = 198) in the 9th through 12th grades, with a mean age of 15.78 +/- 1.16 years.
Participants were divided into 4 groups by grade and were administered a symptom checklist and brief neuropsychological test battery. Grade level served as the independent variable. Symptom and individual test scores within the neuropsychological test battery served as dependent variables.
Differences were noted among grades on the Trail Making Test A (F(3,194) = 3.23, P = .024, eta(2) = 0.048), Trail Making Test B (F(3,194) = 3.93, P = .009, eta(2) = 0.057), Symbol Digit Modalities Test (F(3,194) = 4.38, P = .005, eta(2) = 0.064), dominant tap (F(3,194) = 3.14, P = .026, eta(2) = 0.046), and nondominant tap (F(3,194) = 4.902, P = .003, eta(2) = 0.070). Using the Bonferroni correction (P <or= .00625), we found differences between the 9th grade and 11th and 12th grades.
Baseline neuropsychological test scores in high school athletes improved as a function of age, with differences between the 9th grade and 11th and 12th grades. Because the differences were driven by 9th-grade test scores, baseline testing should be completed, at minimum, upon entrance into 9th and 10th grades; however, annual testing is still recommended until additional research is conducted.
Forensic medical practitioners need to define the general principles governing procedures to be used for the on-site examination of a body where the death has occurred in unnatural, violent or ...suspicious circumstances. These principles should be followed whenever a medical expert is required to perform an on-site corpse inspection and should be utilised as a set of general guidelines to be adapted to the specific situation in hand and interpreted using common sense and scientific knowledge of the relevant procedures and facts of the case. The aim of these principles is to ensure that forensic evidence at the scene of a death is properly observed and assessed and all necessary relevant evidence gathered in order to ensure that a comprehensive report is available to the judicial authority (investigating judge or coroner) in the justice system. The on-site corpse inspection by a forensic practitioner is a mandatory and essential stage of the forensic and medico-legal autopsy, as it may provide important information for subsequent investigation stages.
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