TT¯$$ T\overline{T} $$-deformed actions and (1,1) supersymmetry

COLEMAN, EVAN A.; AGUILERA DAMIA, JEREMIAS; FREEDMAN, DANIEL Z.; SONI, RONAK M.

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer

Año: 2019 vol. 2019

1029-8479

We describe an algorithmic method to calculate the TT¯¯¯¯ deformed Lagrangian of a given seed theory by solving an algebraic system of equations. This method is derived from the topological gravity formulation of the deformation. This algorithm is far simpler than the direct partial differential equations needed in most earlier proposals. We present several examples, including the deformed Lagrangian of (1,1) supersymmetry. We show that this Lagrangian is off-shell invariant through order λ2 in the deformation parameter and verify its SUSY algebra through order λ.