CEA, CNRS, F-91191 Gif sur Yvette, France
iosif.bena, johan.blaback, david.turton @ cea.fr
Abstract
Antibranes provide some of **the** most generic ways **to** uplift Anti-de Sitter flux compactifications **to** de Sitter, and there is a growing body of evidence that antibranes placed in long warped throats such as **the** Klebanov-Strassler warped deformed conifold solution have a brane-brane-repelling tachyon. This tachyon was first found in **the** regime of parameters in which **the** backreaction of **the** antibranes is large, and its existence was inferred from a highly nontriv- ial cancellation of certain terms in **the** inter-brane **potential**. We use a brane effective action approach, similar **to** that proposed by Michel, Mintun, Polchin- ski, Puhm and Saad in arXiv:1412.5702, **to** analyze antibranes in Klebanov- Strassler when their backreaction is small, and find a regime of parameters where all perturbative contributions **to** **the** action can be computed explicitly. We find that **the** cancellation found at strong coupling is also present in **the** weak-coupling regime, and we establish its existence **to** all loops. Our cal- culation indicates that **the** spectrum of **the** **antibrane** worldvolume theory is not gapped, and may generically have a tachyon. Hence uplifting mechanisms involving antibranes remain questionable even when backreaction is small.

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with respect **to** **the** top Yukawa coupling. Our purpose here is **to** elucidate **the** dependence of **the** **corrections** **to** **the** SM-like Higgs boson mass m h on relevant parameters such as **the**
stop masses and mixing and **the** gluino masses, rather than provide accurate predictions for all Higgs boson masses in realistic scenarios. We therefore approximate **the** one-**loop** part of **the** **corrections** with **the** dominant top/stop contributions at vanishing external momentum, obtained by combining **the** formulae for **the** Higgs mass matrices given for MDGSSM and MRSSM in sections 3.3 and 3.4 , respectively, with **the** one-**loop** functions given in eq. ( 3.59 ). We recall that a computation of **the** Higgs boson masses in models with Dirac gauginos could also be obtained in an automated way by means of **the** package SARAH [ 51 – 56 ]. That would include **the** full one-**loop** **corrections** [ 54 ] and **the** two-**loop** **corrections** computed in **the** gaugeless limit at vanishing external momentum [ 57 , 58 ]. However, **the** computation implemented in SARAH employs **the** DR renormalisation scheme, and does not easily lend itself **to** an adaptation **to** **the** OS scheme which, as discussed in section 3.7.2 , can be more appropriate in scenarios with heavy gluinos.

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In order **to** get an agreement with **the** experimental decay width, **the** square of **the** wave function at **the** origin needs **to** be of **the** order of 6 **to** 8 GeV 3 . This has several interesting
consequences. On **the** one hand, two potentials which are compatible with **the** J/Ψ decay width (logarithmic [14], and power law [13]) give a far too small decay width for **the** Υ [17]. These potentials have no Coulombic components, and they lack in high momentum components which show up in **the** Υ sector. On **the** other hand, a pure Coulombic **potential** still gives a too large wave function at **the** origin. **The** two potentials of Refs. [12, 15], which correct **the** Coulomb interaction at short distances according **to** asymptotic freedom, are compatible with **the** experimental Υ decay width 3 , as well as **the** J/Ψ one.

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it is tempting **to** make **the** following substitution in **the** super-Maxwell action: F r 1 r 2 → R r 1 r 2 s 1 s 2 , χ → ψ s 1 s 2 , D r χ → D r ψ s 1 s 2 , (10) Unfortunately, **the** difference in structure between **the** equations of motion for **the** gauge **potential** and **the** spin connection implies that **the** previous mapping does not commute with supersymmetry, as can be seen by **the** presence of **the** second line in **the** supersymmetry transformation of **the** Riemann tensor above. Another crucial difference between **the** super-Maxwell and supergravity cases is that, when subtracting all **the** lowest-order equations of motions, it is necessary **to** make **the** following substitution for **the** Riemann tensor:

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Massachusetts Institute of Technology June 29, 2010
Abstract—In a conference paper titled “Geometric Properties of Gradient Projection Anti-windup Compensated Systems,” two main results were presented. **The** first is **the** controller state- output consistency property of gradient projection anti-windup (GPAW) compensated controllers. **The** second is a geometric bounding condition relating **the** vector fields of **the** uncompen- sated and GPAW compensated closed-**loop** systems with respect **to** a star domain. While **the** controller state-output consistency property stands without modifications, **the** proof of **the** geometric bounding condition depends on two lemmas, **the** proofs of which were found **to** be faulty. In this report, we present a new proof of **the** geometric bounding condition using concepts from convex analysis, together with minor miscellaneous **corrections**.

