General relativity: from geometry to amplitudes

Workshop theme

Gravity is a dynamical theory of metrics on space- time that follows from the standard Einstein-Hilbert action principle. However, there are indications from scattering amplitudes, string theory and twistor theory that this may not be the only or even the best way to understand the full structure of the theory. Important insights and simplifications arise by reformulating 4d gravity as a theory of connections on space-time rather than metrics. The manifolds of G2 holonomy suggest a link between 3d, 4d and 7d geometrical structures. One can alternatively formulate gravity and its amplitudes in (ambi-) twistor space leading to unexpected formulae and structures. The scattering amplitudes of general relativity appear to be a double copy of those in Yang-Mills theory. Furthermore, perturbative calculations of GR amplitudes do not use a space-time Lagrangian and indeed their connection to the standard Einstein-Hilbert action remains obscure. The aim of this workshop is to bring together experts working on these different aspects of gravity to obtain a more coherent understanding.

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Timetable

Monday 27th June 2016
09:00 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from John Toland (INI Director)	Room 1
10:00 to 11:00	Bernd Ammann Universität Regensburg Ricci-flat manifolds and a spinorial flow	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Yong Wei University College London Laplacian flow for closed G_2-structures	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:30 to 15:30	Bruno Premoselli Université Libre de Bruxelles Non-compactness of initial data sets in high dimensions.	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Dmitri Panov King's College London Circle-invariant definite connections and symplectic Fano 6-manifolds	Room 1
17:00 to 18:00	Welcome Wine Reception	No Room Required

Tuesday 28th June 2016
09:00 to 10:00	Lorenzo Foscolo Stony Brook University ALC G2 manifolds	Room 1
10:00 to 11:00	Andriy Haydys Universität Bielefeld G2-instantons and Seiberg-Witten monopoles	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Thomas Walpuski Massachusetts Institute of Technology G₂–instantons over twisted connected sums	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:30 to 15:30	Simon Salamon King's College London; Politecnico di Torino Twistor analysis of a parabola	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Yannick Herfray University of Nottingham; ENS - Lyon A 6d interpretation of 3d gravity	Room 1

Wednesday 29th June 2016
09:00 to 10:00	Bobby Acharya King's College London; Abdus Salam International Centre for Theoretical Physics Geometry, Particle Physics and singular G2-manifolds	Room 1
10:00 to 11:00	Arthur Lipstein University of Durham On-Shell Diagrams for N = 8 Supergravity Amplitudes	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Radu Silviu Roiban Pennsylvania State University tba	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:30 to 15:30	Kellogg Stelle Imperial College London Black Holes and Higher Derivatives in Gravity	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	John Joseph Carrasco CEA/Saclay Efficiency=Geometry? Decoding the DNA of prediction in gauge, gravity, and effective field theories.	Room 1
17:15 to 17:45	Rutger Boels Universität Hamburg Squaring relations from on-shell constraints	Room 1

Thursday 30th June 2016
09:00 to 10:00	Emil Bjerrum-Bohr Københavns Universitet (University of Copenhagen) String Theory, Scattering Equations and Analytic Gluon Amplitudes	Room 1
10:00 to 11:00	Ricardo Monteiro CERN - European Organisation for Nuclear Research One Loop Integrands for Scattering Amplitudes from the Riemann Sphere	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Yvonne Geyer University of Oxford Two-loop Integrands from the Riemann Sphere	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:30 to 15:30	Peter Goddard Institute for Advanced Study, Princeton Solving the Scattering Equations	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Christopher White University of Glasgow The classical double copy	Room 1
19:30 to 22:00	Formal Dinner at Emmanuel College	No Room Required

Friday 1st July 2016
09:00 to 10:00	Oliver Schlotterer Max-Planck-Institut für Gravitationphysik Universality in string interactions	Room 1
10:00 to 11:00	Nathan Berkovits ICTP-SAIFR/IFT-UNESP, Sao Paulo Untwisting the pure spinor formalism	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Piotr Tourkine University of Cambridge On the null string origin of the ambitwistor string	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:30 to 15:30	Alexander Ochirov University of Edinburgh Color-kinematics duality for QCD and pure gravities	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Jaroslav Trnka University of California, Davis Singularity structure of gravity amplitudes	Room 1

