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On $T\bar{T}$ deformations and supersymmetry

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arxiv 1811.00533 v3 pith:LN2MO45I submitted 2018-11-01 hep-th

Marco Baggio , Alessandro Sfondrini , Gabriele Tartaglino-Mazzucchelli , Harriet Walsh This is my paper · ORCID
classification hep-th
keywords mathcaldeformationssupersymmetricactiondeformationfreestringsuperstrings
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abstract

We investigate the "$T\bar{T}$" deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the $T\bar{T}$ deforming operator can be constructed as a supersymmetric descendant. Here we focus on $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetry. As an example, we analyse in detail the $T\bar{T}$ deformation of a free $\mathcal{N}=(1,0)$ supersymmetric action. We also argue that the link between $T\bar{T}$ and string theory can be extended to superstrings: by analysing the light-cone gauge fixing for superstrings in flat space, we show the correspondence of the string action to the $T\bar{T}$ deformation of a free theory of eight $\mathcal{N}=(1,1)$ scalar multiplets on the nose. We comment on how these constructions relate to the geometrical interpretations of $T\bar{T}$ deformations that have recently been discussed in the literature.

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Cited by 5 Pith papers

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

  1. $\boldsymbol{T\overline{T}}$ correlators from tensionless strings

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.

  2. On world-sheet S-matrix of NSR string in static gauge

    hep-th 2025-05 conditional novelty 6.0 of 10

    The NSR spinning string is shown, in static gauge, to produce the same one-loop world-sheet S-matrix as the GS superstring, via a new elimination of auxiliary supergravity fields.

  3. Integrability and Renormalization under $T \bar T$

    hep-th 2019-09 conditional novelty 6.0 of 10

    At one loop, the renormalized Lagrangian of the T Tbar-deformed massive scalar splits the two quartic couplings, making g and h unequal, in contrast to the classical Lagrangian.

  4. Entanglement entropy and $T\bar T$ deformations beyond antipodal points from holography

    hep-th 2019-08 conditional novelty 6.0 of 10

    For a holographic (A)dS spacetime with a hard radial cutoff, the entanglement entropy of any interval on the sphere equals the antipodal-point formula with radius R cos(beta_epsilon).

  5. $T\bar{T}$ deformations as TsT transformations

    hep-th 2019-08 conditional novelty 6.0 of 10

    T\bar{T} deformations of string worldsheet theories are equivalent to TsT transformations in the T-dual static-gauge frame, with the T\bar{T} CDD factor realized as a Drinfel'd-Reshetikhin twist of the S-matrix.

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