Higher-derivative deformations of the ModMax theory

Kuzenko, Sergei M.; Raptakis, Emmanouil S. N.

doi:10.1007/jhep06(2024)162

J. High Energ. Phys.

2024

DOI: 10.1007/jhep06(2024)162

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Higher-derivative deformations of the ModMax theory

Sergei M. Kuzenko,

Emmanouil S. N. Raptakis

Abstract: We present higher-derivative deformations of the ModMax theory which preserve both U(1) duality symmetry and Weyl invariance. In particular, we single out a class of deformations expected to describe a low-energy effective action for the ModMax theory. We also elaborate on (higher-derivative) deformations of the $$ \mathcal{N} $$ N = 1 super ModMax theory.

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Cited by 4 publications

References 54 publications

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On self-dual Carrollian conformal nonlinear electrodynamics

Chen,

Hou,

Sun

2024

J. High Energ. Phys.

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In this work, we study the duality symmetry group of Carrollian (nonlinear) electrodynamics and propose a family of Carrollian ModMax theories, which are invariant under Carrollian SO(2) electromagnetic (EM) duality transformations and conformal transformation. We define the Carrollian SO(2) EM transformations, with the help of Hodge duality in Carrollian geometry, then we rederive the Gaillard-Zumino consistency condition for EM duality of Carrollian nonlinear electrodynamics. Together with the traceless condition for the energy-momentum tensor, we are able to determine the Lagrangian of the Carrollian ModMax theories among pure electrodynamics. We furthermore study their behaviors under the $$ \sqrt{T\overline{T}} $$ T T ¯ deformation flow, and show that these theories deform to each other and may reach two endpoints under the flow, with one of the endpoint being the Carrollian Maxwell theory. As a byproduct, we construct a family of two-dimensional Carrollian ModMax-like multiple scalar theories, which are closed under the $$ \sqrt{T\overline{T}} $$ T T ¯ flow and may flow to a BMS free multi-scalar model.

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On self-dual Carrollian conformal nonlinear electrodynamics

Chen,

Hou,

Sun

2024

J. High Energ. Phys.

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Generalized $$ T\overline{T} $$-like deformations in duality-invariant nonlinear electrodynamic theories

Babaei-Aghbolagh,

He,

Ouyang

2024

J. High Energ. Phys.

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This study introduces a high-order perturbation methodology to categorize two primary solution types within duality-invariant nonlinear electrodynamic theories, adhering to the differential self-duality criterion. The first solution type aligns with irrelevant stress tensor flows, resembling $$ T\overline{T} $$ T T ¯ dynamics, and the second involves a blend of irrelevant $$ T\overline{T} $$ T T ¯ -like and marginal root-$$ T\overline{T} $$ T T ¯ -like deformations. Our approach facilitates the investigation of diverse duality-invariant nonlinear electrodynamics theories and their stress tensor flows and confirms the commutativity of flows initiated by irrelevant and marginal operators.

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Flows in the space of interacting chiral boson theories

Ebert,

Ferko,

Luke Martin

et al. 2024

Phys. Rev. D

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We study interacting theories of N left-moving and N¯ right-moving Floreanini-Jackiw bosons in two dimensions. A parametrized family of such theories is shown to enjoy (nonmanifest) Lorentz invariance if and only if its Lagrangian obeys a flow equation driven by a function of the energy-momentum tensor. We discuss the canonical quantization of such theories along classical stress tensor flows, focusing on the case of the root-TT¯ deformation, where we obtain perturbative results for the deformed spectrum in a certain large-momentum limit. In the special case N=N¯, we consider the quantum effective action for the root-TT¯-deformed theory by expanding around a general classical background, and we find that the one-loop contribution vanishes for backgrounds with constant scalar gradients. Our analysis can also be interpreted via dual U(1) Chern-Simons theories in three dimensions, which might be used to describe deformations of charged AdS3 black holes or quantum Hall systems. Published by the American Physical Society 2024

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Higher-derivative deformations of the ModMax theory

Cited by 4 publications

References 54 publications

On self-dual Carrollian conformal nonlinear electrodynamics

On self-dual Carrollian conformal nonlinear electrodynamics

Generalized $$ T\overline{T} $$-like deformations in duality-invariant nonlinear electrodynamic theories

Flows in the space of interacting chiral boson theories

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