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$T \bar{T}$-Deformed Actions and (1,1) Supersymmetry

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arxiv 1906.05439 v1 pith:TU6L47FB submitted 2019-06-13 hep-th

classification hep-th
keywords deformedlagrangiandeformationequationslambdamethodordersupersymmetry
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abstract

We describe an algorithmic method to calculate the $T\bar{T}$ 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 $\lambda^2$ in the deformation parameter and verify its SUSY algebra through order $\lambda$.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higher-Spin Currents and Flows in Auxiliary Field Sigma Models

    hep-th 2025-04 accept novelty 7.0 of 10

    Auxiliary field sigma models admit local higher-spin conserved currents, and the corresponding Smirnov-Zamolodchikov flows can be solved recursively by reducing the problem to a free boson.

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