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“He’s passin’ out shitpaper – headed this way. I’m xin’ **to** gig **the** shit outta this fuckin’ toad”, he said, glee ringing in his voice.
When **the** Building Tender – called a “BT” – had feigned ignorance **to** **the** whereabouts of **the** AB’s contraband, Hitman had secretly unscrewed **the** mophead, straightened **the** three-sixteenths diameter retainer **loop** into a two-foot-long spear, sharpened **the** tip and lashed it **to** **the** mopstick. It was now an oversized frog-gig. **The** shitter brush he’d soaked in wet towels over **the** weekend – after tearing all **the** bristles out. That was **the** sledgehammer which had bowled me out of bed all **the** way through **the** four inch-thick concrete wall between us. It had an eighteen inch-long oak handle as thick as a closet pole and was now a war hammer worthy of Thor.

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However, these issues with mis-declarations of fringe jumps may also be indicative of a different issue. In our implementation of **the** diffmod metric, by calculating both nominal raw phase values from **the** K band setpoint, we have implicitly assumed that **the** H band setpoint is **the** setpoint calculated from **the** ideal (4/3) proportion between **the** H and K phases. In practice, this is not **the** case. **The** H and K band setpoints have a differential offset, **the** predominant cause of which is **the** placement of **the** software apertures over which phase sensing calculations are done. Dispersion in **the** optical components of PHASECam and dispersion from water vapor also contribute. There is a calculation of this offset value in **the** PHASECam software, but its implementation with regards **to** fringe jump capture is still being revised. Implementing this, alongside finalizing **the** H band phase unwrapping algorithm as previously mentioned should significantly increase **the** accuracy of **the** diffmod **loop**. Correct determination of **the** H band setpoint will also allow us **to** make **the** transition from using **the** raw H and K band phases **to** **the** pinned phases. As previously described, this will center **the** measured phase values so that **the** maximum measurable error is not reduced by **the** choice of setpoint, increasing **the** Gaussianity of **the** noise statistics which should further increase **the** accuracy of **the** diffmod.

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One interesting aspect of **the** method described in this paper is that it relies on evaluation of **loop** integrals that are formally identical **to** those of a massless QFT. This is a new bridge between cosmology and particle physics and **the** full **potential** of this connection is still **to** be explored. This remains **the** major direction for future work. One hope is that many developments in **the** theory of scattering amplitudes will prove useful for going beyond **the** lowest order statistics discussed in this paper. **The** first step in this direction is a practical analytic formula for **the** one-**loop** trispectrum. In principle, that would allow **the** calculation of **the** three-**loop** power spectrum or **the** two-**loop** bispectrum. In practice, following procedure described in this paper may turn out **to** be too difficult or impractical. After all, **the** trispectrum is a function of six variables, which makes it much more complicated than examples we considered so far.

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Per-example feature selection has also been studied in (Avdiyenko, Bertschinger, and Jost 2012). They proposed a filter method based on **the** mutual information between fea- tures and target variables, conditioned on **the** specific val- ues of each example. **The** mutual information is then used as a score **to** rank **the** k most relevant features for each in- put. Their work contrasts with ours in two significant ways: (i) their method is deterministic and completely data-driven, whereas ours include human feedback **to** provide insights that cannot be automatically inferred from small or com- plex datasets; (ii) they build a subset sequentially, while our method produces a candidate subset in a single step, with no need for an arbitrary stop criterion.

