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Yangian Superalgebras in Conformal Field Theory
Yangian Superalgebras Conformal Field Theory
2010/12/24
Quantum Yangian symmetry in several sigma models with supergroup or supercoset as target is established. Starting with a two-dimensional conformal field theory that has current symmetry of a Lie supe...
Geometric quantization and the metric dependence of the self-dual field theory
Geometric quantization self-dual field theory
2010/12/24
We investigate the metric dependence of the partition function of the self-dual p-form gauge field on an arbitrary Riemannian manifold. Using geometric quantization of the space of middle-dimensional...
Symmetric Criticality in Classical Field Theory
Symmetric Criticality Classical Field Theory
2010/12/27
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symmet...
We discuss aspects of global and gauged symmetries in quantum field theory and quantum gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of $\Z_p$ gauge theories sho...
We derive a holographic dual description of free quantum field theory in arbitrary dimensions, by reinterpreting the exact renormalization group, to obtain a higher spin gravity theory of the general ...
The Hamiltonian constraint in Polymer Parametrized Field Theory
The Hamiltonian constraint Polymer Parametrized Field Theory
2010/12/27
Recently, a generally covariant reformulation of 2 dimensional flat spacetime free scalar field theory known as Parameterised Field Theory was quantized using Loop Quantum Gravity (LQG) type `polymer...
In this paper, the analog of Maxwell electromagnetism for hydrodynamic turbulence, the metafluid dynamics, is extended in order to reformulate the metafluid dynamics as a gauge field theory. That anal...