scholarly journals Non-relativistic limits and three-dimensional coadjoint Poincaré gravity

2020 ◽  
Vol 476 (2240) ◽  
pp. 20200106
Author(s):  
Eric Bergshoeff ◽  
Joaquim Gomis ◽  
Patricio Salgado-Rebolledo
Keyword(s):  
Three Dimensional ◽  
De Sitter ◽  
Poincaré Algebra ◽  
The Way

We show that a recently proposed action for three-dimensional non-relativistic gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the coadjoint Poincaré algebra. We point out the similarity of our construction with the way that three-dimensional Galilei gravity and extended Bargmann gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the Poincaré algebra. We extend our results to the anti-de Sitter case and we will see that there is a chiral decomposition at both the relativistic and non-relativistic level. We comment on possible further generalizations.

scholarly journals Colourful Poincaré symmetry, gravity and particle actions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Joaquim Gomis ◽  
Euihun Joung ◽  
Axel Kleinschmidt ◽  
Karapet Mkrtchyan
Keyword(s):  
Field Theory ◽  
Free Particle ◽  
Three Dimensional ◽  
Background Field ◽  
Quantum Field ◽  
Symmetry Factor ◽  
Starting Point ◽  
Poincaré Algebra ◽  
Poincaré Symmetry ◽  
Three Space

Abstract We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincaré symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.

Remarks on marine and continental biogeography: an areographical viewpoint

1994 ◽  
Vol 343 (1303) ◽  
pp. 71-78 ◽  
Keyword(s):  
Species Richness ◽  
Baltic Sea ◽  
Three Dimensional ◽  
Wide Spread ◽  
The Baltic Sea ◽  
Biogeographical Regions ◽  
The Baltic ◽  
The Way

Differences and similarities in the way marine and continental organisms occupy space are briefly reviewed. Among them, the ‘peninsula effect’ (the decline of species richness with distance from the source) is compared with the ‘bay effect’. Two cases, corals in Mochima Bay, Venezuela and fishes in the Baltic Sea, are presented as examples. The facts that the world’s oceans are larger, continuous and three-dimensional, with fewer evident geographical barriers than there are on land, explain why marine biogeographical regions are less welldefined and geographical ranges of marine taxa more wide-spread. I his generalization has, however, been questioned following recent findings of extremely rich and highly endemic benthic faunas. This problem is discussed using an index of cosmopolitanism to compare terrestrial and marine biotas.

Navigating in a volumetric world: Metric encoding in the vertical axis of space

2013 ◽  
Vol 36 (5) ◽  
pp. 546-547 ◽  
Author(s):  
Theresa Burt de Perera ◽  
Robert Holbrook ◽  
Victoria Davis ◽  
Alex Kacelnik ◽  
Tim Guilford
Keyword(s):  
Spatial Information ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Vertical Component ◽  
Vertical Axis ◽  
Orthogonal Axis ◽  
Experimental Protocols ◽  
Three Dimensional Space ◽  
The Way

AbstractAnimals navigate through three-dimensional environments, but we argue that the way they encode three-dimensional spatial information is shaped by how they use the vertical component of space. We agree with Jeffery et al. that the representation of three-dimensional space in vertebrates is probably bicoded (with separation of the plane of locomotion and its orthogonal axis), but we believe that their suggestion that the vertical axis is stored “contextually” (that is, not containing distance or direction metrics usable for novel computations) is unlikely, and as yet unsupported. We describe potential experimental protocols that could clarify these differences in opinion empirically.

scholarly journals Spherical and planar three-dimensional anti-de Sitter black holes

2004 ◽  
Vol 21 (4) ◽  
pp. 875-897 ◽  
Author(s):  
Vilson T Zanchin ◽  
Alex S Miranda
Keyword(s):  
Black Holes ◽  
Three Dimensional ◽  
De Sitter

scholarly journals Anti–de Sitter–CFT correspondence in three-dimensional supergravity

1998 ◽  
Vol 58 (8) ◽  
Author(s):  
Máximo Bañados ◽  
Karin Bautier ◽  
Olivier Coussaert ◽  
Marc Henneaux ◽  
Miguel Ortiz
Keyword(s):  
Three Dimensional ◽  
De Sitter

scholarly journals AdS3 GRAVITATIONAL INSTANTONS FROM CONFORMAL FIELD THEORY

1999 ◽  
Vol 14 (28) ◽  
pp. 1961-1981 ◽  
Author(s):  
SHUHEI MANO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bound States ◽  
Three Dimensional ◽  
Partition Functions ◽  
De Sitter ◽  
Btz Black Hole ◽  
Gravitational Instantons ◽  
Conformal Field ◽  
Horizon Geometry