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where rrr and vvv are **the** position and velocity vectors; ˆ θ θ θ = e H H H · ˆrrr/H.
In this work, using **the** direct approach of Kozai [1], we will derive **the** short-period correction terms in **the** vectorial formulation for **the** J 2 effect only (contributions due **to** other perturbing forces
will be addressed in future research) and apply these **to** determine **the** appropriate initial conditions in **the** osculating sense for targeting disposal regions depicted in mean element space in stability maps.

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r]

(1995) inter- preted the fringes observed on 1992-93 interferograms of Etna (without tropospheric correction) as the sum of a regional volcano-wide ground subsidence due to the [r]

These results are of course a first step towards a study which would include charge and current densities, and more complex media. Future de- velopments for this study first include **the** generalization **to** heterogeneous media in order **to** treat aircraft coatings for example. In this context each component of **the** field is not a solution **to** a wave equation with uniform light velocity, therefore an extension of our method has **to** be derived. A careful study of which material constants ε and µ have **to** be considered has **to** be performed as in **the** case of **the** finite volume schemes [21].

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Proteins can be represented using simplified models where **the** degrees of freedom (DOFs) are **the** dihedral bond angles. **The** resulting search space is still vast even for relatively small loops. **The** protein **loop** modeling problem resembles **the** inverse kinematics (IK) problem in robotics and computer graphics where **the** protein’s backbone can be viewed as an articulated linkage. **The** goal then becomes **to** assign values **to** each of **the** dihedral angles such that **the** two ends of **the** **loop** keep connected **to** **the** rest of **the** protein, in effect closing **the** **loop**, while avoiding collisions with itself and **the** protein. Several robotics-inspired approaches **to** **loop** modeling have been proposed over **the** years [1], [2], [3]. Shehu and Kavraki provide a good review of **the** techniques applied **to** **loop** sampling [4].

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In recent times a lot of attention has been paid **to** **the** development of machine learning techniques able **to** unveil governing equations from data. This is specially important for constitutive equations that, unlike other more epistemologically sound equations—like equilibrium, for instance—are often phenomenological and inexact. Their precise expression is found by data fitting, leading very often **to** poor fitting **to** **the** experimental results.

stratospheric water vapour, it does not take into account **the** production of carbon dioxide from methane oxidation. We argue here that this CO 2 -induced effect should be included for fossil
sources of methane, which results in slightly larger GWP values for all time horizons. If **the** global temperature change **potential** is used as an alternative climate metric, then **the** impact of **the** CO 2 -induced effect is proportionally much larger. We also discuss what **the** correction term

Then the potential energy density (2. 16) At this point we stress that the potential energy density (2. 16) depends on the intrinsic kinetic ener- gy density r' ' defined in Eq. 15) inst[r]

ivory mask earlier this year. He regrets that political circumstances at present make it impossible for him **to** present **the** mask **to** **the** Nigerians, but he hopes that on a future occasion he will be able **to** do so. 120
As these lines suggest, it had belatedly dawned on **the** British government that its Nigerian counterpart might not, **to** put it mildly, find solace in a copy. Of particular interest here is **the** fact that both of **the** letters **to** Giles, as well as **the** memorandum quoted earlier relaying Eyo’s appalled response, postdate FESTAC: **the** first was written on July 29, 1977, and **the** second on October 11. Well after **the** festival had come **to** an end, **the** pendant bomb was still ticking. **The** replica was not ready in time for FESTAC. Museum records show it was crafted by Giles between June 3 and 15, a full five months after **the** event. Why this was remains unclear. What is certain is that in at least two instances after **the** festival, **the** FCO attempted **to** present **the** copy **to** representatives of **the** Nigerian government **to** no avail: they were not interested in even discussing **the** subject. One instance verges on **the** comical. In June 1977, **the** Commonwealth Meeting was hosted in London, bringing together twenty-six heads of government from across **the** anglophone world. In this context, Owen raised **the** matter of **the** replica with Joseph Nanven Garba, **the** Nigerian Commissioner for Foreign Affairs, and was met with stony silence. A related suggestion that **the** FCO seek out for Nigeria an alternative pendant rumored **to** be in private British hands was met with equal silence, or, as one memorandum put it, “studious avoidance.” 121 In **the** face of Nigeria’s steadfast refusal **to** engage, **the** FCO finally

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