skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Single twistor description of massless, massive, AdS, and other interacting particles

Abstract

The Penrose transform between twistors and the phase space of massless particles is generalized from the massless case to an assortment of other particle dynamical systems, including special examples of massless or massive particles, relativistic or nonrelativistic, interacting or noninteracting, in flat space or curved spaces. Our unified construction involves always the same twistor Z{sup A} with only four complex degrees of freedom and subject to the same helicity constraint. Only the twistor to phase space transform differs from one case to another. Hence, a unification of diverse particle dynamical systems is displayed by the fact that they all share the same twistor description. Our single twistor approach seems to be rather different and a strikingly economical construction of twistors compared to other past approaches that introduced multiple twistors to represent some similar but far more limited set of particle phase space systems.

Authors:
 [1];  [1];  [2]
  1. Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484 (United States)
  2. (CSIC-UVEG), 46100-Burjassot (Valencia) (Spain)
Publication Date:
OSTI Identifier:
20782636
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.73.064002; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DEGREES OF FREEDOM; HELICITY; MASSLESS PARTICLES; PHASE SPACE; RELATIVISTIC RANGE; STRING MODELS; TOPOLOGY

Citation Formats

Bars, Itzhak, Picon, Moises, and Departamento de Fisica Teorica, Universita de Valencia and IFIC. Single twistor description of massless, massive, AdS, and other interacting particles. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.064002.
Bars, Itzhak, Picon, Moises, & Departamento de Fisica Teorica, Universita de Valencia and IFIC. Single twistor description of massless, massive, AdS, and other interacting particles. United States. doi:10.1103/PHYSREVD.73.064002.
Bars, Itzhak, Picon, Moises, and Departamento de Fisica Teorica, Universita de Valencia and IFIC. Wed . "Single twistor description of massless, massive, AdS, and other interacting particles". United States. doi:10.1103/PHYSREVD.73.064002.
@article{osti_20782636,
title = {Single twistor description of massless, massive, AdS, and other interacting particles},
author = {Bars, Itzhak and Picon, Moises and Departamento de Fisica Teorica, Universita de Valencia and IFIC},
abstractNote = {The Penrose transform between twistors and the phase space of massless particles is generalized from the massless case to an assortment of other particle dynamical systems, including special examples of massless or massive particles, relativistic or nonrelativistic, interacting or noninteracting, in flat space or curved spaces. Our unified construction involves always the same twistor Z{sup A} with only four complex degrees of freedom and subject to the same helicity constraint. Only the twistor to phase space transform differs from one case to another. Hence, a unification of diverse particle dynamical systems is displayed by the fact that they all share the same twistor description. Our single twistor approach seems to be rather different and a strikingly economical construction of twistors compared to other past approaches that introduced multiple twistors to represent some similar but far more limited set of particle phase space systems.},
doi = {10.1103/PHYSREVD.73.064002},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
  • A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor Z{sub A}=({mu}{sup {alpha}}; {lambda}{sub {alpha}};), thus predicting an infinite set of duality relations among spinning systems with different Hamiltonians. Usual 1T-physics is not equipped to explain the duality relationships and unification between these systems. We use 2T-physics in 4+2 dimensions to uncover new properties of twistors, and expect that our approach will prove to be useful for practical applications as well as for a deeper understanding of fundamental physics. Unexpected structures for amore » new description of spinning particles emerge. A unifying symmetry SU(2, 3) that includes conformal symmetry SU(2,2)=SO(4,2) in the massless case turns out to be a fundamental property underlying the dualities of a large set of spinning systems, including those that occur in high spin theories. This may lead to new forms of string theory backgrounds as well as to new methods for studying various corners of M theory. In this paper we present the main concepts, and in a companion paper we give other details.« less
  • No abstract prepared.
  • We propose various ways of adding mass terms to three-dimensional twistor string theory. We begin with a review of mini-twistor space--the reduction of D=4 twistor space to D=3. We adapt the two proposals for twistor string theory, Witten's and Berkovits's, to D=3 super Yang-Mills theory. In Berkovits's model, we identify the enhanced R symmetry. We then construct B-model topological string theories that, we propose, correspond to D=3 Yang-Mills theory with massive spinors and massive and massless scalars in the adjoint representation of the gauge group. We also analyze the counterparts of these constructions in Berkovits's model. Some of our constructionsmore » can be lifted to D=4, where infinitesimal mass terms correspond to vacuum expectation values of certain superconformal gravity fields.« less
  • Here, we present a new class of N = 4 supersymmetric quiver matrix models and argue that it describes the stringy low-energy dynamics of internally wrapped D-branes in four-dimensional anti-de Sitter (AdS) flux compactifications. The Lagrangians of these models differ from previously studied quiver matrix models by the presence of mass terms, associated with the AdS gravitational potential, as well as additional terms dictated by supersymmetry. These give rise to dynamical phenomena typically associated with the presence of fluxes, such as fuzzy membranes, internal cyclotron motion and the appearance of confining strings. We also show how these models can bemore » obtained by dimensional reduction of four-dimensional supersymmetric quiver gauge theories on a three-sphere.« less