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arXiv · 2601.18621

Duality in $SIM(2)$ topologically massive models with $B\wedge F$ term

Fernando M. Belchior·Roberto V. Maluf
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Abstract

This paper aims to investigate the classical duality between the $SIM(2)$-Maxwell-Kalb-Ramond (MKR) theory and a self-dual non-gauge-invariant model. First, we establish the equivalence in the free-field case using two complementary methods: a direct comparison of the equations of motion and the master Lagrangian approach. In both methodologies, we verify that the classical correspondence between the MKR model and self-dual fields exhibits modifications induced by very special relativity (VSR). Moreover, we employ the master Lagrangian approach to examine the duality when the self-dual model is minimally coupled to fermionic matter. We show that the resulting MKR model contains Thirring-like interactions modified by nonlocal contributions arising from VSR.

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Fernando M. Belchior, Roberto V. Maluf. 2026-01-26. Duality in $SIM(2)$ topologically massive models with $B\wedge F$ term. https://arxiv.org/abs/2601.18621

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