General relativity: from geometry to amplitudes

Organisers

Joel Fine Université Libre de Bruxelles
Kirill Krasnov University of Nottingham
Donal O'Connell University of Edinburgh

Speakers

Bobby Acharya King's College London; Abdus Salam International Centre for Theoretical Physics
Bernd Ammann Universität Regensburg
Nathan Berkovits ICTP-SAIFR/IFT-UNESP, Sao Paulo
Emil Bjerrum-Bohr Københavns Universitet (University of Copenhagen)
Rutger Boels Universität Hamburg
John Joseph Carrasco CEA/Saclay
Lorenzo Foscolo Stony Brook University
Yvonne Geyer University of Oxford
Peter Goddard Institute for Advanced Study, Princeton
Andriy Haydys Universität Bielefeld
Yannick Herfray University of Nottingham; ENS - Lyon
Arthur Lipstein University of Durham
Ricardo Monteiro CERN - European Organisation for Nuclear Research
Alexander Ochirov University of Edinburgh
Dmitri Panov King's College London
Bruno Premoselli Université Libre de Bruxelles
Radu Silviu Roiban Pennsylvania State University
Simon Salamon King's College London; Politecnico di Torino
Oliver Schlotterer Max-Planck-Institut für Gravitationphysik
Kellogg Stelle Imperial College London
Piotr Tourkine University of Cambridge
Jaroslav Trnka University of California, Davis
Thomas Walpuski Massachusetts Institute of Technology
Yong Wei University College London
Christopher White University of Glasgow

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Participants

Bobby Acharya King's College London; Abdus Salam International Centre for Theoretical Physics
Tim Adamo University of Cambridge
Bernd Ammann Universität Regensburg
Emil Bjerrum-Bohr Københavns Universitet (University of Copenhagen)
Rutger Boels Universität Hamburg
Leron Borsten Dublin Institute for Advanced Studies
John Joseph Carrasco CEA/Saclay
Eduardo Casali University of Oxford
Louise Dolan University of North Carolina
Maciej Dunajski University of Cambridge
Bo Feng Zhejiang University
Joel Fine Université Libre de Bruxelles
Lorenzo Foscolo Stony Brook University
Chih-Hao Fu University of Nottingham
Yvonne Geyer University of Oxford
Peter Goddard Institute for Advanced Study, Princeton
Michael Green University of Cambridge
Andriy Haydys Universität Bielefeld
Yannick Herfray University of Nottingham; ENS - Lyon
Kirill Krasnov University of Nottingham
Arthur Lipstein University of Durham
Andres Luna University of Glasgow
Lionel Mason University of Oxford
Ricardo Monteiro CERN - European Organisation for Nuclear Research
Stefan Nekovar University of Oxford
Donal O'Connell University of Edinburgh
Alexander Ochirov University of Edinburgh
Dmitri Panov King's College London
Sabrina Pasterski Harvard University; Massachusetts Institute of Technology
Bruno Premoselli Université Libre de Bruxelles
Kai Roehrig
Radu Silviu Roiban Pennsylvania State University
Simon Salamon King's College London; Politecnico di Torino
Carlos Scarinci University of Nottingham
Oliver Schlotterer Max-Planck-Institut für Gravitationphysik
Michael Singer University College London
David Skinner University of Cambridge
Kellogg Stelle Imperial College London
Piotr Tourkine University of Cambridge
Jaroslav Trnka University of California, Davis
Pierre Vanhove IHES; CEA/Saclay
Thomas Walpuski Massachusetts Institute of Technology
Yong Wei University College London
Hartmut Weiss Christian-Albrechts-Universität zu Kiel
Christopher White University of Glasgow