In this letter, we investigate the deformation of ModMax theory, as a unique Lagrangian non-linear electrodynamics preserving both conformal and electromagnetic-duality invariance, under $T\bar{T}$-like flows. We will show that deformed theory is generalized Born-Infeld electrodynamics. Being inspired by invariance flow equation for theories, propose another operator generating electrodynamic t...

We study static spherically symmetric monopole solutions in non-Abelian Einstein-Born-Infeld-Higgs model with normal trace structure. These monopoles are similar to the corresponding solution with symmetrised trace structure and are existing only up to some critical value of the strength of the gravitational interaction. In addition, similar to their flat space counterpart, they also admit a cr...

The fields of rapidly moving sources are studied within nonlinear electrodynamics by boosting the fields of sources at rest. As a consequence of the ultrarelativistic limit the δ–like electromagnetic shock waves are found. The character of the field within the shock depends on the theory of nonlinear electrodynamics considered. In particular, we obtain the field of an ultrarelativistic charge i...

Using the superembedding approach, the full supersymmetric effective field theory of the D9-brane, super Born-Infeld theory, is fixed by the so called F-constraint. The odd-odd components of the theory’s super field strength, fαβ, are implied by this constraint. Given fαβ, the super Bianchi identities imply the theory’s equations of motion. We calculate fαβ up to order 5 in fields, correspondin...

I discuss the symmetry structure of the N=2 supersymmetric extension of the Born-Infeld action in four dimensions, and confirm its interpretation as the Goldstone-Maxwell action associated with partial breaking of N=4 extended supersymmetry down to N=2, by revealing a hidden invariance of the action with respect to two non-linearly realized supersymmetries and two spontaneously broken translati...

The inflationary attractor properties of the canonical scalar field and Born-Infeld field are investigated in the Randall-Sundrum II scenario with a Gauss-Bonnet term in the bulk action. We find that the inflationary attractor property will always hold for both the canonical and Born-Infeld fields for any allowed non-negative Gauss-Bonnet coupling. We also briefly discuss the possibility of exp...

We discuss some aspects of the generalization of the Born-Infeld action to non-abelian gauge groups and show how the discrepancy between Tseytlin’s symmetrized trace proposal and string theory can be corrected at order F . We also comment on the possible quadratic order fermionic terms. While the talk I gave at the Gong Show session of Cargèse’ 99 Summer School was devoted to an outline of the ...