9,876 research outputs found
Perspectives for proof unwinding by programming languages techniques
In this chapter, we propose some future directions of work, potentially
beneficial to Mathematics and its foundations, based on the recent import of
methodology from the theory of programming languages into proof theory. This
scientific essay, written for the audience of proof theorists as well as the
working mathematician, is not a survey of the field, but rather a personal view
of the author who hopes that it may inspire future and fellow researchers
Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler
We construct explicitly a new class of backgrounds in type-IIB supergravity
which generalize the baryonic branch of Klebanov-Strassler. We apply a
solution-generating technique that, starting from a large class of solutions of
the wrapped-D5 system, yields the new solutions, and then proceed to study in
detail their properties, both in the IR and in the UV. We propose a simple
intuitive field theory interpretation of the rotation procedure and of the
meaning of our new solutions within the Papadopoulos-Tseytlin ansatz, in
particular in relation to the duality cascade in the Klebanov-Strassler
solution. The presence in the field theory of different VEVs for operators of
dimensions 2, 3 and 6 suggests that this is an important step towards the
construction of the string dual of a genuinely multi-scale (strongly coupled)
dynamical model.Comment: 37 pages, 7 figures. References added, version to appear in JHE
Inflation from Broken Scale Invariance
We construct a model of inflation based on a low-energy effective theory of
spontaneously broken global scale invariance. This provides a shift symmetry
that protects the inflaton potential from quantum corrections. Since the
underlying scale invariance is non-compact, arbitrarily large inflaton field
displacements are readily allowed in the low-energy effective theory. A weak
breaking of scale invariance by almost marginal operators provides a
non-trivial inflaton minimum, which sets and stabilizes the final low-energy
value of the Planck scale. The underlying scale invariance ensures that the
slow-roll approximation remains valid over large inflaton displacements, and
yields a scale invariant spectrum of perturbations as required by the CMB
observations.Comment: 18 pages, 3 figure
Dualities in Supersymmetric Field Theories
Lectures presented at the 33rd Karpacz Winter School ``Duality: Strings and
Fields'' briefly introducing dualities in four-dimensional quantum field
theory, and summarizing results found in supersymmetric field theories. The
first lecture describes physical aspects of electric-magnetic (EM), strong-weak
coupling (S), and infrared (IR) dualities. The second lecture focuses on
results and conjectures concerning S-duality in N=2 supersymmetric gauge
theories. The third lecture discusses IR-dualities and their relation to
S-duality in N=1 supersymmetric field theories.Comment: 9 pages, latex with espcrc2.st
Isospin Dependence of Power Corrections in Deep Inelastic Scattering
We present results of a perturbative QCD analysis of deep inelastic
measurements of both the deuteron and proton structure functions. We evaluate
the theoretical uncertainty associated to nuclear effects in the deuteron, and
we extract simultaneously the isospin depedendence of: i)the higher twists
terms; ii) the ratio of the longitudinal to transverse cross sections; iii) the
ratio of the neutron to proton structure functions. The extraction of the
latter, in particular, has been at the center of an intense debate. Its
accurate determination is crucial both theoretically and for the interpretation
of the more precise neutrino experiments including the newly planned high
intensity 50 GeV proton synchrotron.Comment: 33 pages, 16 figure
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