scholarly journals Asymptotic symmetries at null-infinity for the Rarita-Schwinger field with magnetic term

2021 ◽  
Author(s):  
Bilyana Lyudmilova Tomova
Keyword(s):  
Magnetic Charge ◽  
Flat Space ◽  
Space Time ◽  
Boundary Term ◽  
Null Infinity ◽  
Dimensional Algebra ◽  
Asymptotically Flat ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Asymptotic Symmetries

Abstract In this paper we study the magnetic charges of the free massless Rarita-Schwinger field in four dimensional asymptotically flat space-time. This is the first step towards extending the study of the dual BMS charges to supergravity. The magnetic charges appear due to the addition of a boundary term in the action. This term is similar to the theta term in Yang-Mills theory. At null-infinity an infinite dimensional algebra is discovered, both for the electric and magnetic charge.

scholarly journals MAGNETIC CHARGE, ANGULAR MOMENTUM AND NEGATIVE COSMOLOGICAL CONSTANT

2003 ◽  
Vol 18 (13) ◽  
pp. 2379-2393 ◽  
Author(s):  
J. J. VAN DER BIJ ◽  
EUGEN RADU
Keyword(s):  
Angular Momentum ◽  
Cosmological Constant ◽  
Electric Charge ◽  
Magnetic Charge ◽  
Flat Space ◽  
Space Time ◽  
Axially Symmetric ◽  
Yang Mills ◽  
Negative Cosmological Constant

We argue that there are no axially symmetric rotating monopole solutions for a Yang–Mills–Higgs theory in flat space–time background. We construct axially symmetric Yang–Mills–Higgs solutions in the presence of a negative cosmological constant, carrying magnetic charge n and a nonvanishing electric charge. However, these solution are also nonrotating.

scholarly journals A free Lie algebra approach to curvature corrections to flat space-time

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Joaquim Gomis ◽  
Axel Kleinschmidt ◽  
Diederik Roest ◽  
Patricio Salgado-Rebolledo
Keyword(s):  
Lie Algebra ◽  
Flat Space ◽  
Geodesic Equation ◽  
Space Time ◽  
Free Lie Algebra ◽  
Dimensional Algebra ◽  
Infinite Dimensional ◽  
Algebra Approach ◽  
Poincaré Algebra ◽  
Particle Action

Abstract We investigate a systematic approach to include curvature corrections to the isometry algebra of flat space-time order-by-order in the curvature scale. The Poincaré algebra is extended to a free Lie algebra, with generalised boosts and translations that no longer commute. The additional generators satisfy a level-ordering and encode the curvature corrections at that order. This eventually results in an infinite-dimensional algebra that we refer to as Poincaré∞, and we show that it contains among others an (A)dS quotient. We discuss a non-linear realisation of this infinite-dimensional algebra, and construct a particle action based on it. The latter yields a geodesic equation that includes (A)dS curvature corrections at every order.

NULL INFINITY, H-SPACE AND EQUATIONS OF MOTION

2006 ◽  
Vol 15 (12) ◽  
pp. 2317-2322
Author(s):  
CARLOS KOZAMEH ◽  
EZRA T. NEWMAN ◽  
GILBERTO SILVA-ORTIGOZA
Keyword(s):  
Equations Of Motion ◽  
Flat Space ◽  
Space Time ◽  
Physical Significance ◽  
Null Infinity ◽  
Asymptotically Flat ◽  
Analytic Curve ◽  
Special Space

We discuss the existence, arising by analogy to that in algebraically special space–times, of a unique asymptotically shear-free congruence in any asymptotically flat space–time. Associated with this, is a unique complex analytic curve in H-space. The surprising potential physical significance of this curve is discussed.

scholarly journals The Thermodynamic Relationship between the RN-AdS Black Holes and the RN Black Hole in Canonical Ensemble

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Yu-Bo Ma ◽  
Li-Chun Zhang ◽  
Jian Liu ◽  
Ren Zhao ◽  
Shuo Cao
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Flat Space ◽  
Space Time ◽  
Asymptotically Flat ◽  
Time Space ◽  
Ads Black Holes ◽  
Different Types ◽  
Thermodynamic Relationship ◽  
The Relationship

In this paper, by analyzing the thermodynamic properties of charged AdS black hole and asymptotically flat space-time charged black hole in the vicinity of the critical point, we establish the correspondence between the thermodynamic parameters of asymptotically flat space-time and nonasymptotically flat space-time, based on the equality of black hole horizon area in the two different types of space-time. The relationship between the cavity radius (which is introduced in the study of asymptotically flat space-time charged black holes) and the cosmological constant (which is introduced in the study of nonasymptotically flat space-time) is determined. The establishment of the correspondence between the thermodynamics parameters in two different types of space-time is beneficial to the mutual promotion of different time-space black hole research, which is helpful to understand the thermodynamics and quantum properties of black hole in space-time.

