nLab TT deformation

Idea

A $T \overline{T}$-deformation of a conformal field theory is a deformation induced by the term $T \bar T$ quadratic in the energy-momentum tensor

References

General

The original discussion for 2d CFT:

• Alexander Zamolodchikov, Expectation value of composite field $T \bar T$ in two-dimensional quantum field theory (arXiv:hep-th/0401146)

Generalization to CFT of arbitary dimension

• Marika Taylor, TT deformations in general dimensions (arXiv:1805.10287)

Review:

• John Cardy, The $T \bar T$ deformation of quantum field theory, 2018 (pdf, pdf)

• Yunfeng Jiang, Lectures on solvable irrelevant deformations of 2d quantum field theory (arXiv:1904.13376)

• Monica Guica, $T\bar T$ deformations and holography: review and open questions, talk at Strings 2022 [indico:4940816, slides, video]

• Song He, Yi Li, Hao Ouyang, Yuan Sun: $T \overline{T}$ Deformation: Introduction and Some Recent Advances [arXiv:2503.09997]

See also

• George Jorjadze, Stefan Theisen, Canonical maps and integrability in $T \bar T$ deformed 2d CFTs (arXiv:2001.03563)

• John Cardy, Benjamin Doyon, $T \bar T$deformations and the width of fundamental particles (arXiv:2010.15733)

In $AdS_3/CFT_2$

The interpretation of the $T \bar T$-deformation in AdS3-CFT2 duality is due to

• Lauren McGough, Márk Mezei, Herman Verlinde, Moving the CFT into the bulk with $T \bar T$, J. High Energ. Phys. (2018) 2018: 10 (arXiv:1611.03470)

Of the DBI action

Proposal of a non-abelian DBI-action via $T \bar T$-deformation:

• T. Daniel Brennan, Christian Ferko, Savdeep Sethi, A Non-Abelian Analogue of DBI from $T \bar T$ (arXiv:1912.12389)