Abstract
We propose a manifestly supersymmetric generalization of the solvable Toverline{T} deformation of two-dimensional field theories. For theories with (1, 1) and (0, 1) supersymmetry, the deformation is defined by adding a term to the superspace Lagrangian built from a superfield containing the supercurrent. We prove that the energy levels of the resulting deformed theory are determined exactly in terms of those of the undeformed theory. This supersymmetric deformation extends to higher dimensions, where we conjecture that it might provide a higher-dimensional analogue of Toverline{T} , producing supersymmetric Dirac or Dirac-Born-Infeld actions in special cases.
Highlights
We propose a manifestly supersymmetric generalization of the solvable T T deformation of two-dimensional field theories
We prove that the energy levels of the resulting deformed theory are determined exactly in terms of those of the undeformed theory
This supersymmetric deformation extends to higher dimensions, where we conjecture that it might provide a higher-dimensional analogue of T T, producing supersymmetric Dirac or Dirac-Born-Infeld actions in special cases
Summary
We propose a solvable deformation that is compatible with supersymmetry. The remarkable property of the T Tdeformation follows from continuity equations. We describe analogous relations based on the conservation laws in superspace
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