Titles and Abstracts
... Title: Character and dimension formulas for queer Lie superalgebras Abstract: Using Brundan's algorithm, we obtain closed character and dimension formulas for queer Lie superalgebras. This is a recent joint work with R.B.Zhang. Anne Taormina (University of Durham, UK) Title: K3 elliptic genus: glimp ...
... Title: Character and dimension formulas for queer Lie superalgebras Abstract: Using Brundan's algorithm, we obtain closed character and dimension formulas for queer Lie superalgebras. This is a recent joint work with R.B.Zhang. Anne Taormina (University of Durham, UK) Title: K3 elliptic genus: glimp ...
Lecture 1: conformal field theory
... sphere S 2 = R with the standard coordinate z and two holomorphic holes of radius one around 0 and 1. 5. Smoothness: Sometimes one requires that the operator ji depends smoothly (or continuously) on the Riemann surface . To make this assumption, one needs to assume that V is at least a topological ...
... sphere S 2 = R with the standard coordinate z and two holomorphic holes of radius one around 0 and 1. 5. Smoothness: Sometimes one requires that the operator ji depends smoothly (or continuously) on the Riemann surface . To make this assumption, one needs to assume that V is at least a topological ...
Abstracts of the talks
... Given a surface S with a collection of special points on the boundary modulo isotopy, and a split reductive group G, we define a moduli space M (G, S) of G-local systems on S with some special data at the special points. We introduce a function W on M (G, S), the potential. It determines a set of W ...
... Given a surface S with a collection of special points on the boundary modulo isotopy, and a split reductive group G, we define a moduli space M (G, S) of G-local systems on S with some special data at the special points. We introduce a function W on M (G, S), the potential. It determines a set of W ...
Symmetry and Integrability of Nonsinglet Sectors in MQM
... Operator algebra which does not change the representation = spectrum generating algebra for specific representation U(N) invariant operator ...
... Operator algebra which does not change the representation = spectrum generating algebra for specific representation U(N) invariant operator ...
Noncommutative space-time and Dirac constraints - Indico
... the relationship between energy and entropy in our system is given by ...
... the relationship between energy and entropy in our system is given by ...
Schweigert.pdf
... theory they play the role of precorrelators; they also form the state spaces of the associated three-dimensional topological field theory. The monodromy properties of these conformal blocks provide us with a collection of data – fusing matrices, braiding matrices, conformal weights, representations o ...
... theory they play the role of precorrelators; they also form the state spaces of the associated three-dimensional topological field theory. The monodromy properties of these conformal blocks provide us with a collection of data – fusing matrices, braiding matrices, conformal weights, representations o ...
1 Towards functional calculus
... • Complex-valued functions f : C → C form an algebra under point-wise multiplication, and by ‘an algebra of functions’ we mean some subalgebra of this one. • The most important example of an algebra of functions is the polynomials. • The linear transformations of H form an algebra under composition. ...
... • Complex-valued functions f : C → C form an algebra under point-wise multiplication, and by ‘an algebra of functions’ we mean some subalgebra of this one. • The most important example of an algebra of functions is the polynomials. • The linear transformations of H form an algebra under composition. ...
PDF
... Hamiltonian algebroids are generalizations of the Lie algebras of canonical transformations, but cannot be considered just a special case of Lie algebroids. They are instead a special case of a quantum algebroid. Definition 0.1. Let X and Y be two vector fields on a smooth manifold M , represented h ...
... Hamiltonian algebroids are generalizations of the Lie algebras of canonical transformations, but cannot be considered just a special case of Lie algebroids. They are instead a special case of a quantum algebroid. Definition 0.1. Let X and Y be two vector fields on a smooth manifold M , represented h ...
PASCOS - CERN Indico
... Starting with a generic SFT one knows (Wess 1960) that the trace of the energy momentum obeys a local equation : where is local , the “virial current” . If the virial current is a gradient i.e. ...
... Starting with a generic SFT one knows (Wess 1960) that the trace of the energy momentum obeys a local equation : where is local , the “virial current” . If the virial current is a gradient i.e. ...
Symmetries in Conformal Field Theory
... Where does this all come from? One interpretation is that to get these natural equations of motion we’d like a 2-form β whose derivative looks like χ, then we could just add to the density a term like φ∗ β. However χ is not globally exact, so we need to choose an extension of φ to make the term we w ...
... Where does this all come from? One interpretation is that to get these natural equations of motion we’d like a 2-form β whose derivative looks like χ, then we could just add to the density a term like φ∗ β. However χ is not globally exact, so we need to choose an extension of φ to make the term we w ...
Title: Some Combinatorial Problems Inherent in and Related
... Speaker: G.H.E.Duchamp (LIPN, Université Paris XIII) We consider two aspects of the product formula for formal power series applied to combinatorial field theories. Firstly, we remark that the case when the functions involved in the product formula are free exponentials (like in the derivation of Be ...
... Speaker: G.H.E.Duchamp (LIPN, Université Paris XIII) We consider two aspects of the product formula for formal power series applied to combinatorial field theories. Firstly, we remark that the case when the functions involved in the product formula are free exponentials (like in the derivation of Be ...
1 The free boson on the sphere, normal ordering, and all that
... employed above. Give the general relation between normal ordered and radially ordered operators. b) Give the correlator hX(z)X(w)i for the field X(z). Compare this with the correlator of two primary fields in a general CFT. Deduce the correlator h∂X(z)∂X(w)i from hX(z)X(w)i. c) Review the derivation ...
... employed above. Give the general relation between normal ordered and radially ordered operators. b) Give the correlator hX(z)X(w)i for the field X(z). Compare this with the correlator of two primary fields in a general CFT. Deduce the correlator h∂X(z)∂X(w)i from hX(z)X(w)i. c) Review the derivation ...
Very brief introduction to Conformal Field Theory
... Similar chiral correlators have been considered in the Fractional Quantum Hall effect at filling fraction 5/2. This is the so called Pfaffian state due to Moore and Read. FQHE/CFT correspondence ...
... Similar chiral correlators have been considered in the Fractional Quantum Hall effect at filling fraction 5/2. This is the so called Pfaffian state due to Moore and Read. FQHE/CFT correspondence ...
Clément Hongler Spring 2016 Lecture Series EPFL
... structures that allow for extremely precise investigations, yielding in particular nonperturbative descriptions with exact formulae. This series will explain how 2D CFT works, in particular how planar lattice models can be understood using the Minimal Models of CFT. While this connection remains lar ...
... structures that allow for extremely precise investigations, yielding in particular nonperturbative descriptions with exact formulae. This series will explain how 2D CFT works, in particular how planar lattice models can be understood using the Minimal Models of CFT. While this connection remains lar ...