Gluing Black Holes Along Timelike Geodesics
Explore the construction of metrics describing Kerr black holes traveling along timelike geodesics in smooth globally hyperbolic spacetimes, with applications to extreme mass ratio mergers.
Perturbation at Blow Up of Self-Similar Solution for Modified Korteweg-de Vries Equation
Explore stability and perturbation of self-similar solutions' blowup dynamics in the modified Korteweg-de Vries equation, with applications to fluid dynamics and vortex patch formation.
Scattering for Wave Equations with Sources and Slowly Decaying Data
Explore scattering solutions for wave equations with polynomially decaying sources, analyzing radiation fields and asymptotic behavior near the lightcone in nonlinear wave contexts.
Dispersion Estimates for Dirac Equations with Aharonov-Bohm Magnetic Fields
Explore dispersive properties of 2D Dirac operators with Aharonov-Bohm potentials, examining flow components and deducing sharp Strichartz estimates for advanced mathematical analysis.
Weakly Turbulent Solution to the Schrödinger Equation on the 2D Torus with Potential
Explore a smooth solution to the linear Schrödinger equation on a 2D torus, examining logarithmic H^1 Sobolev norm growth and infinite-time blowup using adapted CKSTT techniques.
Scattering Towards the Spacelike Singularity in Kasner Spacetimes
Explore Kasner spacetimes and spacelike singularities in General Relativity through hyperbolic systems, examining blow-up asymptotics and the interplay between Cauchy and asymptotic data.
Festina Lente and Branes in Quantum Gravity
Explore universal bounds on brane tension in de Sitter space using the Festina Lente conjecture, cosmic censorship, and charged black hole evolution in quantum gravity.
Taxonomy of Infinite Distance Limits in Quantum Gravity Moduli Spaces
Explore geometric classification of light towers in quantum gravity moduli spaces, examining constraints, evidence, and applications in infinite-distance limits.
Fully Stabilized Minkowski Vacua in the 26 Landau-Ginzburg Model
Explore fully stabilized Minkowski vacua in the 26 Landau-Ginzburg model, examining theoretical implications for string theory and quantum gravity.
What if String Theory Has a de Sitter Excited State?
Explore the concept of de Sitter space as an excited state in string theory, examining its implications and differences from traditional coherent states.
What if String Theory Has a de Sitter Excited State?
Explore the concept of de Sitter space as an excited state in string theory, examining its implications and differences from traditional coherent states.
Constraints on Kahler Moduli Space of 6D N=1 Supergravity
Explore constraints on Kahler moduli space in 6D N=1 supergravity, delving into advanced theoretical physics concepts and their implications.
Anisotropic Scale-Separated AdS Flux Vacua
Explore anisotropic scale-separated AdS flux vacua in string theory, examining their properties and implications for the landscape/swampland program.
From Perturbative to Non-Perturbative Algebraic Quantum Field Theory
Explore perturbative AQFT's role in constructing strict AQFT models, focusing on sine-Gordon and dynamical C*-algebra examples.
Infinite Algebras and Intertwining Networks for Calogero Models
Explore infinite algebras and intertwining networks in Calogero models, focusing on symmetric observables, W algebras, and newly discovered vertical intertwiners for multi-particle systems.
Relationship Between Grosse-Wulkenhaar Model and N-Body Harmonic Oscillators or Calogero Models
Explore the connection between Grosse-Wulkenhaar model and N-body harmonic oscillators in quantum field theory, presented by Akifumi Sako at ESI's Workshop on Exactly Solvable Models.
Supergroup Chern-Simons Theory
Explore supergroup Chern-Simons theory with Volker Schomerus in this advanced physics lecture from the "Exactly Solvable Models" workshop.
Bethe Ansatz in 2D Conformal Field Theory
Explore Bethe ansatz equations in 2D conformal field theory, examining their relation to W algebras and affine Yangian symmetry. Gain insights into quantum integrability beyond Virasoro algebra.
Braided Quantum Field Theory
Explore braided quantum field theories, their construction using braided homotopy algebras, and their potential to mitigate UV/IR mixing in noncommutative field theories.
Step Potential: Reflection and Transmission Probability Derivation - Part I (E > V)
Explore quantum particle behavior at potential steps, deriving reflection and transmission probabilities. Gain insights into wave-like properties and partial reflection phenomena.
Exploring the Creative Union of Artificial Intelligence and Pure Mathematics
Explore the fusion of AI and pure mathematics, uncovering how machine learning can predict complex mathematical structures and potentially revolutionize theorem proving and scientific discovery.