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Higher-derivative deformations of the ModMax theory
High Energy Physics - Theory · Submitted 14 Apr 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We present higher-derivative deformations of the ModMax theory which preserve both $\mathsf{U}(1)$ duality symmetry and Weyl invariance.
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The abstract, sentence by sentence
We present higher-derivative deformations of the ModMax theory which preserve both $\mathsf{U}(1)$ 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 $\mathcal{N}=1$ super ModMax theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present higher-derivative deformations of the ModMax theory which preserve both $\mathsf{U}(1)$ duality symmetry and Weyl invariance. | contribution 0.96 | 0.95 | 0.75 | asserted 1.00 |
| s1 | In particular, we single out a class of deformations expected to describe a low-energy effective action for the ModMax theory. | interpretation 0.58 | 0.86 | 0.19 | hedged possibility 0.79 |
| s2 | We also elaborate on (higher-derivative) deformations of the $\mathcal{N}=1$ super ModMax theory. | contribution 1.00 | 0.90 | 0.09 | asserted 0.95 |
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The paper
Original abstract
We present higher-derivative deformations of the ModMax theory which preserve both $\mathsf{U}(1)$ 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 $\mathcal{N}=1$ super ModMax theory.
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References
How the literature uses it
12 arXiv papers cite this in 12 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 8 papers
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In Refs. [ref] , a comprehensive framework for understanding irrelevant $TT̅$-like deformations was developed.
Root-$T\bar{T}$ Deformations on Causal Self-Dual Electrodynamic Theories · Irrelevant $TT̅$-like deformation · 0.92
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The relationship between electromagnetic duality and $T T̅$-like deformations at the effective action level has been explored in [ref] .
Generalized $T\bar{T}$-like flows for scalar theories in two dimensions · Introduction · 0.84
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In addition to the auxiliary-field formulations for self-dual NLED developed in [ref] , and the more general Ivanov-Zupnik approach[The Ivanov-Zupnik formulation is truly universal in the sense that it has been extended to the followings cases: (i) $N =1$ and $N=2$ supersymmetric models for self-dual nonlinear electrodynamics [ref] ; (ii) self-dual theories in $4n$ dimensions [ref] ; (iii) self-dual models for $N$-extended superconformal gauge multiplets [ref] ; and (iv) higher-derivative deformations of self-dual NLED models, including the ModMax theory [ref] .] [ref] , there exist other auxiliary-field formulations for self-dual NLED [ref] .
Causal self-dual nonlinear electrodynamics from the Born-Infeld theory · Concluding comments · 0.96
What it cites · 64 sentences without a confident label
Builds on 5 papers
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The main constructions of this paper can be extended to the conformal chiral two-form field theory in six dimensions [ref] within the approach of [ref] , which combined the virtues of the six-dimensional Pasti-Sorokin-Tonin formulation [ref] with the four-dimensional formalism developed by Ivanov, Nurmagambetov and Zupnik [ref] .
Unifying the PST and the auxiliary tensor field formulations of 4D self-duality · Concluding comments · 0.86
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The main constructions of this paper can be extended to the conformal chiral two-form field theory in six dimensions [ref] within the approach of [ref] , which combined the virtues of the six-dimensional Pasti-Sorokin-Tonin formulation [ref] with the four-dimensional formalism developed by Ivanov, Nurmagambetov and Zupnik [ref] .
On p-form gauge theories and their conformal limits · Concluding comments · 0.86
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The main constructions of this paper can be extended to the conformal chiral two-form field theory in six dimensions [ref] within the approach of [ref] , which combined the virtues of the six-dimensional Pasti-Sorokin-Tonin formulation [ref] with the four-dimensional formalism developed by Ivanov, Nurmagambetov and Zupnik [ref] .
Interacting Chiral Form Field Theories and $T\overline T$-like Flows in Six and Higher Dimensions · Concluding comments · 0.86
Uses the method or tool of 2 papers
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One of them involves the supersymmetric Fradkin-Tseytlin operator [ref] , $$ which is defined by := -1/64 (^2 -4R ) { ^2 ^2 + 8 ^(G_^)} , _=0
Nonlocal action for the super-Weyl anomalies: A new representation · Higher-derivative deformations of super ModMax · 0.89
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One of them involves the supersymmetric Fradkin-Tseytlin operator [ref] , $$ which is defined by := -1/64 (^2 -4R ) { ^2 ^2 + 8 ^(G_^)} , _=0
New higher-derivative invariants in N=2 supergravity and the Gauss-Bonnet term · Higher-derivative deformations of super ModMax · 0.89
Compares with 2 papers
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This is in contrast with the superconformal $(1)$ duality-invariant model for the $=2$ vector multiplet proposed in [ref] .
Superconformal duality-invariant models and $\mathcal{N} = 4$ SYM effective action · Introduction · 0.96
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This is in contrast with the superconformal $(1)$ duality-invariant model for the $=2$ vector multiplet proposed in [ref] .
Supersymmetric Duality Rotations · Introduction · 0.96
Cites as background 20 papers
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Recently much interest has been attracted to the unique conformal $(1)$ duality-invariant nonlinear electrodynamics proposed by Bandos, Lechner, Sorokin and Townsend [ref] .
A non-linear duality-invariant conformal extension of Maxwell's equations · Introduction · 0.95
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Within the GZGR approach or its supersymmetric extensions, a consistent nonlinear deformation of a given $(1)$ duality-invariant theory (say, Maxwell's theory) is typically derived in perturbation theory and requires an infinite number of terms for the deformed action to satisfy the self-duality equation [ref] or its supersymmetric extensions [ref] .
Nonlinear Self-Duality and Supersymmetry · Introduction · 0.89
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Within the GZGR approach or its supersymmetric extensions, a consistent nonlinear deformation of a given $(1)$ duality-invariant theory (say, Maxwell's theory) is typically derived in perturbation theory and requires an infinite number of terms for the deformed action to satisfy the self-duality equation [ref] or its supersymmetric extensions [ref] .
Covariant procedures for perturbative non-linear deformation of duality-invariant theories · Introduction · 0.89
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