14,941 research outputs found
Mass Deformations of Super Yang-Mills Theories in D= 2+1, and Super-Membranes: A Note
Mass deformations of supersymmetric Yang-Mills theories in three spacetime
dimensions are considered. The gluons of the theories are made massive by the
inclusion of a non-local gauge and Poincare invariant mass term due to
Alexanian and Nair, while the matter fields are given standard Gaussian
mass-terms. It is shown that the dimensional reduction of such mass deformed
gauge theories defined on or produces matrix quantum
mechanics with massive spectra. In particular, all known massive matrix quantum
mechanical models obtained by the deformations of dimensional reductions of
minimal super Yang-Mills theories in diverse dimensions are shown also to arise
from the dimensional reductions of appropriate massive Yang-Mills theories in
three spacetime dimensions. Explicit formulae for the gauge theory actions are
provided.Comment: 20 Page
Hidden Yangian symmetry in sigma model on squashed sphere
We discuss a hidden symmetry of a two-dimensional sigma model on a squashed
S^3. The SU(2) current can be improved so that it can be regarded as a flat
connection. Then we can obtain an infinite number of conserved non-local
charges and show the Yangian algebra by directly checking the Serre relation.
This symmetry is also deduced from the coset structure of the squashed sphere.
The same argument is applicable to the warped AdS_3 spaces via double Wick
rotations.Comment: 11 pages, 1 figure, typos corrected, references adde
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