Twistor Sigma Models

Author : Atul Sharma
Publisher : Unknown
Page : 0 pages
File Size : 55,7 Mb
Release : 2022
Category : Electronic
ISBN : OCLC:1355050921

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Twistor Sigma Models by Atul Sharma Pdf

Author : Paul Gauduchon
Publisher : World Scientific
Page : 390 pages
File Size : 43,9 Mb
Release : 1988-10-01
Category : Mathematics
ISBN : 9789813201484

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Harmonic Mappings, Twistors And Sigma Models by Paul Gauduchon Pdf

Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models. These Proceedings develop both aspects of the theory, with a special attention to the constructive methods, in particular the so-called twistorial approach. It includes expository articles on the twistorial methods, the various appearence of σ-models in Physics, the powerful analytic theory of regularity of SCHOEN-UHLENBECK.

Author : Maciej Dunajski
Publisher : Oxford University Press
Page : 416 pages
File Size : 43,5 Mb
Release : 2024-05-07
Category : Mathematics
ISBN : 9780198872559

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Solitons, Instantons, and Twistors by Maciej Dunajski Pdf

Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well-behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations. The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.

Author : Giampiero Esposito
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 47,5 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306471186

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Complex General Relativity by Giampiero Esposito Pdf

This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 – – space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language.

Author : T. N. Bailey,R. J. Baston
Publisher : Cambridge University Press
Page : 395 pages
File Size : 49,8 Mb
Release : 1990-08-23
Category : Mathematics
ISBN : 9780521397834

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Twistors in Mathematics and Physics by T. N. Bailey,R. J. Baston Pdf

This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.

Author : Anonim
Publisher : Unknown
Page : 756 pages
File Size : 50,6 Mb
Release : 2001
Category : Nuclear physics
ISBN : UCAL:B4488448

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Physics Letters by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 606 pages
File Size : 53,9 Mb
Release : 1994
Category : Particles (Nuclear physics)
ISBN : PSU:000052636073

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High Energy Physics Index by Anonim Pdf

Author : Jochen Brüning,Matthias Staudacher
Publisher : Walter de Gruyter GmbH & Co KG
Page : 517 pages
File Size : 40,9 Mb
Release : 2018-04-09
Category : Mathematics
ISBN : 9783110451535

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Space – Time – Matter by Jochen Brüning,Matthias Staudacher Pdf

This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity

Author : Idrisse Khemar
Publisher : American Mathematical Soc.
Page : 217 pages
File Size : 50,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869253

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Elliptic Integrable Systems by Idrisse Khemar Pdf

In this paper, the author studies all the elliptic integrable systems, in the sense of C, that is to say, the family of all the $m$-th elliptic integrable systems associated to a $k^\prime$-symmetric space $N=G/G_0$. The author describes the geometry behind this family of integrable systems for which we know how to construct (at least locally) all the solutions. The introduction gives an overview of all the main results, as well as some related subjects and works, and some additional motivations.

Author : Jerzy Lukierski,Dmitri Sorokin
Publisher : American Institute of Physics
Page : 356 pages
File Size : 50,5 Mb
Release : 2005-06-16
Category : Science
ISBN : UOM:39015060992602

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Fundamental Interactions and Twistor-like Methods by Jerzy Lukierski,Dmitri Sorokin Pdf

All papers were peer reviewed. The volume contains reports on work done in areas of field theory, supersymmetry, string theory, higher spins, and related topics using group-theoretical and geometrical methods which involve, one way or another, twistor-like techniques (singletons, harmonics, superembeddings, and twistors themselves).

Author : W. J. Zakrzewski
Publisher : CRC Press
Page : 312 pages
File Size : 55,8 Mb
Release : 1989-06
Category : Chirality
ISBN : UCAL:B4348221

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Low-dimensional Sigma Models, by W. J. Zakrzewski Pdf

This book gathers together established ideas and applications of sigma models and presents them together with modern applications to provide a unified and complete view of simple sigma models and the role they play in model building in field theoretical methods in elementary particle physics. The book is written for both mathematicians and physicists and is aimed at graduate students and researchers in theoretical particle physics who are interested in sigma models and those working in the general area of harmonic maps in pure mathematics.

Author : Matti Pitkanen
Publisher : Bentham Science Publishers
Page : 1235 pages
File Size : 41,6 Mb
Release : 2016-03-03
Category : Science
ISBN : 9781681081793

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Topological Geometrodynamics by Matti Pitkanen Pdf

Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.

Author : Stefano Marchiafava,Paolo Piccinni,Massimiliano Pontecorvo
Publisher : World Scientific
Page : 486 pages
File Size : 55,8 Mb
Release : 2001
Category : Mathematics
ISBN : 9789812810038

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Quaternionic Structures in Mathematics and Physics by Stefano Marchiafava,Paolo Piccinni,Massimiliano Pontecorvo Pdf

During the last five years, after the first meeting on OC Quaternionic Structures in Mathematics and PhysicsOCO, interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of manifolds with quaternionic structures (quaternionic Knhler, hyper-Knhler, hyper-complex, etc.), studying the differential geometry of special classes of such manifolds and their submanifolds, understanding relations between the quaternionic structure and other differential-geometric structures, and also in physical applications of quaternionic geometry. Some generalizations of classical quaternion-like structures (like HKT structures and hyper-Knhler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book. Contents: Hypercomplex Structures on Special Classes of Nilpotent and Solvable Lie Groups (M L Barberis); Twistor Quotients of HyperKnhler Manifolds (R Bielawski); Quaternionic Contact Structures (O Biquard); A New Construction of Homogeneous Quaternionic Manifolds and Related Geometric Structures (V Cortes); Quaternion Knhler Flat Manifolds (I G Dotti); A Canonical HyperKnhler Metric on the Total Space of a Cotangent Bundle (D Kaledin); Special Spinors and Contact Geometry (A Moroianu); Brane Solitons and Hypercomplex Structures (G Papadopoulos); Hypercomplex Geometry (H Pedersen); Examples of HyperKnhler Connections with Torsion (Y S Poon); A New Weight System on Chord Diagrams via HyperKnhler Geometry (J Sawon); Vanishing Theorems for Quaternionic Knhler Manifolds (U Semmelmann & G Weingart); Weakening Holonomy (A Swann); Special Knhler Geometry (A Van Proeyen); Singularities in HyperKnhler Geometry (M Verbitsky); and other papers. Readership: Researchers and graduate students in geometry, topology, mathematical physics and theoretical physics."

Author : Anonim
Publisher : Unknown
Page : 1022 pages
File Size : 50,5 Mb
Release : 1988
Category : Nuclear energy
ISBN : MINN:31951D007675257

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INIS Atomindex by Anonim Pdf

Author : Tohru Eguchi,Michio Jimbo,Akihiro Tsuchiya
Publisher : World Scientific
Page : 1104 pages
File Size : 46,9 Mb
Release : 1992-06-25
Category : Electronic
ISBN : 9789814554909

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Infinite Analysis: Rims Project 1991 (In 2 Volumes) by Tohru Eguchi,Michio Jimbo,Akihiro Tsuchiya Pdf

This is a collection of original research papers presented at the workshop. The main topics covered are Conformal Field Theory, Integrable Massive Field Theory, Quantum Gravity, Quantum Group, Lattice Solvable Models, Low Dimensional Topology, and C* Algebras.