Dirac-Born-Infeld action from spontaneous breakdown of Lorentz symmetry in brane-world scenarios

Abstract

In whatever Lorentz invariant theory, the presence of extended d-dimensional objects inside a higher dimensional bulk space-time, like for instance D-branes in string theories, induces a spontaneous breakdown of the Poincare' invariance of the bulk; however the effective action describing these extended objects should still respect this larger invariance through a non-linear realization of the full symmetry. Here the specific form of such a realization in presence of an electromagnetic field is uncovered. The Dirac-Born-Infeld type action for a D-brane turns out to be invariant under such transformations. Conversely it is explicitly demonstrated in some simple cases that the most general invariant action, as long as derivatives of the field strength (and second derivatives of the scalars) can be neglected, is a linear combination of terms of the Dirac-Born-Infeld type with different scale parameters. The string result is obtained if one further assumes that the theory depends upon a single length scale.

4 pages, no figures. v4: typos corrected; matches the published version

References in corpus (2)

• On the effective theory of long open strings
• Heat kernel expansion and induced action for the matrix model Dirac operator

Cited by in corpus (11)

• Measuring the stability of fundamental constants with a network of clocks
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• Duality, generalized global symmetries and jet space isometries
• Lorentz completion of effective string action
• Quantum delocalization of strings with boundary action in Yang-Mills theory
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Gravitational waves in metric-affine bumblebee gravity
• Non-metricity effects on electron scattering in bumblebee gravity
• Extended DBI and its generalizations from graded soft theorems