Refining the cutoff 3d gravity/$$ T\overline{T} $$ correspondence

Kraus, Per; Monten, Ruben; Roumpedakis, Konstantinos

doi:10.1007/jhep10(2022)094

Cited by 14 publications

(6 citation statements)

References 70 publications

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“…Therefore, deformations of the 3d Maxwell Lagrangian -such as the stress tensor flow which produces the Born-Infeld theory that was presented in the preceding subsection -do not exhibit the usual properties for deformations of CFTs which are often used when studying perturbations of this kind. An especially useful example of such a property is the so-called trace flow equation, which plays a role in many places in the T T literature, including in cutoff AdS 3 holography [70][71][72][73][74][75] and in 4d T T -like flows [48]. We now review and extend this result.…”

Section: Modified Trace Flow Equationmentioning

confidence: 79%

$T \overline{T}$-like flows and $3d$ nonlinear supersymmetry

Ferko,

Hu,

Huang

et al. 2024

SciPost Phys.

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We show that the 3d3d Born-Infeld theory can be generated via an irrelevant deformation of the free Maxwell theory. The deforming operator is constructed from the energy-momentum tensor and includes a novel non-analytic contribution that resembles root-T \ overline{T}ToverlineT. We find that a similar operator deforms a free scalar into the scalar sector of the Dirac-Born-Infeld action, which describes transverse fluctuations of a D-brane, in any dimension. We also analyse trace flow equations and obtain flows for subtracted models driven by a relevant operator. In 3d3d, the irrelevant deformation can be made manifestly supersymmetric by presenting the flow equation in \mathcal{N} = 1𝒩=1 superspace, where the deforming operator is built from supercurrents. We demonstrate that two supersymmetric presentations of the D2-brane effective action, the Maxwell-Goldstone multiplet and the tensor-Goldstone multiplet, satisfy superspace flow equations driven by this supercurrent combination. To do this, we derive expressions for the supercurrents in general classes of vector and tensor/scalar models by directly solving the superspace conservation equations and also by coupling to \mathcal{N} = 1𝒩=1 supergravity. As both of these multiplets exhibit a second, spontaneously broken supersymmetry, this analysis provides further evidence for a connection between current-squared deformations and nonlinearly realized symmetries.

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Section: Modified Trace Flow Equationmentioning

confidence: 79%

$T \overline{T}$-like flows and $3d$ nonlinear supersymmetry

Ferko,

Hu,

Huang

et al. 2024

SciPost Phys.

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“…[50] for a review). The quantization method developed in [51][52][53] could also offer an alternative approach. The present formulation of T T + Λ 2 could also provide a handle for realizing the recent proposals for dS holography in [54,55].…”

Section: Summary and Future Directionsmentioning

confidence: 99%

$$ T\overline{T} $$ + Λ2 from a 2d gravity path integral

Torroba

2023

J. High Energ. Phys.

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We develop a two-dimensional gravity path integral formulation of the $$ T\overline{T} $$ T T ¯ + Λ2 deformation of quantum field theory. This provides an exactly solvable generalization of the pure $$ T\overline{T} $$ T T ¯ deformation that is relevant for de Sitter and flat space holography. The path integral sheds light on quantum aspects of these flows in curved space, most notably the Weyl anomaly, the operator relation for the trace of the energy-momentum tensor, and the renormalization of the composite $$ T\overline{T} $$ T T ¯ operator. It also applies to both the Hagedorn and the holographic signs of such flows. We present explicit calculations for the torus and sphere partition functions that reproduce previous results in the literature, now in path integral language. Finally, we use the path integral representation in order to establish an explicit map with 3d gravity, and obtain new predictions for flat space holography.

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“…where again ρ > 0 is the radial coordinate with asymptotic boundary at ρ and x a = (t, φ) are the coordinate on the boundary with φ ∼ φ + 2π. As before we will use the coordinates w = t + φ and w = −t + φ for convenience 24 .…”

Section: New Ads Boundary Conditionsmentioning

confidence: 99%

“…Solving this can be quite laborious, and one still needs to compute the potential Θ for Ω. For the class of examples that arise in AdS 3 gravity with various boundary conditions, it is possible to bypass all this and pass directly from the conserved (angular)momentum and Hamiltonian to the boundary action, as was employed in the example of cutoff AdS 3 gravity in [21] leading to a boundary Nambu-Goto action, whose origin was clarified in [24].…”

Section: A Forms Conventions B Identically Closed Forms 1 Introductionmentioning

confidence: 99%

Systematics of Boundary Actions in Gauge Theory and Gravity

Kim¹,

Kraus²,

Myers³

2023

Preprint

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We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the corresponding boundary action. Such actions capture all the dynamics of the system that are implied by its asymptotic symmetry group, such as correlation functions of the corresponding conserved currents. Working in the covariant phase space formalism, we develop a collection of approaches for isolating the boundary modes and their dynamics, and illustrate with various examples, notably AdS 3 gravity (with and without a gravitational Chern-Simons terms) subject to assorted boundary conditions.

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Refining the cutoff 3d gravity/$$ T\overline{T} $$ correspondence

Cited by 14 publications

References 70 publications

$T \overline{T}$-like flows and $3d$ nonlinear supersymmetry

$T \overline{T}$-like flows and $3d$ nonlinear supersymmetry

$$ T\overline{T} $$ + Λ2 from a 2d gravity path integral

Systematics of Boundary Actions in Gauge Theory and Gravity

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