Root-$T \overline{T}$ Deformations

Ferko, Christian; Sfondrini, Alessandro; Smith, Liam; Tartaglino‐Mazzucchelli, Gabriele

doi:10.48550/arxiv.2206.10515

Cited by 2 publications

(2 citation statements)

References 39 publications

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“…Note Added: After we completed the project, Ref. [26] appeared on arXiv, which has some overlap with our results on scalar ModMax theory as a root flow equation.…”

Section: Scalars Modmax Theory From Marginal T T -Deformationmentioning

confidence: 86%

Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions

Babaei-Aghbolagh¹,

Velni²,

Yekta³

et al. 2022

Preprint

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Recently, the ModMax theory has been proposed as a unique conformal nonlinear extension of electrodynamics. We have shown in [1] that this modification can be reproduced a marginal T T -like deformation from pure Maxwell theory. Further, this deformation is solved by using a perturbative approach. In this letter, we will investigate another ModMax-like deformation for a two-dimensional (2D) scalar field theory. In this regard, we first find a marginal T T -like deformation in two dimensions and then reproduce the MM-like Lagrangian from a multiple 2D scalar field theory.

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“…Note Added: After we completed the project, Ref. [26] appeared on arXiv, which has some overlap with our results on scalar ModMax theory as a root flow equation.…”

Section: Scalars Modmax Theory From Marginal T T -Deformationmentioning

confidence: 86%

Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions

Babaei-Aghbolagh¹,

Velni²,

Yekta³

et al. 2022

Preprint

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“…Note added. On June 22 nd 2022, the day the second version of this work was made public on arXiv, the manuscript [34] appeared. In [34], it is independently shown that the…”

Section: Acknowledgmentsmentioning

confidence: 99%

Metric approach to a $$ \mathrm{T}\overline{\mathrm{T}} $$-like deformation in arbitrary dimensions

Conti

Romanò

Tateo

2022

J. High Energ. Phys.

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We consider a one-parameter family of composite fields — bi-linear in the components of the stress-energy tensor — which generalise the $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ operator to arbitrary space-time dimension d ≥ 2. We show that they induce a deformation of the classical action which is equivalent — at the level of the dynamics — to a field-dependent modification of the background metric tensor according to a specific flow equation. Even though the starting point is the flat space, the deformed metric is generally curved for any d > 2, thus implying that the corresponding deformation can not be interpreted as a coordinate transformation. The central part of the paper is devoted to the development of a recursive algorithm to compute the coefficients of the power series expansion of the solution to the metric flow equation. We show that, under some quite restrictive assumptions on the stress-energy tensor, the power series yields an exact solution. Finally, we consider a class of theories in d = 4 whose stress-energy tensor fulfils the assumptions above mentioned, namely the family of abelian gauge theories in d = 4. For such theories, we obtain the exact expression of the deformed metric and the vierbein. In particular, the latter result implies that ModMax theory in a specific curved space is dynamically equivalent to its Born-Infeld-like extension in flat space. We also discuss a dimensional reduction of the latter theories from d = 4 to d = 2 in which an interesting marginal deformation of d = 2 field theories emerges.

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Root-$T \overline{T}$ Deformations

Cited by 2 publications

References 39 publications

Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions

Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions

Metric approach to a $$ \mathrm{T}\overline{\mathrm{T}} $$-like deformation in arbitrary dimensions

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