Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations

Abstract We propose a manifestly supersymmetric generalization of the solvable T T ¯ $$ T\overline{T} $$ 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...

Full description

Bibliographic Details
Main Authors: Chih-Kai Chang, Christian Ferko, Savdeep Sethi
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2019)131
Description
Summary:Abstract We propose a manifestly supersymmetric generalization of the solvable T T ¯ $$ T\overline{T} $$ 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 T T ¯ $$ T\overline{T} $$ , producing supersymmetric Dirac or Dirac-Born-Infeld actions in special cases.
ISSN:1029-8479