STRESS TENSOR PERTURBATIONS IN CONFORMAL FIELD THEORY

Stress Tensor Perturbations in Conformal Field Theory

We reconsider the problem of deforming a conformal field theory to a neighboring theory which is again critical. An invariant formulation of this problem is important for understanding the underlying symmetry of string theory. We give a simple derivation of A. Sen’s recent formula for the change in the stress tensor and show that, when correctly interpreted, it is coordinate-invariant. We give ...

Algebra in Braided Tensor Categories and Conformal Field Theory

/ 0203207 Outp - 02 - 13 - P Stress Energy Tensor in C = 0 Logarithmic Conformal Field Theory

We discuss the partners of the stress energy tensor and their structure in Logarithmic conformal field theories. In particular we draw attention to the fundamental differences between theories with zero and non-zero central charge. We analyze the OPE for T , ¯ T and the logarithmic partners t and ¯ t for c = 0 theories.

Operads and Conformal Field Theory Lecture 1: Conformal Field Theory

Physicists have developed very advanced methods to compute such integrals. For example, the famous Feynman diagram technique allows us to compute the above integral for a rather particular function S(x), a small perturbation of a positive de nite quadratic form in R . Sometimes, elaborate techniques of physicists to compute simple things nd an amazing application to very general things in mathe...

From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory.

Two-dimensional conformal quantum field theory (CFT) has inspired an immense amount of mathematics and has interacted with mathematics in very rich ways, in great part through the mathematically dynamic world of string theory. One notable example of this interaction is provided by Verlinde’s conjecture: E. Verlinde (1) conjectured that certain matrices formed by numbers called the “fusion rules...