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There are lots of ways to think about the Virasoro Algebra. Diffeomorphisms on the circle, the algebra of boundary charges in AdS_3, ...
YouTube-Sean Downes
Support the channel🌟 Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: ...
YouTube-Michael Penn
Intro
Recap
Why is c in the center of G'?
Conclusion
Application to basis vectors
Solving for LmLn
Definition of f prime
Evaluating H at 1
Evaluating brackets
Why is the cardinal number 112?
We derive the most general form of the Virasoro Algebra from the algebra of derivations of Laurent polynomials.We then related this to the ...
Brief Review
The Laurent Polynomials
Commutative Property of Polynomial Multiplication
General Values of Fm
The Jacobi Identities
Recurrence Relation
Complete Solutions
Next Odd Polynomial Monomial
Change of Basis Trick
Convention Fixes the Normalization Constant of C
This is the first of a series of lectures. Lecture (1): Witt algebra, conformal group, holomorphic bijections, examples.
YouTube-Masoud Khalkhali
Derivation
Derivations
Automorphisms
Examples
Derivatives of Symmetries
Dilation
Cosine of the Angles
Geographic Projection
Relation between Conformal Transformations and Oromorphic Projections
This one took a while! And it's LONG! But I do the whole calculation explicitly so hopefully this is a good reference for you folks.
Strategy
Candidate Degree Operator D
Degree Operator
Central Element C
Lemma One the Action of Lm Where M Is Greater than Zero on the Vacuum Vector V Zero Is Zero Proof
Limit Two Lm
In this video, we quantize the constraints that we got at the classical level. In the process, we derive the Virasoro algebra.
YouTube-Phymaths
Setting up the problem
Witt Algebra
Virasoro Algebra
central charge calculation
Quantum version of the constraint
Central extensions of the Witt algebra, projective representations, Wigner's theorem (symmetries in quantum mechanics), Heisenberg group.
Central Extension
Defining Terms
Sample Charge
Pure States of a Quantum System
Overlap Function
Projective Unity Representation
Central Extensions
Unitary Operators
Matrix Multiplication
The Heisenberg Group
... Virasoro constraints for moduli spaces of sheaves and formulate it using the vertex algebra that D. Joyce recently introduced to study wall ...
YouTube-M-Seminar, Kansas State University
History of Virasoro constraints
Examples of moduli spaces
Moduli spaces of pairs
Virasoro constraints for pairs
Example - rank 2 sheaves on a curve
We will introduce conformal field theory in two dimensions, from the basic principles to some of the simplest models.
YouTube-Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
1. Lead
2. Holomorphic maps. Witt algebra
3. Eigenvalues of L zero
4. Null vectors
5. Background charge. Verma modules
6. Questions from the audience
Comments · Brazil | A Nice Exponential Equation | Math Olympiad · Philippe G. · An algebra for string theory -- The Virasoro algebra. · How Can ...
Explanation of Conformal Field Theory
Partition Function
Correlation Functions
Unitary Theory
Minimal Models of Statistics
Probability Construction
Gaussian Measure
Gaussian Freesium
What Is the Gaussian Free Field
Formula of the Generator
Informal String-Math Seminar, UC Berkeley, Apr 22, 2024. Andy Neitzke (Yale). Abelianization of Virasoro conformal blocks Abstract: Given a ...
YouTube-Informal String Math Seminar
Workshop on Representation Theory, Calabi-Yau Manifolds, and Mirror Symmetry 11/29/22 Speaker: Flor Orosz Hunziker (Colorado) Title: Tensor ...
YouTube-Harvard CMSA
Motivation
Irreducible Modules
A Vertex Operator Super Algebra
Conformal Vector
The Vertex Operator Super Algebra Structure
A Module for a Vertex Operator Super Algebra
Embedding Diagrams
Embedding between Verma Modules
Tensor Products for Vertex Operator Super Algebra
Singular Vector
This is a semiclassical countepart of Virasoro algebra actions in Conformal Field Theory. The main examples include Virasoro coadjoint ...
YouTube-IAMP Seminars
Convection theorems
Hamiltonian setup
Quadrant action
Monodromy matrix
Hyperbolic ends
How does the moment map look like?
Exceptional orbits
Poisson-Sigma models
Lecture 12 Quantization of a closed string; Virasoro operators, graviton, dilaton. 1.9K views · 6 years ago ...more. Arindam Kumar Chatterjee.
YouTube-Arindam Kumar Chatterjee
A Direct Product of Open Strings
Zero Mode
Prime Derivatives
Virasoro Operators
Virasoro Constraints
General State
Graviton
Generalized Geometry
A Closed String Orbifold
Closed String Expansion
The Virasoro Minimal String ▸ Victor Rodriguez (Princeton). 158 views ... One of the most important algebras -- The Witt Algebra. Michael Penn ...
YouTube-Kavli Institute for Theoretical Physics
Presented as part of the Berkeley Center for Theoretical Physics string theory / HEP-QIS seminar on October 4, 2022.
YouTube-Bousso Group at Berkeley
Introduction Holography and Bulk Reconstruction
Beyond Entanglement Entropy
Quadrant Action
Perimeter Family of Modular Hamiltonians
Parallel Transport
Berry Curvature
Penrose Diagram for Ds2
Zero Mode Projection
A Projection Operator
Parallel Transport Probes
... Virasoro algebra. Conformal blocks and modular functor.Consructions of vertex algebras by reduction or by exstensions. 3. Elements of ...
YouTube-Kyoto-U OCW
Comments527 · An algebra for string theory -- The Virasoro algebra. · The universal enveloping algebra · The strange cousin of the complex numbers ...
Linear transformations
Derivation of a constant
The Witt Algebra for negative values of n
Basis of the Witt Algebra
Algebraic Structure
What is an algebra?
Definition of lm and ln
What is the Virasoro Algebra?
An algebra for string theory -- The Virasoro algebra. Michael Penn ... Biquaternions and the Clifford algebra CL(2) (Video 4/14). Cohl Furey ...
YouTube-Cohl Furey
... algebra and define BRST complexes computing the semi ... An algebra for string theory -- The Virasoro algebra. Michael Penn ...