A Simple Axiom for Euclidean Quantum Field Theory
Explore a concise mathematical definition of quantum field theory and its implications for physics through a categorical approach to Riemannian manifolds and Hilbert spaces.
Higher Differential Cohomology and Atiyah Connections - Part 2
Explore connections for principal bundles in higher categories, their relation to higher parallel transport, and generalised Atiyah sequence splittings.
Color Kinematics Duality and Homotopy Algebras
Explore tree-level BCJ color-kinematics duality, double copy, and L-infinity algebras, advancing to loop-level duality and BV-box algebra applications in mathematical physics.
Higher Spins from Worldsheet
Explore higher spin states through asymmetrical twisting of string OPE, calculate 4-point amplitudes, and speculate on effective field theory implications.
Moduli Spaces of Flat Connections, BV Formalism and the Goldman-Turaev Lie Bialgebra
Explore moduli spaces of flat connections, BV formalism, and Goldman-Turaev Lie bialgebra in this advanced mathematical physics seminar.
Dirac Cohomology for Lie Superalgebras
Explore Lie superalgebras, cohomology, and Dirac operators, focusing on gl(m|n) case and connections between Lie algebra and Dirac cohomology.
Application of Integral Form Formalism to QFT and Supergravity
Explore integral forms in QFT and supergravity, from motivation to application in constructing physical actions using Poincare' dual forms and supermanifolds.
Construction of Real-Time Local Quantum Field in 1+1 Dimensions
Explore real-time local quantum field construction in 1+1-dimensions using renormalization group techniques and operator-algebraic formulations, avoiding imaginary-time settings.
Twistors of Penrose and Their Generalizations
Explore spinorial representations, SL(2,C) isomorphism, and Penrose's twistor equation in this advanced mathematical physics seminar.
T-duality as a Courant Algebroid Relation
Explore exact Courant algebroids, CA relations, and generalized metrics in this mathematical physics seminar, laying groundwork for Poisson-Lie T-duality discussions.
T-duality as a Courant Algebroid Relation - Part 2
Explore advanced T-duality concepts, including transverse generalized metrics, isometries, and compatible admissible splittings. Uncover existence conditions and equivalent statements in Courant algebroid relations.
Cubic Dirac Operator for U_q(sl_2)
Explore quantum group theory and cubic Dirac operators, focusing on U_q(sl_2) generalization. Gain insights into special linear algebra sl(2) and its quantum counterparts.
Graded Jet Geometry
Explore graded manifolds, vector bundles, and differential operators in jet geometry. Gain insights into advanced mathematical concepts for further study.
Families of Symmetries and the Hydrogen Atom
Explore symmetries in quantum mechanics and their application to the hydrogen atom, uncovering fundamental principles of atomic structure and quantum theory.
Nilpotence Varieties, Pure Spinors Superfields and Supersymmetry
Explore nilpotence varieties, pure spinors superfields, and supersymmetry in this advanced mathematical physics seminar by Simone Noja.
BV Quantization of Noncommutative Field Theories
Explore BV quantization techniques for noncommutative field theories with expert Richard Szabo, delving into advanced mathematical physics concepts and their applications.
Quantum Simulation of Conformal Field Theory
Explore quantum algorithms for simulating conformal field theory dynamics and local conformal transformations in scaling-symmetric systems.
Measurement Incompatibility vs. Bell Non-locality: An Approach via Tensor Norms
Explore measurement incompatibility and quantum non-locality, analyzing their relationship through tensor norms and Bell inequalities in quantum theory.
Localization Transition in the Discrete Non-Linear Schrödinger Equation
Explore the localization transition in the Discrete Nonlinear Schrödinger Equation, focusing on ensemble inequivalence, microcanonical entropy, and thermodynamic stability using large-deviation techniques.
Stochastic Partial Differential Equations and Regularity Structures - Award Lecture
Explore groundbreaking work on stochastic partial differential equations, revolutionizing mathematical modeling of random physical systems with the theory of regularity structures.
Waves and Wind-Driven Flows in the Ocean - Lecture 3
Explore ocean dynamics through waves and wind-driven flows, focusing on Kelvin-Stuart vortices, their stability, and applications in fluid mechanics and plasma physics.