A conformal field theory on the boundary of three-dimensional asymptotic anti-de Sitter spaces which appear as near horizon geometry of D-brane bound states is discussed. It is shown that partition functions of gravitational instantons appear as high and low temperature limits of the partition function of the conformal field theory. The result reproduces phase transition between the anti-de Sitter space and the BTZ black hole in the bulk gravity.

scholarly journals Non-Commutative Integration of the Dirac Equation in Homogeneous Spaces

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1867
Author(s):  
Alexander Breev ◽  
Alexander Shapovalov
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
Homogeneous Space ◽  
Integration Method ◽  
Homogeneous Spaces ◽  
Separation Of Variables ◽  
General Structure ◽  
Three Dimensional ◽  
De Sitter ◽  
Elementary Functions

We develop a non-commutative integration method for the Dirac equation in homogeneous spaces. The Dirac equation with an invariant metric is shown to be equivalent to a system of equations on a Lie group of transformations of a homogeneous space. This allows us to effectively apply the non-commutative integration method of linear partial differential equations on Lie groups. This method differs from the well-known method of separation of variables and to some extent can often supplement it. The general structure of the method developed is illustrated with an example of a homogeneous space which does not admit separation of variables in the Dirac equation. However, the basis of exact solutions to the Dirac equation is constructed explicitly by the non-commutative integration method. In addition, we construct a complete set of new exact solutions to the Dirac equation in the three-dimensional de Sitter space-time AdS3 using the method developed. The solutions obtained are found in terms of elementary functions, which is characteristic of the non-commutative integration method.

Selecting Suitable Probes Distances for Sizing Deep Surface Cracks Using the DCPD Technique

2006 ◽  
Vol 129 (1) ◽  
pp. 205-210 ◽  
Author(s):  
Fumio Takeo ◽  
Masumi Saka ◽  
S. Reaz Ahmed ◽  
Seiichi Hamada ◽  
Manabu Hayakawa
Keyword(s):  
Three Dimensional ◽  
Potential Drop ◽  
Surface Cracks ◽  
Deep Surface ◽  
Input And Output ◽  
Wide Range ◽  
Current Input ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
The Way

In this study, the way to enhance the sensitivity of evaluating deep surface cracks by DCPD technique using four probes is considered. The potential drops across two-dimensional cracks having different depths are analyzed by the three-dimensional finite-element method. The effect of the distance between current input and output probes and the distance between measuring probes on the change in potential drops are analyzed for a wide range of crack depths. By extending the distance between current input and output probes, the change in potential drop with the change in the depth of deeper crack becomes large. But the voltage of potential drop becomes small to measure. Finally, the way to select the appropriate distances between the probes for the measuring sensor is shown from the viewpoints of sensitivity and the required current.

scholarly journals Digital Sensoriality: The Neolithic Figurines from Koutroulou Magoula, Greece

2019 ◽  
Vol 29 (4) ◽  
pp. 625-652 ◽  
Author(s):  
Costas Papadopoulos ◽  
Yannis Hamilakis ◽  
Nina Kyparissi-Apostolika ◽  
Marta Díaz-Guardamino
Keyword(s):  
Computational Methods ◽  
Three Dimensional ◽  
The Public ◽  
The Past ◽  
Artistic Representations ◽  
Dynamic Objects ◽  
Physical Objects ◽  
Intellectual Climate ◽  
The Way

The image-based discourse on clay figurines that treated them as merely artistic representations, the meaning of which needs to be deciphered through various iconological methods, has been severely critiqued and challenged in the past decade. This discourse, however, has largely shaped the way that figurines are depicted in archaeological iterations and publications, and it is this corpus of images that has in turn shaped further thinking and discussion on figurines, especially since very few people are able to handle the original, three-dimensional, physical objects. Building on the changing intellectual climate in figurine studies, we propose here a framework that treats figurines as multi-sensorial, affective and dynamic objects, acting within distinctive, relational fields of sensoriality. Furthermore, we situate a range of digital, computational methods within this framework in an attempt to deprive them of their latent Cartesianism and mentalism, and we demonstrate how we have applied them to the study of Neolithic figurines from the site of Koutroulou Magoula in Greece. We argue that such methodologies, situated within an experiential framework, not only provide new means of understanding, interpretation and dissemination, but, most importantly, enable researchers and the public to explore the sensorial affordances and affective potential of things, in the past as well as in the present.

Sign in / Sign up

Export Citation Format

Share Document