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On self-dual Carrollian conformal nonlinear electrodynamics
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On self-dual Carrollian conformal nonlinear electrodynamics
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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 $\text{SO}(2)$ electromagnetic (EM) duality transformations and conformal transformation. We define the Carrollian $\text{SO}(2)$ 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 $\sqrt{T\bar{T}}$ 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 $\sqrt{T\bar{T}}$ flow and may flow to a BMS free multi-scalar model.
Forward citations
Cited by 4 Pith papers
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The Triple $T\bar{T}$-Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant
A one-parameter flow ∂_λ ℒ = ℛ_λ^{1/α} yields closed-form solutions in duality-invariant 4D electrodynamics and 2D integrable sigma models, with α=1 recovering root-TTbar and other values producing irrelevant (α<1) or...
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On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...
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On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
A square-root T-bar-T deformation of 2D scalar fields carries the theory from relativistic conformal to Carrollian conformal, producing a new nonlinear 'magnetic' Carroll action at one end of the flow.
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The Carrollian Kaleidoscope
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
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