75 research outputs found
From Twistor Actions to MHV Diagrams
We show that MHV diagrams are the Feynman diagrams of certain twistor actions
for gauge theories in an axial gauge. The gauge symmetry of the twistor action
is larger than that on space-time and this allows us to fix a gauge that makes
the MHV formalism manifest but which is inaccessible from space-time. The
framework is extended to describe matter fields: as an illustration we
explicitly construct twistor actions for an adjoint scalar with arbitrary
polynomial potential and a fermion in the fundamental representation and show
how this leads to additional towers of MHV vertices in the MHV diagram
formalism.Comment: 12 pages, RevTe
Supersymmetric Gauge Theories in Twistor Space
We construct a twistor space action for N=4 super Yang-Mills theory and show
that it is equivalent to its four dimensional spacetime counterpart at the
level of perturbation theory. We compare our partition function to the original
twistor-string proposal, showing that although our theory is closely related to
string theory, it is free from conformal supergravity. We also provide twistor
actions for gauge theories with N<4 supersymmetry, and show how matter
multiplets may be coupled to the gauge sector.Comment: 23 pages, no figure
Whitham Prepotential and Superpotential
N=2 supersymmetric U(N) Yang-Mills theory softly broken to N=1 by the
superpotential of the adjoint scalar fields is discussed from the viewpoint of
the Whitham deformation theory for prepotential. With proper identification of
the superpotential we derive the matrix model curve from the condition that the
mixed second derivatives of the Whitham prepotential have a nontrivial kernel.Comment: 12 pages, Latex, references adde
Heterotic twistor-string theory
We reformulate twistor-string theory as a heterotic string based on a twisted
(0,2) model. The path integral localizes on holomorphic maps, while the (0,2)
moduli naturally correspond to the states of N=4 super Yang-Mills and conformal
supergravity under the Penrose transform. We show how the standard
twistor-string formulae of scattering amplitudes as integrals over the space of
curves in supertwistor space may be obtained from our model. The corresponding
string field theory gives rise to a twistor action for N=4 conformal
supergravity coupled to super Yang-Mills. The model helps to explain how the
twistor-strings of Witten and Berkovits are related and clarifies various
aspects of each of these models.Comment: 45 page
Gravity, Twistors and the MHV Formalism
We give a self-contained derivation of the MHV amplitudes for gravity and use
the associated twistor generating function to define a twistor action for the
MHV diagram approach to gravity. Starting from a background field calculation
on a spacetime with anti self-dual curvature, we obtain a simple spacetime
formula for the scattering of a single, positive helicity linearized graviton
into one of negative helicity. Re-expressing our integral in terms of twistor
data allows us to consider a spacetime that is asymptotic to a superposition of
plane waves. Expanding these out perturbatively yields the gravitational MHV
amplitudes of Berends, Giele & Kuijf. We go on to take the twistor generating
function off-shell at the perturbative level. Combining this with a twistor
action for the anti self-dual background, we obtain a twistor action for the
MHV diagram approach to perturbative gravity. We finish by extending these
results to supergravity, in particular N=4 and N=8.Comment: 39 pages, 3 figures. Minor typos corrected, some clarification adde
Scattering Amplitudes and BCFW Recursion in Twistor Space
Twistor ideas have led to a number of recent advances in our understanding of
scattering amplitudes. Much of this work has been indirect, determining the
twistor space support of scattering amplitudes by examining the amplitudes in
momentum space. In this paper, we construct the actual twistor scattering
amplitudes themselves. We show that the recursion relations of Britto, Cachazo,
Feng and Witten have a natural twistor formulation that, together with the
three-point seed amplitudes, allows us to recursively construct general tree
amplitudes in twistor space. We obtain explicit formulae for -particle MHV
and NMHV super-amplitudes, their CPT conjugates (whose representations are
distinct in our chiral framework), and the eight particle N^2MHV
super-amplitude. We also give simple closed form formulae for the N=8
supergravity recursion and the MHV and conjugate MHV amplitudes. This gives a
