T T ¯ \[ T\overline{T} \] -deformed actions and (1,1) supersymmetry

We describe an algorithmic method to calculate the TT¯\[ T\overline{T} \] 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...

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Bibliographic Details
Published in:The journal of high energy physics 2019-10, Vol.2019 (10), p.1-16
Main Authors: Coleman, Evan A, Aguilera-Damia, Jeremias, Freedman, Daniel Z, Soni, Ronak M
Format: Article
Language:English
Subjects:
Algorithms
Deformation
High energy physics
Mathematical analysis
Partial differential equations
Supersymmetry
Online Access:Get full text
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Summary:We describe an algorithmic method to calculate the TT¯\[ T\overline{T} \] 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 λ2 in the deformation parameter and verify its SUSY algebra through order λ.
ISSN:1029-8479
DOI:10.1007/JHEP10(2019)080