Factorization constraints and boundary conditions in rational CFT

Carl Stigner. "Factorization constraints and boundary conditions in rational CFT." Banach Center Publications 93.1 (2011): 211-223. <http://eudml.org/doc/282069>.

@article{CarlStigner2011,
abstract = { Among (conformal) quantum field theories, the rational conformal field theories are singled out by the fact that their correlators can be constructed from a modular tensor category 𝓒 with a distinguished object, a symmetric special Frobenius algebra A in 𝓒, via the so-called TFT-construction. These correlators satisfy in particular all factorization constraints, which involve gluing homomorphisms relating correlators of world sheets of different topology. We review the action of the gluing homomorphisms and discuss the implications of the factorization constraints for boundary conditions. The so-called classifying algebra 𝓐 for a RCFT is a semisimple commutative associative complex algebra, which classifies the boundary conditions of the theory. We show that the annulus partition functions can be obtained from the representation theory of 𝓐. },
author = {Carl Stigner},
journal = {Banach Center Publications},
keywords = {conformal field theory; factorization constraints; boundary conditions; annulus partition functions},
language = {eng},
number = {1},
pages = {211-223},
title = {Factorization constraints and boundary conditions in rational CFT},
url = {http://eudml.org/doc/282069},
volume = {93},
year = {2011},
}

TY - JOUR
AU - Carl Stigner
TI - Factorization constraints and boundary conditions in rational CFT
JO - Banach Center Publications
PY - 2011
VL - 93
IS - 1
SP - 211
EP - 223
AB - Among (conformal) quantum field theories, the rational conformal field theories are singled out by the fact that their correlators can be constructed from a modular tensor category 𝓒 with a distinguished object, a symmetric special Frobenius algebra A in 𝓒, via the so-called TFT-construction. These correlators satisfy in particular all factorization constraints, which involve gluing homomorphisms relating correlators of world sheets of different topology. We review the action of the gluing homomorphisms and discuss the implications of the factorization constraints for boundary conditions. The so-called classifying algebra 𝓐 for a RCFT is a semisimple commutative associative complex algebra, which classifies the boundary conditions of the theory. We show that the annulus partition functions can be obtained from the representation theory of 𝓐.
LA - eng
KW - conformal field theory; factorization constraints; boundary conditions; annulus partition functions
UR - http://eudml.org/doc/282069
ER -