Results 21 to 30 of about 104 (98)
Kinematic Lie Algebras from Twistor Spaces
Physical Review Letters, 2023 We analyze theories with color-kinematics duality from an algebraic perspective and find that any such theory has an underlying BV${}^{\color{gray} \blacksquare}$-algebra structure, extending the ideas of arXiv:1912.03110. Conversely, we show that any theory with a BV${}^{\color{gray} \blacksquare}$-algebra features a kinematic Lie algebra that ...
Leron Borsten +5 more
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MHV diagrams in momentum twistor space [PDF]
Journal of High Energy Physics, 2010 36 pages, 13 ...
Bullimore, Mathew +2 more
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Proceedings of the London Mathematical Society, 1981 The work of R. Penrose has shown the deep relationship between the conformal structure of Minkowski space and the complex geometry of lines in projective three-space. This transformation applies to a more general class of conformal structures and in particular there is a riemannian version, described in [5], which is itself of interest to mathematical ...
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Degenerations of LeBrun Twistor Spaces [PDF]
Communications in Mathematical Physics, 2010 We investigate various limits of the twistor spaces associated to the self-dual metrics on n CP ^2, the connected sum of the complex projective planes, constructed by C. LeBrun. In particular, we explicitly present the following 3 kinds of degenerations whose limits of the metrics are: (a) LeBrun metrics on (n-1) CP ^2$, (b) (Another) LeBrun metrics on
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Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds
MathematicsWe consider certain fiber bundles over paraquaternionic contact manifolds, called twistor and reflector spaces. We show that the twistor space carries an integrable CR structure (Cauchy–Riemann structure) and the reflector space is an integrable para-CR ...
Stefan Ivanov +2 more
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Twistor Cosmology and Quantum Space-Time [PDF]
AIP Conference Proceedings, 2005 The purpose of this paper is to present a model of a quantum space-time in which the global symmetries of space-time are unified in a coherent manner with the internal symmetries associated with the state space of quantum-mechanics. If we take into account the fact that these distinct families of symmetries should in some sense merge and become ...
Brody, D C, Hughston, L P
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A hidden 2d CFT for self-dual Yang-Mills on the celestial sphere
Journal of High Energy PhysicsSelf-dual Yang-Mills theory admits an underlying infinite dimensional symmetry algebra, which has been obtained from mode expansion of Mellin transformed 4d scattering amplitudes and separately, Koszul duality on twistor space.
Wei Bu, Sean Seet
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Twistor Spaces with Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1991 Among the class of Kähler surfaces with zero scalar curvature, only the twistor space of those surfaces which are also Ricci-flat can admit nonconstant meromorphic functions. Moreover, the transcendental degree of the function field of the twistor space over such surfaces is equal to one.
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A holographic connection between strings and causal diamonds
Journal of High Energy PhysicsIn this paper we explore ideas of holography and strings living in the d + 1 dimensional Anti-de Sitter space AdS d+1 in a unified framework borrowed from twistor theory. In our treatise of correspondences between geometric structures of the bulk AdS d+1,
Bercel Boldis, Péter Lévay
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