A Particle Field Theorist's Lectures on Supersymmetric, Non-Abelian Fluid Mechanics and d-Branes

Abstract

This monograph is derived from a series of six lectures I gave at the Centre de Recherches Mathematiques in Montreal, in March and June 2000, while titulary of the Aisenstadt Chair.

arXiv comment70 pages, 3 figures, using LaTeX, amsmath, BoxedEPS macros; email correspondence to [email protected]

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• Future Universe With w < -1 Without Big Smash
• Ruling out the Modified Chaplygin Gas Cosmologies
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• Quantum FRW cosmological solutions in the presence of Chaplygin gas and perfect fluid
• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• Gravitationally Collapsing Shells in (2+1) Dimensions
• The Maximal Invariance Group of Newtons's Equations for a Free Point Particle
• Measuring the Chaplygin gas equation of state from angular and luminosity distances
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Supersymmetric Polytropic Gas Dynamics
• Genesis of Dark Energy: Dark Energy as Consequence of Release and Two-stage Tracking Cosmological Nuclear Energy
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• Dark Energy: A Unifying View
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• On the dual equivalence of the Born-Infeld-Chern-Simons model coupled to dynamical U(1) charged matter
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• Fitting the Supernova Type Ia Data with the Chaplygin Gas
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• Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations
• Noncommutative fluid dynamics in the Snyder space-time
• Obtaining gauge invariant actions via symplectic embedding formalism
• Generalized models of unification of dark matter and dark energy
• Quantum Scalar-metric Cosmology with Chaplygin gas
• Noncommutative fluid dynamics in the Kähler parametrization
• Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions
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• Conformal Fluid Dynamics
• Bianchi Type I Anisotropic Universe without Big Smash Driven by Law of Variation of Hubble's Parameter
• Quantization of the Relativistic Fluid in Physical Phase Space on Kähler Manifolds
• Unified dark matter: constraints from galaxies and clusters
• Physical Degrees of Freedom of the Relativistic Fluid on Kähler Manifolds in the Symplectic Projector Approach
• Plane waves in noncommutative fluids
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• Quantum fluids in the Kaehler parametrization
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• N=2 supersymmetric extension of a hydrodynamic system in Riemann invariants
• Descendants of the Chiral Anomaly
• Fermionic extension of the scalar Born-Infeld equation and its relation to the supersymmetric Chaplygin gas
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• Rip Singularity Scenario and Bouncing Universe in a Chaplygin Gas Dark Energy Model
• Dynamical friction shear and rotation in Chaplygin cosmology
• Invariant solutions of the supersymmetric version of a two-phase fluid flow system
• Chaplygin gas with non-adiabatic perturbations
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• Emptiness Instanton in Quantum Polytropic Gas
• Dark Energy, Hyperbolic Cosecant Cardassian and Virial Collapse for Power-style Cardassian