Aspects of Born-Infeld Theory and String/M-Theory

Abstract

These notes provide a hopefully pedagogic introduction to Born-Infeld theory and some of its uses in String/M-Theory from the perspective of some-one interested in spacetime geometry. Causality and the consequences of having both the open string and closed string metric are stressed. This leads to some new insighst into old problems, such as strings at finite temperature. Various strong coupling limits of both Born-Infeld and the M5-brane theories are described and their relevance for tachyon condensations are mentioned.

29 pages plain Latex. Written version of lectures delivered, amongst other places, at the 37th Karpacz School on Theoretical Physics and the 4th Mexican School on Gravitation and Mathematical Physics

Cited by in corpus (49)

• Black hole chemistry: thermodynamics with Lambda
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• k-Essence, superluminal propagation, causality and emergent geometry
• A non-linear duality-invariant conformal extension of Maxwell's equations
• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Introductory Notes on Non-linear Electrodynamics and its Applications
• Born-Infeld AdS Black Holes as Heat Engines
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Reentrant phase transition of Born-Infeld-AdS black holes
• DBI skyrmion, high energy (large s) scattering and fireball production
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
• Dyonic (A)dS Black Holes in Einstein-Born-Infeld Theory in Diverse Dimensions
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Infrared lessons for ultraviolet gravity: the case of massive gravity and Born-Infeld
• Quasinormal modes and absorption cross sections of Born-Infeld-de Sitter black holes
• Weak cosmic censorship conjecture in Einstein-Born-Infeld black holes
• Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole
• Nonlinear electrodynamics as a symmetric hyperbolic system
• Strong Cosmic Censorship for a Scalar Field in a Born-Infeld-de Sitter Black Hole
• Steady-state Physics, Effective Temperature Dynamics in Holography
• The Nonlinear Stability of the Trivial Solution to the Maxwell-Born-Infeld System
• Holographic Subregion Complexity in Einstein-Born-Infeld theory
• Born-Infeld Type Phantom Model in the $\omega -{\omega }^{\prime }$ Plane
• First order Born-Infeld Hydrodynamics via Gauge/Gravity Duality
• Born-Infeld-de Sitter gravity: Cold, ultracold and Nariai black holes
• Coulomb's law modification driven by a logarithmic electrodynamics
• Aspects of M-5 brane world volume dynamics
• Positive Energy Functional for Massless Scalars in Rotating Black Hole Backgrounds of Maximal Ungauged Supergravity
• Cosmology in Nonlinear Born-Infeld Scalar Field Theory With Negative Potentials
• Holographic fermionic spectrum from Born-Infeld AdS black hole
• Thermodynamic Instability of $3D$ Einstein-Born-Infeld AdS Black Holes
• Exact electromagnetic duality with nonminimal couplings
• Effective Thermal Physics in Holography: A Brief Review
• Non-linear Electrodynamics in Blandford-Znajeck Energy Extraction
• Analytical Calculation of Stored Electrostatic Energy per Unit Length for an Infinite Charged Line and an Infinitely Long Cylinder in the Framework of Born-Infeld Electrostatics
• Thermodynamics of a higher dimensional noncommutative anti-de Sitter-Einstein-Born-infeld black hole
• Well-posedness and long-time behavior of Lipschitz solutions to extremal surface equations
• Towards a holographic theory of cosmology -- threads in a tapestry
• Towards holographic duals for anomalous supercurrents
• A "black hole" solution of scalar field theory
• Holographic transports from Born-Infeld electrodynamics with momentum dissipation
• Stochastic Evolution of Augmented Born--Infeld Equations
• Dyons in Nonabelian Born-Infeld Theory
• Masking a singularity with k-essence fields in an emergent gravity metric
• Matrix Model for membrane and dynamics of D-Particles in a curved space-time geometry and presence of form fields
• Hidden convexity in some nonlinear PDEs from geometry and physics
• Complexity of the Einstein-Born-Infeld-Massive Black holes