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We reformulate Euclidean general relativity without cosmological constant as an action governing the complex structure of twistor space.
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M. F. Atiyah, N. J. Hitchin, and I. M. Singer, Selfduality in Four-Dimensional Riemannian Geometry
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M. Bershadsky, S. Cecotti, H. Ooguri, and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
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T. Adamo, L. Mason, and A. Sharma, MHV scattering of gluons and gravitons in chiral strong fields
2003
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E. Witten, Perturbative gauge theory as a string theory in twistor space
2004
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N. Berkovits, An Alternative string theory in twistor space for N=4 superYang-Mills
2004
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R. Roiban, M. Spradlin, and A. Volovich, On the tree level S matrix of Yang-Mills theory
2004
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F. Cachazo, P. Svrcek, and E. Witten, MHV vertices and tree amplitudes in gauge theory
2004
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N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory
2004
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D. McDuff and D. Salamon, J-holomorphic curves and symplectic topology
2004
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L. J. Mason, Twistor actions for non-self-dual fields: A Derivation of twistor-string theory
2005
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N. E. J. Bjerrum-Bohr, D. C. Dunbar, H. Ita, W. B. Perkins, and K. Risager, MHV-vertices for gravity amplitudes
2006
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M. Abou-Zeid and C. M. Hull, A Chiral perturbation expansion for gravity
2006
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R. Boels, L. J. Mason, and D. Skinner, Supersymmetric Gauge Theories in Twistor Space
2007
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R. Boels, L. J. Mason, and D. Skinner, From twistor actions to MHV diagrams
2007
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M. Wolf, Self-Dual Supergravity and Twistor Theory
2007
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K. Krasnov and Y. Shtanov, Chiral perturbation theory for GR
2007
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M. Bianchi, H. Elvang, and D. Z. Freedman, Generating Tree Amplitudes in N=4 SYM and N = 8 SG
2008
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S. Speziale and W. M. Wieland, The twistorial structure of loop-gravity transition amplitudes
2012
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F. Cachazo and D. Skinner, Gravity from Rational Curves in Twistor Space
2013
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PhD thesis, University of Oxford, 2013
T. Adamo, Twistor actions for gauge theory and gravity · 2013
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Y. Geyer, A. E. Lipstein, and L. J. Mason, Ambitwistor Strings in Four Dimensions
2014
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F. Cachazo, L. Mason, and D. Skinner, Gravity in Twistor Space and its Grassmannian Formulation
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W. Jiang, Aspects of Yang-Mills Theory in Twistor Space · 2008
Cited alongside, same era.
2010
Cited alongside, same era.
T. Adamo, L. Mason, and A. Sharma, Gluon scattering on self-dual radiative gauge fields
2010
Cited alongside, same era.
L. J. Mason and D. Skinner, Gravity, Twistors and the MHV Formalism
2010
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2011
Cited alongside, same era.
2011
Cited alongside, same era.
T. Adamo, Correlation functions, null polygonal Wilson loops, and local operators
2011
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2014
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T. Adamo and L. Mason, Conformal and Einstein gravity from twistor actions
2014
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2015
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2015
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R. Penrose, Palatial twistor theory and the twistor googly problem
2015
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T. Adamo, Gravity with a cosmological constant from rational curves
2015
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2016
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2016
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T. Adamo, D. Skinner, and J. Williams, Twistor methods for AdS 5
2016
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2017
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2017
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T. Adamo, Lectures on twistor theory
2018
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T. Adamo, D. Skinner, and J. Williams, Minitwistors and 3d Yang-Mills-Higgs theory
2018
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D. Skinner, Twistor strings for 𝒩 \mathcal{N} = 8 supergravity
2020
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