Year: 2019
Type: article
Abstract: We investigate the “ $$ T\overline{T} $$ T T ¯ ” deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the $$ T\overline{T} $$ T T ¯ deforming operator can be constructed as a super-symmetric descendant. Here we focus on $$ \mathcal{N} = \left(1,0\right) $$ N = 1 0 and $$ \mathcal{N} = \left(1,1\right) $$ N = 1 1 supersymmetry. As an example, we analyse in detail the $$ T\overline{T} $$ T T ¯ deformation of a free $$ \mathcal{N} = \left(1,0\right) $$ N = 1 0 supersymmetric action. We also argue that the link between $$ T\overline{T} $$ T T ¯ and string theory can be extended to su-perstrings: by analysing the light-cone gauge fixing for superstrings in flat space, we show the correspondence of the string action to the $$ T\overline{T} $$ T T ¯ deformation of a free theory of eight $$ \mathcal{N} = \left(1,1\right) $$ N = 1 1 scalar multiplets on the nose. We comment on how these constructions relate to the geometrical interpretations of $$ T\overline{T} $$ T T ¯ deformations that have recently been discussed in the literature.
Source: Journal of High Energy Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: National Science Foundation, University of Bern, National Centres of Competence in Research SwissMAP, European Commission, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, University of Melbourne, University of Queensland, Fonds Wetenschappelijk Onderzoek, KU Leuven, Vlaamse regering, Australian Research Council
OpenAlex ID: W2898705268