BRST quantization of Matrix Chern-Simons Theory
@article{Livine2002BRSTQO,
title={BRST quantization of Matrix Chern-Simons Theory},
author={Etera R. Livine and Lee Smolin},
journal={arXiv: High Energy Physics - Theory},
year={2002}
}The BRST quantization of matrix Chern-Simons theory is carried out, the symmetries of the theory are analyzed and used to constrain the form of the effective action.
11 Citations
Matrix universality of gauge field and gravitational dynamics
- Physics
- 2008
A simple cubic matrix model is presented, which has truncations that, it is argued, lead at the classical level to a variety of theories of gauge fields and gravity. These include Chern-Simons theory…
Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
- Mathematics
- 2006
In this thesis, we report on results in non-anticommutative field theory and twistor string theory, trying to be self-contained. We first review the construction of non-anticommutative N=4 super…
Noncritical M-theory: Three Dimensions
- Physics
- 2004
At the macrosopic level we study candidate 3D effective field theories associated to M theory in three dimensions. These represent analogs of 11D supergravity for eleven dimensional M-theory. At the…
Quantum reference frames and triality
- Physics
- 2020
In a background independent theory without boundary, physical observables may be defined with respect to dynamical reference systems. However, I argue here that there may be a symmetry that exchanges…
Extending Dualities to Trialities Deepens the Foundations of Dynamics
- Mathematics
- 2015
Dualities are often supposed to be foundational, but they may come into conflict with a strong form of background independence, which is the principle that the dynamical equations of a theory not…
Views, variety and celestial spheres
- Philosophy
- 2022
This paper describes a continuation of the program of causal views, in which the world consists of nothing but a vast number of partial views of its past. Each view is associated to an event, and is…
The Autodidactic Universe
- Computer ScienceArXiv
- 2021
An approach to cosmology in which the Universe learns its own physical laws by exploring a landscape of possible laws by discovering maps that put each of these matrix models in correspondence with both a gauge/gravity theory and a mathematical model of a learning machine, such as a deep recurrent, cyclic neural network.
The singular universe and the reality of time : a proposal in natural philosophy
- Philosophy
- 2014
Introduction Part I. Roberto Mangabeira Unger: 1. The science of the one universe in time 2. The context and consequences of the argument 3. The singular existence of the universe 4. The inclusive…
Extending Dualities to Trialities Deepens the Foundations of Dynamics
- MathematicsInternational Journal of Theoretical Physics
- 2016
Dualities are often supposed to be foundational, but they may come into conflict with a strong form of background independence, which is the principle that the dynamical equations of a theory not…
References
SHOWING 1-10 OF 22 REFERENCES
Vector supersymmetry and finite quantum correction of Chern-Simons theory in the light-cone gauge
- Physics
- 2001
Investigation of Matrix Theory via Super Lie Algebra
- Engineering
- 2001
This paper reports the investigation of a matrix model via super Lie algebra, following the proposal of L. Smolin. We consider the osp(1|32,R) nongauged matrix model and gl(1|32,R) gauged matrix…
The Spectrum of Topologically Massive Quantum Electrodynamics
- Physics
- 1993
We discuss the possibility for the spectrum of topologically massive quantum electrodynamics with spinor matter fields to contain unexpected and unusual stable particle excitations for certain values…
The cubic matrix model and a duality between strings and loops
- Physics, Mathematics
- 2000
We find evidence for a duality between the standard matrix formulations of M theory and a background independent theory which extends loop quantum gravity by replacing SU(2) with a supersymmetric and…
Lectures on D-branes, Gauge Theory and M(atrices)
- Physics
- 1997
These notes give a pedagogical introduction to D-branes and Matrix theory. The development of the material is based on super Yang-Mills theory, which is the low-energy field theory describing…