Asymptotic behaviour near past null infinity for scattering problems

1977 ◽  
Vol 55 (10) ◽  
pp. 855-860 ◽  
Author(s):  
Martin Walker
Keyword(s):  
Asymptotic Behaviour ◽  
Impact Parameter ◽  
Approximation Scheme ◽  
Flat Space ◽  
Difficult Problem ◽  
Space Time ◽  
The Other ◽  
Null Infinity ◽  
Scattering Problems ◽  
Gravitational Systems

The following problem is treated: two particles move toward each other from infinity with equal but opposite velocities and finite impact parameter. Each particle is deflected by the field of the other. The particles recede, finally, back out to infinity. Electromagnetic and gravitational interactions between the particles are considered. It is shown, in both cases, that the use of retarded interactions, in an approximation scheme which begins with no interaction in flat space-time, guarantees the absence of incoming radiation. This result may be of relevance to the much more difficult problem of the description of bounded, isolated, gravitational systems.

THE DEVELOPMENT OF THE GRAVITATIONAL AND YANG–MILLS FIELDS, AND THE TREATMENT OF ACCELERATED FRAMES

2005 ◽  
Vol 20 (32) ◽  
pp. 7485-7504 ◽  
Author(s):  
JONG-PING HSU ◽  
DANA FINE
Keyword(s):  
Quantum Gravity ◽  
Flat Space ◽  
Physical World ◽  
Space Time ◽  
Yang Mills ◽  
Inertial Frames ◽  
Theory Of Gravity ◽  
Mills Field ◽  
Time Transformations ◽  
Accelerated Frames

We discuss ideas and problems regarding classical and quantum gravity, gauge theory of gravity, and space–time transformations between accelerated frames. Both Einstein's theory of gravity and Yang–Mills theory are gauge invariant. The invariance principles are at the very heart of our understanding of the physical world. This paper attempts to survey the development and to reveal problems and limitations of various formulations to gravitational and Yang–Mills fields, and to space–time transformations of accelerated frames. Gravitational force and accelerated frames are two ingredients in Einstein's thought in the period around 1907. Accelerated frames are difficult to define and are not well developed. However, one cannot claim to have a complete understanding of the physical world, if one understands flat space–time physics only from the viewpoint of the special class of inertial frames and ignores the vast class of noninertial frames. The paper highlights three aspects: (1) ideas of gravity as a Yang–Mills field, first discussed by Utiyama; (2) problems of quantum gravity, discussed by Feynman, Dyson and others; (3) space–time properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and Yang–Mills' profound thoughts present a challenge to physicists and mathematicians in the 21st century.

scholarly journals Asymptotic symmetry of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theory

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Nabamita Banerjee ◽  
Tabasum Rahnuma ◽  
Ranveer Kumar Singh
Keyword(s):  
Asymptotic Symmetry ◽  
Maxwell Theory ◽  
Asymptotically Flat ◽  
Yang Mills ◽  
Alternative Approach ◽  
Pure Gravity ◽  
Asymptotic Symmetries ◽  
Symmetry Algebras

Abstract Asymptotic symmetry plays an important role in determining physical observables of a theory. Recently, in the context of four dimensional asymptotically flat pure gravity and $$ \mathcal{N} $$ N = 1 supergravity, it has been proposed that OPEs of appropriate celestial amplitudes can be used to find their asymptotic symmetries. In this paper we find the asymptotic symmetry algebras of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theories using this alternative approach, namely using the OPEs of their respective celestial amplitudes. The algebra obtained here are in agreement with the known results in the literature.

Higher spin theories in flat space–time

2018 ◽  
Vol 33 (34) ◽  
pp. 1845007
Author(s):  
Loriano Bonora
Keyword(s):  
Equations Of Motion ◽  
Flat Space ◽  
Space Time ◽  
Local Fields ◽  
Field Theories ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Higher Spin ◽  
Chern Simons

It is shown that, contrary to a widespread prejudice, massless higher spin (HS) field theories can be defined in flat space–time. Examples of Yang–Mills-like theories with infinite many local fields of any spin are constructed explicitly in any dimension, along with Chern–Simons-like models in any odd dimension. These theories are defined via actions invariant under HS gauge transformations and their equations of motion are derived. It is also briefly explained why these theories circumvent well-known no-go theorems.

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