Results 21 to 30 of about 69,077 (284)
Gaudin models and multipoint conformal blocks III: comb channel coordinates and OPE factorisation
Journal of High Energy Physics, 2022 We continue the exploration of multipoint scalar comb channel blocks for conformal field theories in 3D and 4D. The central goal here is to construct novel comb channel cross ratios that are well adapted to perform projections onto all intermediate ...
Ilija Burić +4 more
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Nonlocality, no-signalling, and Bellʼs theorem investigated by Weyl conformal differential geometry [PDF]
Physica Scripta, 2014 The principles and methods of the Conformal Quantum Geometrodynamics (CQG) based on the Weyl's differential geometry are presented. The theory applied to the case of the relativistic single quantum spin 1/2 leads a novel and unconventional derivation of Dirac's equation.
Francesco De Martini, SANTAMATO, ENRICO
openaire +3 more sources
Dessins d’enfants, Seiberg-Witten curves and conformal blocks
Journal of High Energy Physics, 2021 We show how to map Grothendieck’s dessins d’enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d N $$ \mathcal{N} $$ = 2 supersymmetric instanton partition functions and 2d Virasoro ...
Jiakang Bao +6 more
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Integrable Background Geometries [PDF]
, 2014 This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric structure, governed
Calderbank, David M. J.
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Conformal field theory complexity from Euler-Arnold equations
Journal of High Energy Physics, 2020 Defining complexity in quantum field theory is a difficult task, and the main challenge concerns going beyond free models and associated Gaussian states and operations.
Mario Flory, Michal P. Heller
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Galaxies, 2020 Higher dimensional theories, wherein our four dimensional universe is immersed into a bulk ambient, have received much attention recently, and the directions of investigation had, as far as we can discern, all followed the ordinary Euclidean hypersurface
Fan Zhang
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Massless fields in plane wave geometry
, 1997 Conformal isometry algebras of plane wave geometry are studied. Then, based on the requirement of conformal invariance, a definition of masslessness is introduced and gauge invariant equations of motion, subsidiary conditions, and corresponding gauge ...
Metsaev, R. R.
core +2 more sources
Pfaffian Systems, Cartan Connections, and the Null Surface Formulation of General Relativity
UniverseThis review examines the role of differential forms, Pfaffian systems, and hypersurfaces in general relativity. These mathematical constructions provide the essential tools for general relativity, in which the curvature of spacetime—described by the ...
Emanuel Gallo, Carlos Kozameh
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Differential equations and conformal structures
, 2006 We provide five examples of conformal geometries which are naturally associated with ordinary differential equations (ODEs). The first example describes a one-to-one correspondence between the Wuenschmann class of 3rd order ODEs considered modulo contact
Cartan +22 more
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Dispersionless integrable systems in 3D and Einstein-Weyl geometry [PDF]
, 2013 For several classes of second order dispersionless PDEs, we show that the symbols of their formal linearizations define conformal structures which must be Einstein-Weyl in 3D (or self-dual in 4D) if and only if the PDE is integrable by the method of ...
Ferapontov, Eugene, Kruglikov, Boris
core +2 more sources