Conformal Field Theory Learning Seminar

Time: Tuesday 16-18 / Fridays 12-14
Location: ELTE TTK É-4.51 / Rényi Kutyás
Literature:
[1] Schottenloher, A Mathematical Introduction to Conformal Field Theory
[2] Segal, The Definition of Conformal Field Theory
[3] Frenkel, Lectures on the Langlands program and conformal field theory
[4] Francesco et. al., Conformal Field Theory
[5] Frenkel, Ben-Zvi, Vertex Algebras and Algebraic Curves

Tentative schedule for 2014/15/2:

Date
 Speaker
 Topic
 Reading
Jan. 6
 Gábor
 2D CFT, OS Axiom
 [1] Ch 9
Jan. 13
 Gábor
 Ward Identities, Energy-Impulse Tensor
 [1] Ch 9
Jan. 20
 Gábor
 OPE
 [1] Ch 9
Febr. 3
 Ádám
 Operator Algebra
 [4] Ch 6
Febr. 10
 Ádám
 Conformal Vertex Algebras
 [1] 10.5-10.6, [5] Ch 2,3
Febr. 17
Gyula
Modules of Vertex Algebras [5] Ch 5
Febr. 24
 Gyula
 Bundles of Vertex Algebras [5] Ch 6,8
Febr. 27
 András Szenes

March 3
 Gyula
 Conformal Blocks in Vertex Algebras [5] Ch 9
March 6
 Bence
 CFT on the Torus
 [4] 10.1, 10.2
March 10
 Peti
 Fusion, Verlinde-formula, Modular Invariance
 [4] (10.6?) 10.7, 10.8 (8.4?)


Spring Break


Richard Szabo
Apr. 21
 Szilárd
 Affine Lie Algebras and their Representations
 [4] Ch 13,14
Apr. 24
 Gábor Takács
 WZW I.
 [4] Ch 15
May 8
 Gábor Takács
 WZW II. [4] Ch 15
May 12
 Péter Vecsernyés
 Fusion Rings, Modular Categories [2]
May 19
 Péter Bántay
 Modular Representations
 [2]
May 22
 László Fehér The WZW Hamiltonian System and its Reductions hep-th/9912173
May 26
 Szilárd
 Moduli of Vector Bundles and Theta-Function I.
May 29
 Szilárd
 Moduli of Vector Bundles and Theta-Function II.


Schedule for 2014/15/1:

Date
 Speaker
 Topic
 Reading
Sept. 16
 Bence
 Conformal Transformations and Conformal Killing Fields
 [1] Ch 1
Sept. 23
 Keon
 The Conformal Group
 [1] Ch 2
Sept. 30
 Péter
 Central Extensions of Groups and Lie Algebras I.
 [1] Ch 3
Oct. 7
 Péter
 Central Extensions of Groups and Lie Algebras II. [1] Ch 4
Oct. 14
 Szilárd
 The Virasoro Algebra and its Representation Theory I.
 [1] Ch 5
Oct. 21
 Szilárd
 The Virasoro Algebra and its Representation Theory II. [1] Ch 6, [2] Ch 2
Oct. 28
 Szilárd
 The Virasoro Algebra and its Representation Theory III.
 [1] Ch 6
Nov. 4
 Zoltán Bajnok
 String theory as a CFT
 [1] Ch 7
Nov. 11
 Gábor
 Axioms of RQFT
 [1] Ch 8, [2] Ch 3
Nov. 18
 Gábor
 2D CFT
 [1] Ch 9
Nov. 25
 Ádám
 Vertex algebras I.
 [1] 10.1-10.4
Dec. 2
 András Szenes
 The Verlinde Formula
 [1] Ch 11