Supersymmetric Toda Field Theories

Abstract

We present new supersymmetric extensions of Conformal Toda and $A_N^{(1)}$ Affine Toda field theories. These new theories are constructed using methods similar to those that have been developed to find supersymmetric extensions of two-dimensional bosonic sigma models with a scalar potential. In particular, we show that the Conformal Toda field theory admits a (1,1)-supersymmetric extension, and the $A_N^{(1)}$ Affine Toda field admits a (1,0)-supersymmetric extension.

13 pages

References in corpus (5)

• Quantum Solitons in Affine Toda Field Theories
• Solitons in supersymmetric sigma-models with torsion
• Massive sigma models with (p,q) supersymmetry
• Quantum Conserved Currents in Supersymmetric Toda Theories
• Massive (p,q)-supersymmetric sigma models revisited

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• Construction of supercharges for the one-dimensional supersymmetric nonlinear sigma model