formulation of scattering amplitudes in maximally supersymmetric theories in
which superconformal symmetry and its breaking is manifest. For N^kMHV, the
amplitudes are given by 2n-4 integrals in the form of Hilbert transforms of a
product of purely geometric, superconformally invariant twistor delta
functions, dressed by certain sign operators. These sign operators subtly
violate conformal invariance, even for tree-level amplitudes in N=4 super
Yang-Mills, and we trace their origin to a topological property of split
signature space-time. We develop the twistor transform to relate our work to
the ambidextrous twistor diagram approach of Hodges and of Arkani-Hamed,
Cachazo, Cheung and Kaplan.Comment: v2: minor corrections + extra refs. v3: further minor corrections,
extra discussion of signature issues + more ref
Twistor methods for AdS5
We consider the application of twistor theory to five-dimensional anti-de
Sitter space. The twistor space of AdS is the same as the ambitwistor space
of the four-dimensional conformal boundary; the geometry of this correspondence
is reviewed for both the bulk and boundary. A Penrose transform allows us to
describe free bulk fields, with or without mass, in terms of data on twistor
space. Explicit representatives for the bulk-to-boundary propagators of scalars
and spinors are constructed, along with twistor action functionals for the free
theories. Evaluating these twistor actions on bulk-to-boundary propagators is
shown to produce the correct two-point functions.Comment: 24 pages, 4 figures. v2: typos fixed, published versio
HE-LHC: The High-Energy Large Hadron Collider: Future Circular Collider Conceptual Design Report Volume 4
In response to the 2013 Update of the European Strategy for Particle Physics (EPPSU), the Future Circular Collider (FCC) study was launched as a world-wide international collaboration hosted by CERN. The FCC study covered an energy-frontier hadron collider (FCC-hh), a highest-luminosity high-energy lepton collider (FCC-ee), the corresponding 100 km tunnel infrastructure, as well as the physics opportunities of these two colliders, and a high-energy LHC, based on FCC-hh technology. This document constitutes the third volume of the FCC Conceptual Design Report, devoted to the hadron collider FCC-hh. It summarizes the FCC-hh physics discovery opportunities, presents the FCC-hh accelerator design, performance reach, and staged operation plan, discusses the underlying technologies, the civil engineering and technical infrastructure, and also sketches a possible implementation. Combining ingredients from the Large Hadron Collider (LHC), the high-luminosity LHC upgrade and adding novel technologies and approaches, the FCC-hh design aims at significantly extending the energy frontier to 100 TeV. Its unprecedented centre-of-mass collision energy will make the FCC-hh a unique instrument to explore physics beyond the Standard Model, offering great direct sensitivity to new physics and discoveries
FCC-ee: The Lepton Collider: Future Circular Collider Conceptual Design Report Volume 2
In response to the 2013 Update of the European Strategy for Particle Physics, the Future Circular Collider (FCC) study was launched, as an international collaboration hosted by CERN. This study covers a highest-luminosity high-energy lepton collider (FCC-ee) and an energy-frontier hadron collider (FCC-hh), which could, successively, be installed in the same 100 km tunnel. The scientific capabilities of the integrated FCC programme would serve the worldwide community throughout the 21st century. The FCC study also investigates an LHC energy upgrade, using FCC-hh technology. This document constitutes the second volume of the FCC Conceptual Design Report, devoted to the electron-positron collider FCC-ee. After summarizing the physics discovery opportunities, it presents the accelerator design, performance reach, a staged operation scenario, the underlying technologies, civil engineering, technical infrastructure, and an implementation plan. FCC-ee can be built with today’s technology. Most of the FCC-ee infrastructure could be reused for FCC-hh. Combining concepts from past and present lepton colliders and adding a few novel elements, the FCC-ee design promises outstandingly high luminosity. This will make the FCC-ee a unique precision instrument to study the heaviest known particles (Z, W and H bosons and the top quark), offering great direct and indirect sensitivity to new physics
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