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Showing 1 to 12 of 12 for “"twistor space"”.
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Twistor Space and Celestial Holography
… more depth. The second part is a discussion of twistor methods for H$^3_\mathbb{C}$ and H$^5_\mathbb{C}$, the complexification of 3 and 5 dimensional hyperbolic space. We discuss the minitwistor space of the bulk and its relation to the ambitwistor space of the boundary. The third part of my …
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Integrability from Chern-Simons theories
… between holomorphic Chern-Simons theory on twistor space, 4d Chern-Simons theory and the anti-self-dual Yang-Mills equations. Part one opens with a review of 4d Chern-Simons theory, including a discussion of its connections to both quantum and classical integrable systems. It then turns to …
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Aspects of twistors and tractors in field theory
… with a review of the Fefferman-Graham embedding space construction and the closely-related tractor calculus, which provides a simple way to catalogue and invent conformally invariant operators. In particular, the conformal wave operator arises as the descendant of the ordinary wave operator on …
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2D Chiral Algebras from Koszul Duality & Associativity
… must admit a local gauge-anomaly-free lift to twistor space. We will also use Koszul duality in a different context, the AdS/CFT correspondence, to determine the planar chiral algebra for a certain supersymmetric CFT. This provides a new and analytic method to completely determine the 2 and …
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Celestial Chiral Algebras and Self-Dual Gravity
… algebras of tree-level amplitudes in flat space closely related to $w_{1+\infty}$. This thesis studies these celestial chiral algebras in the light of twistor theory and derives tree-level deformations thereof induced by non-trivial background geometries that solve some form of the …
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Newtonian Twistor Theory
In twistor theory the nonlinear graviton construction realises four-dimensional antiself- dual Einstein manifolds as Kodaira moduli spaces of rational curves in threedimensional complex manifolds. We establish a Newtonian analogue of this procedure, in which four-dimensional Newton-Cartan manifolds …
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The projective to Einstein correspondence and a kink on a wormhole
… with $\phi^4$ field theory on a wormhole spacetime in 3 + 1 dimensions. This spacetime has two asymptotically flat ends connected by a spherical throat of radius $a$. We show that the theory possesses a kink solution which is linearly stable, and compare its discrete spectrum to that of …
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Études in Ambitwistor Strings - Exploring new models, higher loops and curved backgrounds
… scattering equations, CHY formalism and the ambitwistor string. We discuss one of the striking simplifications that occur upon restricting to four spacetime dimensions, namely that the scattering equations with $n$ particles decompose into sectors, graded by an integer $1 \leq d \leq n-3$. It is …
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Geometry of SU(3) Manifolds
… local Calabi-Yau structures. However, the moduli space of the compact special Lagrangian submanifolds is not so well-behaved in an admissible $SU(3)$-manifold as in the Calabi-Yau case. For this reason, I narrow attention to {\it nearly Calabi-Yau} manifolds, for which the special Lagrangian …
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AdS3 Holography from the Worldsheet
… that string theory on Anti-de Sitter (AdS) space is equivalent to a conformal field theory (CFT) on the boundary of AdS. Tractable examples in which both sides of the duality can be studied simultaneously are rare, but $AdS_3$ spacetimes have provided a fruitful setting for progress. In this …
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Stability, Range and Statistical Aspects of non-Abelian X-ray tomography
… the C4-topology and H ̃^{−1/2} is a Sobolev type space, defined in terms of Zernike polynomials. The estimate is based on a related isomorphism property, established by Monard–Nickl–Paternain (2021b). We then go on to show that with high probability, and restricted to suitable D-dimensional …
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SPECIAL RIEMANNIAN STRUCTURES ON FOUR-MANIFOLDS: FROM TWISTOR SPACES TO UNOBSTRUCTED CONDITIONS
… first part of the work, we introduce Riemannian twistor spaces, which are 6-dimensional manifolds which can be associated to any Riemannian four-manifold: these spaces can be endowed with two natural almost Hermitian structures, which are strictly linked to the geometry of the underlying …