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Related papers: ModMax meets GCA

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Maxwell's Electrodynamics admits two distinct Galilean limits called the Electric and Magnetic limits. We show that the equations of motion in both these limits are invariant under the Galilean Conformal Algebra in D=4, thereby exhibiting…

High Energy Physics - Theory · Physics 2015-06-22 Arjun Bagchi , Rudranil Basu , Aditya Mehra

We prove that a $4d$ theory of non-linear electrodynamics has equations of motion which are equivalent to those of the Maxwell theory in curved spacetime, but with the usual metric $g_{\mu \nu}$ replaced by a unit-determinant metric $h_{\mu…

High Energy Physics - Theory · Physics 2025-01-22 Christian Ferko , Cian Luke Martin

We give a prescription for N=1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the…

High Energy Physics - Theory · Physics 2023-03-08 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend

In this paper, we discuss Galilean relativistic Maxwell theory in detail. We first provide a set of mapping relations, derived systematically, that connect the covariant and contravariant vectors in the Lorentz relativistic and Galilean…

High Energy Physics - Theory · Physics 2023-05-29 Rabin Banerjee , Soumya Bhattacharya

Modified Maxwell electrodynamics, or ModMax for short, is the unique nonlinear extension of Maxwell's theory that preserves its notable symmetries: conformal invariance and electromagnetic duality. ModMax has been studied extensively at the…

High Energy Physics - Theory · Physics 2024-06-28 Cian Luke Martin

We explore dynamical features of the maximally symmetric nonlinear extension of classical electromagnetism, recently proposed in the literature as ``ModMax'' electrodynamics. This family of theories is the only one that preserves all the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Juan Manuel Diaz , Marcelo E. Rubio

Recently, the most general theory of electromagnetism invariant under duality and conformal invariance was written, and dubbed ModMax. It arises from a generalization of Born-Infeld (BI) theory by taking the infinite tension limit,…

High Energy Physics - Theory · Physics 2022-05-17 Horatiu Nastase

The Galilean Conformal Algebra (GCA) arises in taking the non-relativistic limit of the symmetries of a relativistic Conformal Field Theory in any dimensions. It is known to be infinite-dimensional in all spacetime dimensions. In…

High Energy Physics - Theory · Physics 2011-05-10 Arjun Bagchi , Arnab Kundu

We consider the Carrollian limit of ModMax electrodynamics, namely the limit of vanishing speed of light, for the most general, four-dimensional, duality and conformal invariant electromagnetism. The theory is parameterized by a unique real…

High Energy Physics - Theory · Physics 2024-11-05 Francisco Correa , Ankai Hernández , Julio Oliva

We construct a Lagrangian for general nonlinear electrodynamics that features electric and magnetic potentials on equal footing. In the language of this Lagrangian, discrete and continuous electric-magnetic duality symmetries can be…

High Energy Physics - Theory · Physics 2022-01-06 Zhirayr Avetisyan , Oleg Evnin , Karapet Mkrtchyan

In this work we study the so-called ModMax nonlinear electrodynamics, which is a novel model designed to preserve duality rotations and conformal transformations, such as the Maxwell's equations do. This model allows to study diverse…

High Energy Physics - Theory · Physics 2022-02-16 C. A. Escobar , Román Linares , B. Tlatelpa-Mascote

Conformal electrodynamics is a particularly interesting example of power Maxwell non-linear electrodynamics, designed to possess conformal symmetry in all dimensions. In this paper, we propose a regularized version of Conformal…

General Relativity and Quantum Cosmology · Physics 2024-04-23 David Kubiznak , Otakar Svítek , Tayebeh Tahamtan

We consider couplings of electrically and magnetically charged sources to the maximally symmetric non-linear extension of Maxwell's theory called ModMax. The aim is to reveal physical effects which distinguish ModMax from Maxwell's…

High Energy Physics - Theory · Physics 2022-08-17 Kurt Lechner , Pieralberto Marchetti , Andrea Sainaghi , Dmitri P. Sorokin

We make a detailed study of the infinite dimensional Galilean Conformal Algebra (GCA) in the case of two spacetime dimensions. Classically, this algebra is precisely obtained from a contraction of the generators of the relativistic…

High Energy Physics - Theory · Physics 2010-10-08 Arjun Bagchi , Rajesh Gopakumar , Ipsita Mandal , Akitsugu Miwa

Recent experimental results on slow light heighten interest in nonlinear Maxwell theories. We obtain Galilei covariant equations for electromagnetism by allowing special nonlinearities in the constitutive equations only, keeping Maxwell's…

Quantum Physics · Physics 2009-11-06 Gerald A. Goldin , Vladimir Shtelen

We perform a detailed analysis of Galilean field theories, starting with free theories and then interacting theories. We consider non-relativistic versions of massless scalar and Dirac field theories before we go on to review our previous…

High Energy Physics - Theory · Physics 2018-05-23 Arjun Bagchi , Joydeep Chakrabortty , Aditya Mehra

We find the dual equivalent (gauge invariant) version of the Maxwell theory in D=4 with a Proca-like mass term by using the symplectic embedding method. The dual theory obtained (Maxwell-Podolsky) includes a higher-order derivative term and…

High Energy Physics - Theory · Physics 2008-12-05 E. M. C. Abreu , A. C. R. Mendes , C. Neves , W. Oliveira , C. Wotzasek , L. M. V. Xavier

We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one…

High Energy Physics - Theory · Physics 2008-11-26 Erik Verlinde

Galilean Conformal Algebras (GCA) have been recently proposed as a different non-relativistic limit of the AdS/CFT conjecture. In this note, we look at the representations of the GCA. We also construct explicitly the two and three point…

High Energy Physics - Theory · Physics 2014-11-18 Arjun Bagchi , Ipsita Mandal

Abelian gauge theory in $d\neq 4$ spacetime dimensions is an example of a scale invariant theory which does not possess conformal symmetry -- the special conformal transformation(SCT) explicitly breaks the gauge invariance of the theory. In…

High Energy Physics - Theory · Physics 2017-03-20 Kelly Yu-Ju Chiu , Stanley J. Brodsky
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